src/HOL/Tools/refute.ML
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(*  Title:      HOL/Tools/refute.ML
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    ID:         $Id$
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    Author:     Tjark Weber
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    Copyright   2003-2004
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Finite model generation for HOL formulas, using a SAT solver.
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*)
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(* TODO: case, recursion, size for IDTs are not supported yet *)
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(* ------------------------------------------------------------------------- *)
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(* Declares the 'REFUTE' signature as well as a structure 'Refute'.          *)
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(* Documentation is available in the Isabelle/Isar theory 'HOL/Refute.thy'.  *)
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(* ------------------------------------------------------------------------- *)
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signature REFUTE =
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sig
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	exception REFUTE of string * string
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(* ------------------------------------------------------------------------- *)
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(* Model/interpretation related code (translation HOL -> propositional logic *)
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(* ------------------------------------------------------------------------- *)
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	type params
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	type interpretation
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	type model
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	type arguments
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	exception CANNOT_INTERPRET of Term.term
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	exception MAXVARS_EXCEEDED
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	val add_interpreter : string -> (theory -> model -> arguments -> Term.term -> (interpretation * model * arguments) option) -> theory -> theory
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	val add_printer     : string -> (theory -> model -> Term.term -> interpretation -> (int -> bool) -> Term.term option) -> theory -> theory
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	val interpret : theory -> model -> arguments -> Term.term -> (interpretation * model * arguments)  (* exception CANNOT_INTERPRET *)
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	val print       : theory -> model -> Term.term -> interpretation -> (int -> bool) -> Term.term
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	val print_model : theory -> model -> (int -> bool) -> string
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(* ------------------------------------------------------------------------- *)
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(* Interface                                                                 *)
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(* ------------------------------------------------------------------------- *)
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	val set_default_param  : (string * string) -> theory -> theory
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	val get_default_param  : theory -> string -> string option
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	val get_default_params : theory -> (string * string) list
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	val actual_params      : theory -> (string * string) list -> params
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	val find_model : theory -> params -> Term.term -> bool -> unit
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	val satisfy_term   : theory -> (string * string) list -> Term.term -> unit  (* tries to find a model for a formula *)
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	val refute_term    : theory -> (string * string) list -> Term.term -> unit  (* tries to find a model that refutes a formula *)
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	val refute_subgoal : theory -> (string * string) list -> Thm.thm -> int -> unit
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	val setup : (theory -> theory) list
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end;
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structure Refute : REFUTE =
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struct
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	(* FIXME compatibility -- should avoid std_output altogether *)
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	val std_output = Output.std_output o Output.output;
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	open PropLogic;
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	(* We use 'REFUTE' only for internal error conditions that should    *)
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	(* never occur in the first place (i.e. errors caused by bugs in our *)
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	(* code).  Otherwise (e.g. to indicate invalid input data) we use    *)
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	(* 'error'.                                                          *)
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	exception REFUTE of string * string;  (* ("in function", "cause") *)
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	exception CANNOT_INTERPRET of Term.term;
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	(* should be raised by an interpreter when more variables would be *)
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	(* required than allowed by 'maxvars'                              *)
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	exception MAXVARS_EXCEEDED;
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(* ------------------------------------------------------------------------- *)
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(* TREES                                                                     *)
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(* ------------------------------------------------------------------------- *)
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(* ------------------------------------------------------------------------- *)
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(* tree: implements an arbitrarily (but finitely) branching tree as a list   *)
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(*       of (lists of ...) elements                                          *)
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(* ------------------------------------------------------------------------- *)
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	datatype 'a tree =
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		  Leaf of 'a
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		| Node of ('a tree) list;
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	(* ('a -> 'b) -> 'a tree -> 'b tree *)
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	fun tree_map f tr =
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		case tr of
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		  Leaf x  => Leaf (f x)
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		| Node xs => Node (map (tree_map f) xs);
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	(* ('a * 'b -> 'a) -> 'a * ('b tree) -> 'a *)
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	fun tree_foldl f =
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	let
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		fun itl (e, Leaf x)  = f(e,x)
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		  | itl (e, Node xs) = foldl (tree_foldl f) (e,xs)
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	in
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		itl
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	end;
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	(* 'a tree * 'b tree -> ('a * 'b) tree *)
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	fun tree_pair (t1,t2) =
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		case t1 of
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		  Leaf x =>
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			(case t2 of
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				  Leaf y => Leaf (x,y)
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				| Node _ => raise REFUTE ("tree_pair", "trees are of different height (second tree is higher)"))
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		| Node xs =>
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			(case t2 of
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				  (* '~~' will raise an exception if the number of branches in   *)
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				  (* both trees is different at the current node                 *)
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				  Node ys => Node (map tree_pair (xs ~~ ys))
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				| Leaf _  => raise REFUTE ("tree_pair", "trees are of different height (first tree is higher)"));
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(* ------------------------------------------------------------------------- *)
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(* params: parameters that control the translation into a propositional      *)
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(*         formula/model generation                                          *)
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(*                                                                           *)
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(* The following parameters are supported (and required (!), except for      *)
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(* "sizes"):                                                                 *)
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(*                                                                           *)
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(* Name          Type    Description                                         *)
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(*                                                                           *)
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(* "sizes"       (string * int) list                                         *)
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(*                       Size of ground types (e.g. 'a=2), or depth of IDTs. *)
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(* "minsize"     int     If >0, minimal size of each ground type/IDT depth.  *)
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(* "maxsize"     int     If >0, maximal size of each ground type/IDT depth.  *)
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(* "maxvars"     int     If >0, use at most 'maxvars' Boolean variables      *)
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(*                       when transforming the term into a propositional     *)
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(*                       formula.                                            *)
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(* "maxtime"     int     If >0, terminate after at most 'maxtime' seconds.   *)
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(* "satsolver"   string  SAT solver to be used.                              *)
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(* ------------------------------------------------------------------------- *)
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	type params =
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		{
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			sizes    : (string * int) list,
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			minsize  : int,
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			maxsize  : int,
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			maxvars  : int,
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			maxtime  : int,
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			satsolver: string
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		};
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(* ------------------------------------------------------------------------- *)
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(* interpretation: a term's interpretation is given by a variable of type    *)
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(*                 'interpretation'                                          *)
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(* ------------------------------------------------------------------------- *)
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	type interpretation =
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		prop_formula list tree;
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(* ------------------------------------------------------------------------- *)
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(* model: a model specifies the size of types and the interpretation of      *)
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(*        terms                                                              *)
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(* ------------------------------------------------------------------------- *)
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	type model =
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		(Term.typ * int) list * (Term.term * interpretation) list;
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(* ------------------------------------------------------------------------- *)
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(* arguments: additional arguments required during interpretation of terms   *)
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(* ------------------------------------------------------------------------- *)
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	type arguments =
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		{
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			(* just passed unchanged from 'params' *)
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			maxvars   : int,
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			(* these may change during the translation *)
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			next_idx  : int,
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			bounds    : interpretation list,
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			wellformed: prop_formula
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		};
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	structure RefuteDataArgs =
