src/HOL/Tools/refute.ML
author webertj
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child 15767 8ed9fcc004fe
permissions -rw-r--r--
Bugfix related to the interpretation of IDT constructors
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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   2003-2005
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Finite model generation for HOL formulas, using a SAT solver.
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*)
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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 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)
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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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	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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	(* 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) = Library.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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			maxvars   : int,   (* just passed unchanged from 'params' *)
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			def_eq    : bool,  (* whether to use 'make_equality' or 'make_def_equality' *)
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			(* the following 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:" :: List.concat (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: interprets the term 't' using a suitable interpreter; returns  *)
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(*            the interpretation and a (possibly extended) model that keeps  *)
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(*            track of the interpretation of subterms                        *)
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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 REFUTE ("interpret", "no interpreter for term " ^ quote (Sign.string_of_term (sign_of thy) t))
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		| SOME x => x);
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(* ------------------------------------------------------------------------- *)
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(* print: converts the constant denoted by the term 't' into a term using a  *)
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(*        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   => raise REFUTE ("print", "no printer for term " ^ quote (Sign.string_of_term (sign_of thy) 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" (List.mapPartial (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     = List.mapPartial
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			(fn (name,value) => (case Int.fromString value of SOME i => SOME (name, i) | NONE => NONE))
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			(List.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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(* ------------------------------------------------------------------------- *)
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(* TRANSLATION HOL -> PROPOSITIONAL LOGIC, BOOLEAN ASSIGNMENT -> MODEL       *)
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(* ------------------------------------------------------------------------- *)
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(* ------------------------------------------------------------------------- *)
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(* typ_of_dtyp: converts a data type ('DatatypeAux.dtyp') into a type        *)
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(*              ('Term.typ'), given type parameters for the data type's type *)
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(*              arguments                                                    *)
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(* ------------------------------------------------------------------------- *)
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	(* DatatypeAux.descr -> (DatatypeAux.dtyp * Term.typ) list -> DatatypeAux.dtyp -> Term.typ *)
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   382
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   383
	fun typ_of_dtyp descr typ_assoc (DatatypeAux.DtTFree a) =
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   384
		(* replace a 'DtTFree' variable by the associated type *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   385
		(valOf o assoc) (typ_assoc, DatatypeAux.DtTFree a)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   386
	  | typ_of_dtyp descr typ_assoc (DatatypeAux.DtType (s, ds)) =
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   387
		Type (s, map (typ_of_dtyp descr typ_assoc) ds)
15335
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   388
	  | typ_of_dtyp descr typ_assoc (DatatypeAux.DtRec i) =
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   389
		let
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   390
			val (s, ds, _) = (valOf o assoc) (descr, i)
15335
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   391
		in
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   392
			Type (s, map (typ_of_dtyp descr typ_assoc) ds)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   393
		end;
15335
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   394
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   395
(* ------------------------------------------------------------------------- *)
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
   396
(* 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
   397
(*                 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
   398
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   400
	(* Note: to make the collection of axioms more easily extensible, 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
   401
	(*       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
   402
	(*       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
   403
e8ccb13d7774 major code change: refute can now 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
	(* 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
   405
e8ccb13d7774 major code change: refute can now 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
	(* 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
   407
	(* 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
   408
	(* 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
   409
	(* 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
   410
e8ccb13d7774 major code change: refute can now 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
	(* 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
   412
	(* 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
   413
	(* 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
   414
	(* 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
   415
	(* 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
   416
	(* 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
   417
e8ccb13d7774 major code change: refute can now 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 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
   419
	let
14984
edbc81e60809 immediate_output;
wenzelm
parents: 14965
diff changeset
   420
		val _ = immediate_output "Adding axioms..."