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	struct
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		val name = "HOL/refute";
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		type T =
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			{interpreters: (string * (theory -> model -> arguments -> Term.term -> (interpretation * model * arguments) option)) list,
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			 printers: (string * (theory -> model -> Term.term -> interpretation -> (int -> bool) -> Term.term option)) list,
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			 parameters: string Symtab.table};
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		val empty = {interpreters = [], printers = [], parameters = Symtab.empty};
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		val copy = I;
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		val prep_ext = I;
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		fun merge
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			({interpreters = in1, printers = pr1, parameters = pa1},
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			 {interpreters = in2, printers = pr2, parameters = pa2}) =
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			{interpreters = rev (merge_alists (rev in1) (rev in2)),
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			 printers = rev (merge_alists (rev pr1) (rev pr2)),
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			 parameters = Symtab.merge (op=) (pa1, pa2)};
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		fun print sg {interpreters, printers, parameters} =
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			Pretty.writeln (Pretty.chunks
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				[Pretty.strs ("default parameters:" :: flat (map (fn (name,value) => [name, "=", value]) (Symtab.dest parameters))),
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				 Pretty.strs ("interpreters:" :: map fst interpreters),
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				 Pretty.strs ("printers:" :: map fst printers)]);
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	end;
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	structure RefuteData = TheoryDataFun(RefuteDataArgs);
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(* ------------------------------------------------------------------------- *)
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(* interpret: tries to interpret the term 't' using a suitable interpreter;  *)
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(*            returns the interpretation and a (possibly extended) model     *)
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(*            that keeps track of the interpretation of subterms             *)
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(* Note: exception 'CANNOT_INTERPRET t' is raised if the term cannot be      *)
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(*       interpreted by any interpreter                                      *)
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(* ------------------------------------------------------------------------- *)
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	(* theory -> model -> arguments -> Term.term -> (interpretation * model * arguments) *)
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	fun interpret thy model args t =
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		(case get_first (fn (_, f) => f thy model args t) (#interpreters (RefuteData.get thy)) of
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		  None   => raise (CANNOT_INTERPRET t)
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		| Some x => x);
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(* ------------------------------------------------------------------------- *)
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(* print: tries to convert the constant denoted by the term 't' into a term  *)
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(*        using a suitable printer                                           *)
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(* ------------------------------------------------------------------------- *)
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	(* theory -> model -> Term.term -> interpretation -> (int -> bool) -> Term.term *)
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	fun print thy model t intr assignment =
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		(case get_first (fn (_, f) => f thy model t intr assignment) (#printers (RefuteData.get thy)) of
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		  None   => Const ("<<no printer available>>", fastype_of t)
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		| Some x => x);
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(* ------------------------------------------------------------------------- *)
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(* print_model: turns the model into a string, using a fixed interpretation  *)
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(*              (given by an assignment for Boolean variables) and suitable  *)
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(*              printers                                                     *)
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(* ------------------------------------------------------------------------- *)
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	(* theory -> model -> (int -> bool) -> string *)
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	fun print_model thy model assignment =
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	let
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		val (typs, terms) = model
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		val typs_msg =
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			if null typs then
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				"empty universe (no type variables in term)\n"
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			else
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				"Size of types: " ^ commas (map (fn (T,i) => Sign.string_of_typ (sign_of thy) T ^ ": " ^ string_of_int i) typs) ^ "\n"
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		val show_consts_msg =
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			if not (!show_consts) andalso Library.exists (is_Const o fst) terms then
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				"set \"show_consts\" to show the interpretation of constants\n"
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			else
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				""
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		val terms_msg =
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			if null terms then
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				"empty interpretation (no free variables in term)\n"
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			else
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				space_implode "\n" (mapfilter (fn (t,intr) =>
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					(* print constants only if 'show_consts' is true *)
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					if (!show_consts) orelse not (is_Const t) then
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						Some (Sign.string_of_term (sign_of thy) t ^ ": " ^ Sign.string_of_term (sign_of thy) (print thy model t intr assignment))
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					else
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						None) terms) ^ "\n"
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	in
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		typs_msg ^ show_consts_msg ^ terms_msg
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	end;
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(* ------------------------------------------------------------------------- *)
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(* PARAMETER MANAGEMENT                                                      *)
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(* ------------------------------------------------------------------------- *)
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	(* string -> (theory -> model -> arguments -> Term.term -> (interpretation * model * arguments) option) -> theory -> theory *)
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	fun add_interpreter name f thy =
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	let
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		val {interpreters, printers, parameters} = RefuteData.get thy
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	in
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		case assoc (interpreters, name) of
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		  None   => RefuteData.put {interpreters = (name, f) :: interpreters, printers = printers, parameters = parameters} thy
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		| Some _ => error ("Interpreter " ^ name ^ " already declared")
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	end;
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	(* string -> (theory -> model -> Term.term -> interpretation -> (int -> bool) -> Term.term option) -> theory -> theory *)
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	fun add_printer name f thy =
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	let
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		val {interpreters, printers, parameters} = RefuteData.get thy
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	in
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		case assoc (printers, name) of
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		  None   => RefuteData.put {interpreters = interpreters, printers = (name, f) :: printers, parameters = parameters} thy
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		| Some _ => error ("Printer " ^ name ^ " already declared")
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	end;
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(* ------------------------------------------------------------------------- *)
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(* set_default_param: stores the '(name, value)' pair in RefuteData's        *)
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(*                    parameter table                                        *)
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(* ------------------------------------------------------------------------- *)
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	(* (string * string) -> theory -> theory *)
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	fun set_default_param (name, value) thy =
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	let
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		val {interpreters, printers, parameters} = RefuteData.get thy
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	in
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		case Symtab.lookup (parameters, name) of
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		  None   => RefuteData.put
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			{interpreters = interpreters, printers = printers, parameters = Symtab.extend (parameters, [(name, value)])} thy
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		| Some _ => RefuteData.put
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			{interpreters = interpreters, printers = printers, parameters = Symtab.update ((name, value), parameters)} thy
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	end;
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(* ------------------------------------------------------------------------- *)
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(* get_default_param: retrieves the value associated with 'name' from        *)
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(*                    RefuteData's parameter table                           *)
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(* ------------------------------------------------------------------------- *)
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	(* theory -> string -> string option *)
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	fun get_default_param thy name = Symtab.lookup ((#parameters o RefuteData.get) thy, name);
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(* ------------------------------------------------------------------------- *)
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(* get_default_params: returns a list of all '(name, value)' pairs that are  *)
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(*                     stored in RefuteData's parameter table                *)
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(* ------------------------------------------------------------------------- *)
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	(* theory -> (string * string) list *)
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	fun get_default_params thy = (Symtab.dest o #parameters o RefuteData.get) thy;
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(* ------------------------------------------------------------------------- *)
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(* actual_params: takes a (possibly empty) list 'params' of parameters that  *)
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(*      override the default parameters currently specified in 'thy', and    *)
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(*      returns a record that can be passed to 'find_model'.                 *)
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(* ------------------------------------------------------------------------- *)
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	(* theory -> (string * string) list -> params *)
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	fun actual_params thy override =
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	let
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		(* (string * string) list * string -> int *)
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		fun read_int (parms, name) =
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			case assoc_string (parms, name) of
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			  Some s => (case Int.fromString s of
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				  SOME i => i
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				| NONE   => error ("parameter " ^ quote name ^ " (value is " ^ quote s ^ ") must be an integer value"))
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			| None   => error ("parameter " ^ quote name ^ " must be assigned a value")
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		(* (string * string) list * string -> string *)
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		fun read_string (parms, name) =
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			case assoc_string (parms, name) of
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			  Some s => s
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			| None   => error ("parameter " ^ quote name ^ " must be assigned a value")
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		(* (string * string) list *)
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		val allparams = override @ (get_default_params thy)  (* 'override' first, defaults last *)
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		(* int *)
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		val minsize   = read_int (allparams, "minsize")
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		val maxsize   = read_int (allparams, "maxsize")
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		val maxvars   = read_int (allparams, "maxvars")
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      val maxtime   = read_int (allparams, "maxtime")
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		(* string *)
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		val satsolver = read_string (allparams, "satsolver")
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		(* all remaining parameters of the form "string=int" are collected in  *)
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		(* 'sizes'                                                             *)
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		(* TODO: it is currently not possible to specify a size for a type     *)
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		(*       whose name is one of the other parameters (e.g. 'maxvars')    *)
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		(* (string * int) list *)
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		val sizes     = mapfilter
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			(fn (name,value) => (case Int.fromString value of SOME i => Some (name, i) | NONE => None))
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			(filter (fn (name,_) => name<>"minsize" andalso name<>"maxsize" andalso name<>"maxvars" andalso name<>"maxtime" andalso name<>"satsolver")
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				allparams)
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	in
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		{sizes=sizes, minsize=minsize, maxsize=maxsize, maxvars=maxvars, maxtime=maxtime, satsolver=satsolver}
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	end;
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diff changeset
   381
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   382
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   383
(* TRANSLATION HOL -> PROPOSITIONAL LOGIC, BOOLEAN ASSIGNMENT -> MODEL       *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   384
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   385
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   386
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   387
(* collect_axioms: collects (monomorphic, universally quantified versions    *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   388
(*                 of) all HOL axioms that are relevant w.r.t 't'            *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   389
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   390
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   391
	(* TODO: to make the collection of axioms more easily extensible, this    *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   392
	(*       function could be based on user-supplied "axiom collectors",     *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   393
	(*       similar to 'interpret'/interpreters or 'print'/printers          *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   394
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   395
	(* theory -> Term.term -> Term.term list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   396
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   397
	(* Which axioms are "relevant" for a particular term/type goes hand in    *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   398
	(* hand with the interpretation of that term/type by its interpreter (see *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   399
	(* way below): if the interpretation respects an axiom anyway, the axiom  *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   400
	(* does not need to be added as a constraint here.                        *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   401
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   402
	(* When an axiom is added as relevant, further axioms may need to be      *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   403
	(* added as well (e.g. when a constant is defined in terms of other       *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   404
	(* constants).  To avoid infinite recursion (which should not happen for  *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   405
	(* constants anyway, but it could happen for "typedef"-related axioms,    *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   406
	(* since they contain the type again), we use an accumulator 'axs' and    *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   407
	(* add a relevant axiom only if it is not in 'axs' yet.                   *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   408
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   409
	fun collect_axioms thy t =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   410
	let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   411
		val _ = std_output "Adding axioms..."
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   412
		(* (string * Term.term) list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   413
		val axioms = flat (map (Symtab.dest o #axioms o Theory.rep_theory) (thy :: Theory.ancestors_of thy))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   414
		(* given a constant 's' of type 'T', which is a subterm of 't', where  *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   415
		(* 't' has a (possibly) more general type, the schematic type          *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   416
		(* variables in 't' are instantiated to match the type 'T'             *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   417
		(* (string * Term.typ) * Term.term -> Term.term *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   418
		fun specialize_type ((s, T), t) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   419
		let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   420
			fun find_typeSubs (Const (s', T')) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   421
				(if s=s' then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   422
					Some (Type.typ_match (Sign.tsig_of (sign_of thy)) (Vartab.empty, (T', T)))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   423
				else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   424
					None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   425
				handle Type.TYPE_MATCH => None)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   426
			  | find_typeSubs (Free _)           = None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   427
			  | find_typeSubs (Var _)            = None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   428
			  | find_typeSubs (Bound _)          = None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   429
			  | find_typeSubs (Abs (_, _, body)) = find_typeSubs body
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   430
			  | find_typeSubs (t1 $ t2)          = (case find_typeSubs t1 of Some x => Some x | None => find_typeSubs t2)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   431
			val typeSubs = (case find_typeSubs t of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   432
				  Some x => x
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   433
				| None   => raise REFUTE ("collect_axioms", "no type instantiation found for " ^ quote s ^ " in " ^ Sign.string_of_term (sign_of thy) t))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   434
		in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   435
			map_term_types
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   436
				(map_type_tvar
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   437
					(fn (v,_) =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   438
						case Vartab.lookup (typeSubs, v) of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   439
						  None =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   440
							(* schematic type variable not instantiated *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   441
							raise REFUTE ("collect_axioms", "term " ^ Sign.string_of_term (sign_of thy) t ^ " still has a polymorphic type (after instantiating type of " ^ quote s ^ ")")
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   442
						| Some typ =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   443
							typ))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   444
					t
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   445
		end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   446
		(* Term.term list * Term.typ -> Term.term list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   447
		fun collect_type_axioms (axs, T) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   448
			case T of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   449
			(* simple types *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   450
			  Type ("prop", [])      => axs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   451
			| Type ("fun", [T1, T2]) => collect_type_axioms (collect_type_axioms (axs, T1), T2)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   452
			| Type ("set", [T1])     => collect_type_axioms (axs, T1)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   453
			| Type (s, Ts)           =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   454
				let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   455
					(* look up the definition of a type, as created by "typedef" *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   456
					(* (string * Term.term) list -> (string * Term.term) option *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   457
					fun get_typedefn [] =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   458
						None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   459
					  | get_typedefn ((axname,ax)::axms) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   460
						(let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   461
							(* Term.term -> Term.typ option *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   462
							fun type_of_type_definition (Const (s', T')) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   463
								if s'="Typedef.type_definition" then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   464
									Some T'
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   465
								else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   466
									None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   467
							  | type_of_type_definition (Free _)           = None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   468
							  | type_of_type_definition (Var _)            = None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   469
							  | type_of_type_definition (Bound _)          = None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   470
							  | type_of_type_definition (Abs (_, _, body)) = type_of_type_definition body
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   471
							  | type_of_type_definition (t1 $ t2)          = (case type_of_type_definition t1 of Some x => Some x | None => type_of_type_definition t2)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   472
						in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   473
							case type_of_type_definition ax of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   474
							  Some T' =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   475
								let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   476
									val T''      = (domain_type o domain_type) T'
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   477
									val typeSubs = Type.typ_match (Sign.tsig_of (sign_of thy)) (Vartab.empty, (T'', T))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   478
									val unvar_ax = map_term_types
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   479
										(map_type_tvar
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   480
											(fn (v,_) =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   481
												case Vartab.lookup (typeSubs, v) of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   482
												  None =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   483
													(* schematic type variable not instantiated *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   484
													raise ERROR
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   485
												| Some typ =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   486
													typ))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   487
										ax
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   488
								in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   489
									Some (axname, unvar_ax)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   490
								end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   491
							| None =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   492
								get_typedefn axms
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   493
						end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   494
						handle ERROR           => get_typedefn axms
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   495
						     | MATCH           => get_typedefn axms
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   496
						     | Type.TYPE_MATCH => get_typedefn axms)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   497
				in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   498
					case DatatypePackage.datatype_info thy s of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   499
					  Some info =>  (* inductive datatype *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   500
							(* only collect relevant type axioms for the argument types *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   501
							foldl collect_type_axioms (axs, Ts)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   502
					| None =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   503
						(case get_typedefn axioms of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   504
						  Some (axname, ax) => 
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   505
							if mem_term (ax, axs) then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   506
								(* collect relevant type axioms for the argument types *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   507
								foldl collect_type_axioms (axs, Ts)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   508
							else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   509
								(std_output (" " ^ axname);