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
   421
		(* (string * Term.term) list *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   422
		val axioms = List.concat (map (Symtab.dest o #axioms o Theory.rep_theory) (thy :: Theory.ancestors_of thy))
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   423
		(* string list *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   424
		val rec_names = Symtab.foldl (fn (acc, (_, info)) =>
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   425
			#rec_names info @ acc) ([], DatatypePackage.get_datatypes thy)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   426
		(* string list *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   427
		val const_of_class_names = map Sign.const_of_class (Sign.classes (sign_of thy))
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
   428
		(* 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
   429
		(* 't' has a (possibly) more general type, the schematic type          *)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   430
		(* variables in 't' are instantiated to match the type 'T' (may raise  *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   431
		(* Type.TYPE_MATCH)                                                    *)
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
   432
		(* (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
   433
		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
   434
		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
   435
			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
   436
				(if s=s' then
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   437
					SOME (Type.typ_match (Sign.tsig_of (sign_of thy)) (Vartab.empty, (T', T))) handle Type.TYPE_MATCH => NONE
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
   438
				else
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   439
					NONE)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   440
			  | find_typeSubs (Free _)           = NONE
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   441
			  | find_typeSubs (Var _)            = NONE
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   442
			  | find_typeSubs (Bound _)          = NONE
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
   443
			  | find_typeSubs (Abs (_, _, body)) = find_typeSubs body
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   444
			  | find_typeSubs (t1 $ t2)          = (case find_typeSubs t1 of SOME x => SOME x | NONE => find_typeSubs t2)
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
   445
			val typeSubs = (case find_typeSubs t of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   446
				  SOME x => x
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   447
				| NONE   => raise Type.TYPE_MATCH (* no match found - perhaps due to sort constraints *))
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
   448
		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
   449
			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
   450
				(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
   451
					(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
   452
						case Vartab.lookup (typeSubs, v) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   453
						  NONE =>
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
   454
							(* 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
   455
							raise REFUTE ("collect_axioms", "term " ^ Sign.string_of_term (sign_of thy) t ^ " still has a polymorphic type (after instantiating type of " ^ quote s ^ ")")
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   456
						| SOME typ =>
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
   457
							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
   458
					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
   459
		end
15280
e0e9bf44afad minor code refactoring
webertj
parents: 15125
diff changeset
   460
		(* applies a type substitution 'typeSubs' for all type variables in a  *)
e0e9bf44afad minor code refactoring
webertj
parents: 15125
diff changeset
   461
		(* term 't'                                                            *)
e0e9bf44afad minor code refactoring
webertj
parents: 15125
diff changeset
   462
		(* Term.typ Term.Vartab.table -> Term.term -> Term.term *)
e0e9bf44afad minor code refactoring
webertj
parents: 15125
diff changeset
   463
		fun monomorphic_term typeSubs t =
e0e9bf44afad minor code refactoring
webertj
parents: 15125
diff changeset
   464
			map_term_types (map_type_tvar
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   465
				(fn (v, _) =>
15280
e0e9bf44afad minor code refactoring
webertj
parents: 15125
diff changeset
   466
					case Vartab.lookup (typeSubs, v) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   467
					  NONE =>
15280
e0e9bf44afad minor code refactoring
webertj
parents: 15125
diff changeset
   468
						(* schematic type variable not instantiated *)
e0e9bf44afad minor code refactoring
webertj
parents: 15125
diff changeset
   469
						raise ERROR
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   470
					| SOME typ =>
15280
e0e9bf44afad minor code refactoring
webertj
parents: 15125
diff changeset
   471
						typ)) 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
   472
		(* Term.term list * Term.typ -> Term.term list *)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   473
		fun collect_sort_axioms (axs, T) =
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   474
			let
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   475
				(* collect the axioms for a single 'class' (but not for its superclasses) *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   476
				(* Term.term list * string -> Term.term list *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   477
				fun collect_class_axioms (axs, class) =
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   478
					let
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   479
						(* obtain the axioms generated by the "axclass" command *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   480
						(* (string * Term.term) list *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   481
						val class_axioms             = List.filter (fn (s, _) => String.isPrefix (class ^ ".axioms_") s) axioms
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   482
						(* replace the one schematic type variable in each axiom by the actual type 'T' *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   483
						(* (string * Term.term) list *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   484
						val monomorphic_class_axioms = map (fn (axname, ax) =>
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   485
							let
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   486
								val (idx, _) = (case term_tvars ax of
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   487
									  [is] => is
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   488
									| _    => raise REFUTE ("collect_axioms", "class axiom " ^ axname ^ " (" ^ Sign.string_of_term (sign_of thy) ax ^ ") does not contain exactly one type variable"))
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   489
							in
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   490
								(axname, monomorphic_term (Vartab.make [(idx, T)]) ax)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   491
							end) class_axioms
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   492
						(* Term.term list * (string * Term.term) list -> Term.term list *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   493
						fun collect_axiom (axs, (axname, ax)) =
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   494
							if mem_term (ax, axs) then
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   495
								axs
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   496
							else (
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   497
								immediate_output (" " ^ axname);
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   498
								collect_term_axioms (ax :: axs, ax)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   499
							)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   500
					in
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   501