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   510
								collect_term_axioms (ax :: axs, ax))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   511
						| None =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   512
							(* at least collect relevant type axioms for the argument types *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   513
							foldl collect_type_axioms (axs, Ts))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   514
				end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   515
			(* TODO: include sort axioms *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   516
			| TFree (_, sorts)       => ((*if not (null sorts) then std_output " *ignoring sorts*" else ();*) axs)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   517
			| TVar  (_, sorts)       => ((*if not (null sorts) then std_output " *ignoring sorts*" else ();*) axs)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   518
		(* Term.term list * Term.term -> Term.term list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   519
		and collect_term_axioms (axs, t) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   520
			case t of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   521
			(* Pure *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   522
			  Const ("all", _)                => axs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   523
			| Const ("==", _)                 => axs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   524
			| Const ("==>", _)                => axs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   525
			(* HOL *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   526
			| Const ("Trueprop", _)           => axs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   527
			| Const ("Not", _)                => axs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   528
			| Const ("True", _)               => axs  (* redundant, since 'True' is also an IDT constructor *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   529
			| Const ("False", _)              => axs  (* redundant, since 'False' is also an IDT constructor *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   530
			| Const ("arbitrary", T)          => collect_type_axioms (axs, T)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   531
			| Const ("The", T)                =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   532
				let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   533
					val ax = specialize_type (("The", T), (the o assoc) (axioms, "HOL.the_eq_trivial"))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   534
				in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   535
					if mem_term (ax, axs) then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   536
						collect_type_axioms (axs, T)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   537
					else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   538
						(std_output " HOL.the_eq_trivial";
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   539
						collect_term_axioms (ax :: axs, ax))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   540
				end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   541
			| Const ("Hilbert_Choice.Eps", T) =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   542
				let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   543
					val ax = specialize_type (("Hilbert_Choice.Eps", T), (the o assoc) (axioms, "Hilbert_Choice.someI"))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   544
				in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   545
					if mem_term (ax, axs) then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   546
						collect_type_axioms (axs, T)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   547
					else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   548
						(std_output " Hilbert_Choice.someI";
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   549
						collect_term_axioms (ax :: axs, ax))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   550
				end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   551
			| Const ("All", _) $ t1           => collect_term_axioms (axs, t1)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   552
			| Const ("Ex", _) $ t1            => collect_term_axioms (axs, t1)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   553
			| Const ("op =", T)               => collect_type_axioms (axs, T)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   554
			| Const ("op &", _)               => axs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   555
			| Const ("op |", _)               => axs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   556
			| Const ("op -->", _)             => axs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   557
			(* sets *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   558
			| Const ("Collect", T)            => collect_type_axioms (axs, T)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   559
			| Const ("op :", T)               => collect_type_axioms (axs, T)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   560
			(* other optimizations *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   561
			| Const ("Finite_Set.card", T)    => collect_type_axioms (axs, T)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   562
			(* simply-typed lambda calculus *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   563
			| Const (s, T)                    =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   564
				let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   565
					(* look up the definition of a constant, as created by "constdefs" *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   566
					(* string -> Term.typ -> (string * Term.term) list -> (string * Term.term) option *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   567
					fun get_defn [] =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   568
						None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   569
					  | get_defn ((axname,ax)::axms) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   570
						(let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   571
							val (lhs, _) = Logic.dest_equals ax  (* equations only *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   572
							val c        = head_of lhs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   573
							val (s', T') = dest_Const c
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   574
						in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   575
							if s=s' then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   576
								let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   577
									val typeSubs = Type.typ_match (Sign.tsig_of (sign_of thy)) (Vartab.empty, (T', T))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   578
									val unvar_ax = map_term_types
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   579
										(map_type_tvar
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   580
											(fn (v,_) =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   581
												case Vartab.lookup (typeSubs, v) of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   582
												  None =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   583
													(* schematic type variable not instantiated *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   584
													raise ERROR
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   585
												| Some typ =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   586
													typ))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   587
										ax
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   588
								in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   589
									Some (axname, unvar_ax)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   590
								end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   591
							else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   592
								get_defn axms
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   593
						end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   594
						handle ERROR           => get_defn axms
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   595
						     | TERM _          => get_defn axms
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   596
						     | Type.TYPE_MATCH => get_defn axms)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   597
						(* unit -> bool *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   598
						fun is_IDT_constructor () =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   599
							(case body_type T of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   600
							  Type (s', _) =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   601
								(case DatatypePackage.constrs_of thy s' of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   602
								  Some constrs =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   603
									Library.exists (fn c =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   604
										(case c of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   605
										  Const (cname, ctype) =>
14810
4b4b97d29370 adjusted for different signature of Type.typ_instance
webertj
parents: 14807
diff changeset
   606
											cname = s andalso Type.typ_instance (Sign.tsig_of (sign_of thy)) (T, ctype)
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   607
										| _ =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   608
											raise REFUTE ("collect_axioms", "IDT constructor is not a constant")))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   609
										constrs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   610
								| None =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   611
									false)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   612
							| _  =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   613
								false)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   614
						(* unit -> bool *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   615
						fun is_IDT_recursor () =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   616
							(* the type of a recursion operator: [T1,...,Tn,IDT]--->TResult (where *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   617
							(* the T1,...,Tn depend on the types of the datatype's constructors)   *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   618
							((case last_elem (binder_types T) of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   619
							  Type (s', _) =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   620
								(case DatatypePackage.datatype_info thy s' of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   621
								  Some info =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   622
									(* TODO: I'm not quite sute if comparing the names is sufficient, or if *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   623
									(*       we should also check the type                                  *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   624
									s mem (#rec_names info)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   625
								| None =>  (* not an inductive datatype *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   626
									false)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   627
							| _ =>  (* a (free or schematic) type variable *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   628
								false)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   629
							handle LIST "last_elem" => false)  (* not even a function type *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   630
				in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   631
					if is_IDT_constructor () orelse is_IDT_recursor () then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   632
						(* only collect relevant type axioms *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   633
						collect_type_axioms (axs, T)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   634
					else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   635
						(case get_defn axioms of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   636
						  Some (axname, ax) => 
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   637
							if mem_term (ax, axs) then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   638
								(* collect relevant type axioms *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   639
								collect_type_axioms (axs, T)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   640
							else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   641
								(std_output (" " ^ axname);
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   642
								collect_term_axioms (ax :: axs, ax))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   643
						| None =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   644
							(* collect relevant type axioms *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   645
							collect_type_axioms (axs, T))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   646
				end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   647
			| Free (_, T)                     => collect_type_axioms (axs, T)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   648
			| Var (_, T)                      => collect_type_axioms (axs, T)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   649
			| Bound i                         => axs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   650
			| Abs (_, T, body)                => collect_term_axioms (collect_type_axioms (axs, T), body)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   651
			| t1 $ t2                         => collect_term_axioms (collect_term_axioms (axs, t1), t2)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   652
		(* universal closure over schematic variables *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   653
		(* Term.term -> Term.term *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   654
		fun close_form t =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   655
		let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   656
			(* (Term.indexname * Term.typ) list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   657
			val vars = sort_wrt (fst o fst) (map dest_Var (term_vars t))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   658
		in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   659
			foldl
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   660
				(fn (t', ((x,i),T)) => (Term.all T) $ Abs (x, T, abstract_over (Var((x,i),T), t')))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   661
				(t, vars)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   662
		end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   663
		(* Term.term list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   664
		val result = map close_form (collect_term_axioms ([], t))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   665
		val _ = writeln " ...done."
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   666
	in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   667
		result
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   668
	end;
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   669
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   670
(* ------------------------------------------------------------------------- *)
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   671
(* ground_types: collects all ground types in a term (including argument     *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   672
(*               types of other types), suppressing duplicates.  Does not    *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   673
(*               return function types, set types, non-recursive IDTs, or    *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   674
(*               'propT'.  For IDTs, also the argument types of constructors *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   675
(*               are considered.                                             *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   676
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   677
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   678
	(* theory -> Term.term -> Term.typ list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   679
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   680
	fun ground_types thy t =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   681
	let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   682
		(* Term.typ * Term.typ list -> Term.typ list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   683
		fun collect_types (T, acc) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   684
			if T mem acc then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   685
				acc  (* prevent infinite recursion (for IDTs) *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   686
			else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   687
				(case T of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   688
				  Type ("fun", [T1, T2]) => collect_types (T1, collect_types (T2, acc))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   689
				| Type ("prop", [])      => acc
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   690
				| Type ("set", [T1])     => collect_types (T1, acc)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   691
				| Type (s, Ts)           =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   692
					(case DatatypePackage.datatype_info thy s of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   693
					  Some info =>  (* inductive datatype *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   694
						let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   695
							val index               = #index info
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   696
							val descr               = #descr info
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   697
							val (_, dtyps, constrs) = (the o assoc) (descr, index)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   698
							val typ_assoc           = dtyps ~~ Ts
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   699
							(* sanity check: every element in 'dtyps' must be a 'DtTFree' *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   700
							val _ = (if Library.exists (fn d =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   701
									case d of DatatypeAux.DtTFree _ => false | _ => true) dtyps
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   702
								then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   703
									raise REFUTE ("ground_types", "datatype argument (for type " ^ Sign.string_of_typ (sign_of thy) (Type (s, Ts)) ^ ") is not a variable")
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   704
								else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   705
									())
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   706
							(* DatatypeAux.descr -> (DatatypeAux.dtyp * Term.typ) list -> DatatypeAux.dtyp -> Term.typ *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   707
							fun typ_of_dtyp descr typ_assoc (DatatypeAux.DtTFree a) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   708
								(* replace a 'DtTFree' variable by the associated type *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   709
								(the o assoc) (typ_assoc, DatatypeAux.DtTFree a)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   710
							  | typ_of_dtyp descr typ_assoc (DatatypeAux.DtRec i) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   711
								let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   712
									val (s, ds, _) = (the o assoc) (descr, i)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   713
								in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   714
									Type (s, map (typ_of_dtyp descr typ_assoc) ds)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   715
								end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   716
							  | typ_of_dtyp descr typ_assoc (DatatypeAux.DtType (s, ds)) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   717
								Type (s, map (typ_of_dtyp descr typ_assoc) ds)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   718
							(* if the current type is a recursive IDT (i.e. a depth is required), add it to 'acc' *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   719
							val acc' = (if Library.exists (fn (_, ds) => Library.exists DatatypeAux.is_rec_type ds) constrs then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   720
									T ins acc
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   721
								else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   722
									acc)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   723
							(* collect argument types *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   724
							val acc_args = foldr collect_types (Ts, acc')
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   725
							(* collect constructor types *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   726
							val acc_constrs = foldr collect_types (flat (map (fn (_, ds) => map (typ_of_dtyp descr typ_assoc) ds) constrs), acc_args)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   727
						in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   728
							acc_constrs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   729
						end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   730
					| None =>  (* not an inductive datatype, e.g. defined via "typedef" or "typedecl" *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   731
						T ins (foldr collect_types (Ts, acc)))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   732
				| TFree _                => T ins acc
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   733
				| TVar _                 => T ins acc)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   734
	in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   735
		it_term_types collect_types (t, [])
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   736
	end;
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   737
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   738
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   739
(* string_of_typ: (rather naive) conversion from types to strings, used to   *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   740
(*                look up the size of a type in 'sizes'.  Parameterized      *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   741
(*                types with different parameters (e.g. "'a list" vs. "bool  *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   742
(*                list") are identified.                                     *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   743
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   744
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   745
	(* Term.typ -> string *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   746
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   747
	fun string_of_typ (Type (s, _))     = s
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   748
	  | string_of_typ (TFree (s, _))    = s
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   749
	  | string_of_typ (TVar ((s,_), _)) = s;
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   750
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   751
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   752
(* first_universe: returns the "first" (i.e. smallest) universe by assigning *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   753
(*                 'minsize' to every type for which no size is specified in *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   754
(*                 'sizes'                                                   *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   755
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   756
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   757
	(* Term.typ list -> (string * int) list -> int -> (Term.typ * int) list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   758
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   759
	fun first_universe xs sizes minsize =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   760
	let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   761
		fun size_of_typ T =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   762
			case assoc (sizes, string_of_typ T) of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   763
			  Some n => n
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   764
			| None   => minsize
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   765
	in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   766
		map (fn T => (T, size_of_typ T)) xs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   767
	end;
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   768
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   769
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   770
(* next_universe: enumerates all universes (i.e. assignments of sizes to     *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   771
(*                types), where the minimal size of a type is given by       *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   772
(*                'minsize', the maximal size is given by 'maxsize', and a   *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   773
(*                type may have a fixed size given in 'sizes'                *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   774
(* ------------------------------------------------------------------------- *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   775
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   776
	(* (Term.typ * int) list -> (string * int) list -> int -> int -> (Term.typ * int) list option *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   777
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   778
	fun next_universe xs sizes minsize maxsize =
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   779
	let
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   780
		(* int -> int list -> int list option *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   781
		fun add1 _ [] =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   782
			None  (* overflow *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   783
		  | add1 max (x::xs) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   784
		 	if x<max orelse max<0 then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   785
				Some ((x+1)::xs)  (* add 1 to the head *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   786
			else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   787
				apsome (fn xs' => 0 :: xs') (add1 max xs)  (* carry-over *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   788
		(* int -> int list * int list -> int list option *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   789
		fun shift _ (_, []) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   790
			None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   791
		  | shift max (zeros, x::xs) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   792
			if x=0 then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   793
				shift max (0::zeros, xs)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   794
			else
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   795