						Library.foldl collect_axiom (axs, monomorphic_class_axioms)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   502
					end
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   503
				(* string list *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   504
				val sort = (case T of
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   505
					  TFree (_, sort) => sort
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   506
					| TVar (_, sort)  => sort
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   507
					| _               => raise REFUTE ("collect_axioms", "type " ^ Sign.string_of_typ (sign_of thy) T ^ " is not a variable"))
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   508
				(* obtain all superclasses of classes in 'sort' *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   509
				(* string list *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   510
				val superclasses = Graph.all_succs ((#classes o Type.rep_tsig o Sign.tsig_of o sign_of) thy) sort
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   511
			in
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   512
				Library.foldl collect_class_axioms (axs, superclasses)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   513
			end
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   514
		(* Term.term list * Term.typ -> Term.term list *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   515
		and collect_type_axioms (axs, 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
   516
			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
   517
			(* 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
   518
			  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
   519
			| 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
   520
			| Type ("set", [T1])     => collect_type_axioms (axs, T1)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   521
			| Type ("itself", [T1])  => collect_type_axioms (axs, T1)  (* axiomatic type classes *)
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
   522
			| 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
   523
				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
   524
					(* 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
   525
					(* (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
   526
					fun get_typedefn [] =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   527
						NONE
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
   528
					  | 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
   529
						(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
   530
							(* 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
   531
							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
   532
								if s'="Typedef.type_definition" then
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   533
									SOME 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
   534
								else
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   535
									NONE
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   536
							  | type_of_type_definition (Free _)           = NONE
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   537
							  | type_of_type_definition (Var _)            = NONE
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   538
							  | type_of_type_definition (Bound _)          = NONE
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
   539
							  | type_of_type_definition (Abs (_, _, body)) = type_of_type_definition body
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   540
							  | type_of_type_definition (t1 $ t2)          = (case type_of_type_definition t1 of SOME x => SOME x | NONE => type_of_type_definition t2)
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
   541
						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
   542
							case type_of_type_definition ax of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   543
							  SOME 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
   544
								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
   545
									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
   546
									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
   547
								in
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   548
									SOME (axname, monomorphic_term typeSubs ax)
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
   549
								end
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   550
							| NONE =>
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
   551
								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
   552
						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
   553
						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
   554
						     | 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
   555
						     | 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
   556
				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
   557
					case DatatypePackage.datatype_info thy s of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   558
					  SOME info =>  (* inductive datatype *)
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
   559
							(* only collect relevant type axioms for the argument types *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   560
							Library.foldl collect_type_axioms (axs, Ts)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   561
					| NONE =>
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
   562
						(case get_typedefn axioms of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   563
						  SOME (axname, ax) => 
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
   564
							if mem_term (ax, axs) then
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   565
								(* only collect relevant type axioms for the argument types *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   566
								Library.foldl collect_type_axioms (axs, Ts)
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
   567
							else
14984
edbc81e60809 immediate_output;
wenzelm
parents: 14965
diff changeset
   568
								(immediate_output (" " ^ axname);
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
   569
								collect_term_axioms (ax :: axs, ax))
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   570
						| NONE =>
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   571
							(* unspecified type, perhaps introduced with 'typedecl' *)
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
   572
							(* at least collect relevant type axioms for the argument types *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   573
							Library.foldl collect_type_axioms (axs, Ts))
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
   574
				end
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   575
			| TFree _                => collect_sort_axioms (axs, T)  (* axiomatic type classes *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   576
			| TVar _                 => collect_sort_axioms (axs, T)  (* axiomatic type classes *)
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
   577
		(* 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
   578
		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
   579
			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
   580
			(* 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
   581
			  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
   582
			| 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
   583
			| Const ("==>", _)                => axs
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   584
			| Const ("TYPE", T)               => collect_type_axioms (axs, T)  (* axiomatic type classes *)
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
   585
			(* 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
   586
			| 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
   587
			| 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
   588
			| 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
   589
			| 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
   590
			| 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
   591
			| 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
   592
				let
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   593
					val ax = specialize_type (("The", T), (valOf o assoc) (axioms, "HOL.the_eq_trivial