				apsome (fn xs' => (x-1) :: (zeros @ xs')) (add1 max xs)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   796
		(* creates the "first" list of length 'len', where the sum of all list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   797
		(* elements is 'sum', and the length of the list is 'len'              *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   798
		(* int -> int -> int -> int list option *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   799
		fun make_first 0 sum _ =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   800
			if sum=0 then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   801
				Some []
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   802
			else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   803
				None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   804
		  | make_first len sum max =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   805
			if sum<=max orelse max<0 then
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   806
				apsome (fn xs' => sum :: xs') (make_first (len-1) 0 max)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   807
			else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   808
				apsome (fn xs' => max :: xs') (make_first (len-1) (sum-max) max)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   809
		(* enumerates all int lists with a fixed length, where 0<=x<='max' for *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   810
		(* all list elements x (unless 'max'<0)                                *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   811
		(* int -> int list -> int list option *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   812
		fun next max xs =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   813
			(case shift max ([], xs) of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   814
			  Some xs' =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   815
				Some xs'
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   816
			| None =>
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   817
				let
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   818
					val (len, sum) = foldl (fn ((l, s), x) => (l+1, s+x)) ((0, 0), xs)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   819
				in
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   820
					make_first len (sum+1) max  (* increment 'sum' by 1 *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   821
				end)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   822
		(* only consider those types for which the size is not fixed *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   823
		val mutables = filter (fn (T, _) => assoc (sizes, string_of_typ T) = None) xs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   824
		(* subtract 'minsize' from every size (will be added again at the end) *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   825
		val diffs = map (fn (_, n) => n-minsize) mutables
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   826
	in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   827
		case next (maxsize-minsize) diffs of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   828
		  Some diffs' =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   829
			(* merge with those types for which the size is fixed *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   830
			Some (snd (foldl_map (fn (ds, (T, _)) =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   831
				case assoc (sizes, string_of_typ T) of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   832
				  Some n => (ds, (T, n))                      (* return the fixed size *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   833
				| None   => (tl ds, (T, minsize + (hd ds))))  (* consume the head of 'ds', add 'minsize' *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   834
				(diffs', xs)))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   835
		| None =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   836
			None
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   837
	end;
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   838
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   839
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   840
(* toTrue: converts the interpretation of a Boolean value to a propositional *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   841
(*         formula that is true iff the interpretation denotes "true"        *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   842
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   843
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   844
	(* interpretation -> prop_formula *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   845
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   846
	fun toTrue (Leaf [fm,_]) = fm
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   847
	  | toTrue _             = raise REFUTE ("toTrue", "interpretation does not denote a Boolean value");
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   848
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   849
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   850
(* toFalse: converts the interpretation of a Boolean value to a              *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   851
(*          propositional formula that is true iff the interpretation        *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   852
(*          denotes "false"                                                  *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   853
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   854
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   855
	(* interpretation -> prop_formula *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   856
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   857
	fun toFalse (Leaf [_,fm]) = fm
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   858
	  | toFalse _             = raise REFUTE ("toFalse", "interpretation does not denote a Boolean value");
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   859
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   860
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   861
(* find_model: repeatedly calls 'interpret' with appropriate parameters,     *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   862
(*             applies a SAT solver, and (in case a model is found) displays *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   863
(*             the model to the user by calling 'print_model'                *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   864
(* thy       : the current theory                                            *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   865
(* {...}     : parameters that control the translation/model generation      *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   866
(* t         : term to be translated into a propositional formula            *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   867
(* negate    : if true, find a model that makes 't' false (rather than true) *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   868
(* Note: exception 'TimeOut' is raised if the algorithm does not terminate   *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   869
(*       within 'maxtime' seconds (if 'maxtime' >0)                          *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   870
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   871
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   872
	(* theory -> params -> Term.term -> bool -> unit *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   873
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   874
	fun find_model thy {sizes, minsize, maxsize, maxvars, maxtime, satsolver} t negate =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   875
	let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   876
		(* unit -> unit *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   877
		fun wrapper () =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   878
		let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   879
			(* Term.term list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   880
			val axioms = collect_axioms thy t
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   881
			(* Term.typ list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   882
			val types  = foldl (fn (acc, t') => acc union (ground_types thy t')) ([], t :: axioms)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   883
			val _      = writeln ("Ground types: "
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   884
				^ (if null types then "none."
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   885
				   else commas (map (Sign.string_of_typ (sign_of thy)) types)))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   886
			(* (Term.typ * int) list -> unit *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   887
			fun find_model_loop universe =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   888
			(let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   889
				val init_model             = (universe, [])
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   890
				val init_args              = {maxvars = maxvars, next_idx = 1, bounds = [], wellformed = True}
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   891
				val _                      = std_output ("Translating term (sizes: " ^ commas (map (fn (_, n) => string_of_int n) universe) ^ ") ...")
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   892
				(* translate 't' and all axioms *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   893
				val ((model, args), intrs) = foldl_map (fn ((m, a), t') =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   894
					let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   895
						val (i, m', a') = interpret thy m a t'
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   896
					in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   897
						((m', a'), i)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   898
					end) ((init_model, init_args), t :: axioms)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   899
				(* make 't' either true or false, and make all axioms true, and *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   900
				(* add the well-formedness side condition                       *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   901
				val fm_t  = (if negate then toFalse else toTrue) (hd intrs)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   902
				val fm_ax = PropLogic.all (map toTrue (tl intrs))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   903
				val fm    = PropLogic.all [#wellformed args, fm_ax, fm_t]
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   904
			in
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   905
				std_output " invoking SAT solver...";
14965
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   906
				(case SatSolver.invoke_solver satsolver fm of
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   907
				  SatSolver.SATISFIABLE assignment =>
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   908
					writeln ("\n*** Model found: ***\n" ^ print_model thy model (fn i => case assignment i of Some b => b | None => true))
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   909
				| _ =>  (* SatSolver.UNSATISFIABLE, SatSolver.UNKNOWN *)
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   910
					(std_output " no model found.\n";
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   911
					case next_universe universe sizes minsize maxsize of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   912
					  Some universe' => find_model_loop universe'
14965
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   913
					| None           => writeln "Search terminated, no larger universe within the given limits."))
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   914
				handle SatSolver.NOT_CONFIGURED =>
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   915
					error ("SAT solver " ^ quote satsolver ^ " is not configured.")
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   916
			end handle MAXVARS_EXCEEDED =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   917
				writeln ("\nSearch terminated, number of Boolean variables (" ^ string_of_int maxvars ^ " allowed) exceeded.")
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   918
			| CANNOT_INTERPRET t' =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   919
				error ("Unable to interpret term " ^ Sign.string_of_term (sign_of thy) t'))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   920
			in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   921
				find_model_loop (first_universe types sizes minsize)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   922
			end
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   923
		in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   924
			(* some parameter sanity checks *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   925
			assert (minsize>=1) ("\"minsize\" is " ^ string_of_int minsize ^ ", must be at least 1");
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   926
			assert (maxsize>=1) ("\"maxsize\" is " ^ string_of_int maxsize ^ ", must be at least 1");
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   927
			assert (maxsize>=minsize) ("\"maxsize\" (=" ^ string_of_int maxsize ^ ") is less than \"minsize\" (=" ^ string_of_int minsize ^ ").");
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   928
			assert (maxvars>=0) ("\"maxvars\" is " ^ string_of_int maxvars ^ ", must be at least 0");
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   929
			assert (maxtime>=0) ("\"maxtime\" is " ^ string_of_int maxtime ^ ", must be at least 0");
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   930
			(* enter loop with/without time limit *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   931
			writeln ("Trying to find a model that " ^ (if negate then "refutes" else "satisfies") ^ ": "
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   932
				^ Sign.string_of_term (sign_of thy) t);
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   933
			if maxtime>0 then
14965
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   934
				(TimeLimit.timeLimit (Time.fromSeconds (Int.toLarge maxtime))
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   935
					wrapper ()
14965
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   936
				handle TimeLimit.TimeOut =>
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   937
					writeln ("\nSearch terminated, time limit ("
14965
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   938
						^ string_of_int maxtime ^ (if maxtime=1 then " second" else " seconds")
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   939
						^ ") exceeded."))
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   940
			else
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   941
				wrapper ()
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   942
		end;
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   943
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   944
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   945
(* ------------------------------------------------------------------------- *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   946
(* INTERFACE, PART 2: FINDING A MODEL                                        *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   947
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   948
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   949
(* ------------------------------------------------------------------------- *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   950
(* satisfy_term: calls 'find_model' to find a model that satisfies 't'       *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   951
(* params      : list of '(name, value)' pairs used to override default      *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   952
(*               parameters                                                  *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   953
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   954
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   955
	(* theory -> (string * string) list -> Term.term -> unit *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   956
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   957
	fun satisfy_term thy params t =
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   958
		find_model thy (actual_params thy params) t false;
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   959
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   960
(* ------------------------------------------------------------------------- *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   961
(* refute_term: calls 'find_model' to find a model that refutes 't'          *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   962
(* params     : list of '(name, value)' pairs used to override default       *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   963
(*              parameters                                                   *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   964
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   965
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   966
	(* theory -> (string * string) list -> Term.term -> unit *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   967
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   968
	fun refute_term thy params t =
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   969
	let
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   970
		(* disallow schematic type variables, since we cannot properly negate  *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   971
		(* terms containing them (their logical meaning is that there EXISTS a *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   972
		(* type s.t. ...; to refute such a formula, we would have to show that *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   973
		(* for ALL types, not ...)                                             *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   974
		val _ = assert (null (term_tvars t)) "Term to be refuted contains schematic type variables"
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   975
		(* existential closure over schematic variables *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   976
		(* (Term.indexname * Term.typ) list *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   977
		val vars = sort_wrt (fst o fst) (map dest_Var (term_vars t))
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   978
		(* Term.term *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   979
		val ex_closure = foldl
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   980
			(fn (t', ((x,i),T)) => (HOLogic.exists_const T) $ Abs (x, T, abstract_over (Var((x,i),T), t')))
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   981
			(t, vars)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   982
		(* If 't' is of type 'propT' (rather than 'boolT'), applying  *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   983
		(* 'HOLogic.exists_const' is not type-correct.  However, this *)
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   984
		(* is not really a problem as long as 'find_model' still      *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   985
		(* interprets the resulting term correctly, without checking  *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   986
		(* its type.                                                  *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   987
	in
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   988
		find_model thy (actual_params thy params) ex_closure true
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   989
	end;
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   990
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   991
(* ------------------------------------------------------------------------- *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   992
(* refute_subgoal: calls 'refute_term' on a specific subgoal                 *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   993
(* params        : list of '(name, value)' pairs used to override default    *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   994
(*                 parameters                                                *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   995
(* subgoal       : 0-based index specifying the subgoal number               *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   996
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   997
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   998
	(* theory -> (string * string) list -> Thm.thm -> int -> unit *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
   999
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1000
	fun refute_subgoal thy params thm subgoal =
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1001
		refute_term thy params (nth_elem (subgoal, prems_of thm));
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1002
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1003
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1004
(* ------------------------------------------------------------------------- *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1005
(* INTERPRETERS                                                              *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1006
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1007
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1008
(* ------------------------------------------------------------------------- *)
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1009
(* make_constants: returns all interpretations that have the same tree       *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1010
(*                 structure as 'intr', but consist of unit vectors with     *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1011
(*                 'True'/'False' only (no Boolean variables)                *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1012
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1013
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1014
	(* interpretation -> interpretation list *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1015
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1016
	fun make_constants intr =
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1017
	let
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1018
		(* returns a list with all unit vectors of length n *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1019
		(* int -> interpretation list *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1020
		fun unit_vectors n =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1021
		let
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1022
			(* returns the k-th unit vector of length n *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1023
			(* int * int -> interpretation *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1024
			fun unit_vector (k,n) =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1025
				Leaf ((replicate (k-1) False) @ (True :: (replicate (n-k) False)))
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1026
			(* int -> interpretation list -> interpretation list *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1027
			fun unit_vectors_acc k vs =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1028
				if k>n then [] else (unit_vector (k,n))::(unit_vectors_acc (k+1) vs)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1029
		in
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1030
			unit_vectors_acc 1 []
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1031
		end
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1032
		(* concatenates 'x' with every list in 'xss', returning a new list of lists *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1033
		(* 'a -> 'a list list -> 'a list list *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1034
		fun cons_list x xss =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1035
			map (fn xs => x::xs) xss
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1036
		(* returns a list of lists, each one consisting of n (possibly identical) elements from 'xs' *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1037
		(* int -> 'a list -> 'a list list *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1038
		fun pick_all 1 xs =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1039
			map (fn x => [x]) xs
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1040
		  | pick_all n xs =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1041
			let val rec_pick = pick_all (n-1) xs in
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1042
				foldl (fn (acc,x) => (cons_list x rec_pick) @ acc) ([],xs)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1043
			end
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1044
	in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1045
		case intr of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1046
		  Leaf xs => unit_vectors (length xs)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1047
		| Node xs => map (fn xs' => Node xs') (pick_all (length xs) (make_constants (hd xs)))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1048
	end;
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1049
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1050
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1051
(* size_of_type: returns the number of constants in a type (i.e. 'length     *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1052
(*               (make_constants intr)', but implemented more efficiently)   *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1053
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1054
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1055
	(* interpretation -> int *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1056
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1057
	fun size_of_type intr =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1058
	let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1059
		(* power(a,b) computes a^b, for a>=0, b>=0 *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1060
		(* int * int -> int *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1061
		fun power (a,0) = 1
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1062
		  | power (a,1) = a
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1063
		  | power (a,b) = let val ab = power(a,b div 2) in ab * ab * power(a,b mod 2) end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1064
	in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1065
		case intr of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1066
		  Leaf xs => length xs
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1067
		| Node xs => power (size_of_type (hd xs), length xs)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1068
	end;
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1069
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1070
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1071
(* TT/FF: interpretations that denote "true" or "false", respectively        *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1072
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1073
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1074
	(* interpretation *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1075
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1076
	val TT = Leaf [True, False];
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1077
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1078
	val FF = Leaf [False, True];
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1079
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1080
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1081
(* make_equality: returns an interpretation that denotes (extensional)       *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1082
(*                equality of two interpretations                            *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1083
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1084
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1085
	(* We could in principle represent '=' on a type T by a particular        *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1086
	(* interpretation.  However, the size of that interpretation is quadratic *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1087
	(* in the size of T.  Therefore comparing the interpretations 'i1' and    *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1088
	(* 'i2' directly is more efficient than constructing the interpretation   *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1089
	(* for equality on T first, and "applying" this interpretation to 'i1'    *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1090
	(* and 'i2' in the usual way (cf. 'interpretation_apply') then.           *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1091
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1092
	(* interpretation * interpretation -> interpretation *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1093
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1094
	fun make_equality (i1, i2) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1095
	let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1096
		(* interpretation * interpretation -> prop_formula *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1097
		fun equal (i1, i2) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1098
			(case i1 of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1099
			  Leaf xs =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1100
				(case i2 of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1101
				  Leaf ys => PropLogic.dot_product (xs, ys)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1102
				| Node _  => raise REFUTE ("make_equality", "second interpretation is higher"))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1103
			| Node xs =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1104
				(case i2 of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1105
				  Leaf _  => raise REFUTE ("make_equality", "first interpretation is higher")
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1106
				| Node ys => PropLogic.all (map equal (xs ~~ ys))))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1107
		(* interpretation * interpretation -> prop_formula *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1108
		fun not_equal (i1, i2) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1109
			(case i1 of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1110
			  Leaf xs =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1111
				(case i2 of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1112
				  Leaf ys => PropLogic.all ((PropLogic.exists xs) :: (PropLogic.exists ys) ::
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1113
					(map (fn (x,y) => SOr (SNot x, SNot y)) (xs ~~ ys)))  (* defined and not equal *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1114
				| Node _  => raise REFUTE ("make_equality", "second interpretation is higher"))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1115
			| Node xs =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1116
				(case i2 of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1117
				  Leaf _  => raise REFUTE ("make_equality", "first interpretation is higher")
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1118
				| Node ys => PropLogic.exists (map not_equal (xs ~~ ys))))
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1119
	in
14807
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1120
		(* a value may be undefined; therefore 'not_equal' is not just the     *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1121
		(* negation of 'equal':                                                *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1122
		(* - two interpretations are 'equal' iff they are both defined and     *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1123
		(*   denote the same value                                             *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1124
		(* - two interpretations are 'not_equal' iff they are both defined at  *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1125
		(*   least partially, and a defined part denotes different values      *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1126
		(* - an undefined interpretation is neither 'equal' nor 'not_equal' to *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1127
		(*   another value                                                     *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1128
		Leaf [equal (i1, i2), not_equal (i1, i2)]
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1129
	end;
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1130
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1131
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1132
	(* theory -> model -> arguments -> Term.term -> (interpretation * model * arguments) option *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1133
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1134
	(* simply typed lambda calculus: Isabelle's basic term syntax, with type  *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1135
	(* variables, function types, and propT                                   *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1136
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1137
	fun stlc_interpreter thy model args t =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1138
	let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1139
		val (typs, terms)                           = model
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1140
		val {maxvars, next_idx, bounds, wellformed} = args
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1141
		(* Term.typ -> (interpretation * model * arguments) option *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1142
		fun interpret_groundterm T =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1143
		let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1144
			(* unit -> (interpretation * model * arguments) option *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1145
			fun interpret_groundtype () =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1146
			let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1147
				val size = (if T = Term.propT then 2 else (the o assoc) (typs, T))  (* the model MUST specify a size for ground types *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1148
				val next = (if size=2 then next_idx+1 else next_idx+size)  (* optimization for types with size 2 *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1149
				val _    = (if next-1>maxvars andalso maxvars>0 then raise MAXVARS_EXCEEDED else ())  (* check if 'maxvars' is large enough *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1150
				(* prop_formula list *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1151
				val fms  = (if size=2 then [BoolVar next_idx, Not (BoolVar next_idx)]
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1152
					else (map BoolVar (next_idx upto (next_idx+size-1))))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1153
				(* interpretation *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1154
				val intr = Leaf fms
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1155
				(* prop_formula list -> prop_formula *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1156
				fun one_of_two_false []      = True
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1157
				  | one_of_two_false (x::xs) = SAnd (PropLogic.all (map (fn x' => SOr (SNot x, SNot x')) xs), one_of_two_false xs)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1158
				(* prop_formula list -> prop_formula *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1159
				fun exactly_one_true xs = SAnd (PropLogic.exists xs, one_of_two_false xs)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1160
				(* prop_formula *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1161
				val wf   = (if size=2 then True else exactly_one_true fms)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1162
			in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1163
				(* extend the model, increase 'next_idx', add well-formedness condition *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1164
				Some (intr, (typs, (t, intr)::terms), {maxvars = maxvars, next_idx = next, bounds = bounds, wellformed = SAnd (wellformed, wf)})
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1165
			end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1166
		in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1167
			case T of
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1168
			  Type ("fun", [T1, T2]) =>
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1169
				let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1170
					(* we create 'size_of_type (interpret (... T1))' different copies *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1171
					(* of the interpretation for 'T2', which are then combined into a *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1172
					(* single new interpretation                                      *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1173
					val (i1, _, _) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1174
						(interpret thy model {maxvars=0, next_idx=1, bounds=[], wellformed=True} (Free ("dummy", T1))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1175
						handle CANNOT_INTERPRET _ => raise CANNOT_INTERPRET t)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1176
					(* make fresh copies, with different variable indices *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1177
					(* 'idx': next variable index                         *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1178
					(* 'n'  : number of copies                            *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1179
					(* int -> int -> (int * interpretation list * prop_formula *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1180
					fun make_copies idx 0 =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1181
						(idx, [], True)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1182
					  | make_copies idx n =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1183
						let
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1184
							val (copy, _, new_args) =
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1185
								(interpret thy (typs, []) {maxvars = maxvars, next_idx = idx, bounds = [], wellformed = True} (Free ("dummy", T2))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1186
								handle CANNOT_INTERPRET _ => raise CANNOT_INTERPRET t)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1187
							val (idx', copies, wf') = make_copies (#next_idx new_args) (n-1)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1188
						in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1189
							(idx', copy :: copies, SAnd (#wellformed new_args, wf'))
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1190
						end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1191
					val (next, copies, wf) = make_copies next_idx (size_of_type i1)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1192
					(* combine copies into a single interpretation *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1193
					val intr = Node copies
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1194
				in
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1195
					(* extend the model, increase 'next_idx', add well-formedness condition *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1196
					Some (intr, (typs, (t, intr)::terms), {maxvars = maxvars, next_idx = next, bounds = bounds, wellformed = SAnd (wellformed, wf)})
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1197
				end
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset </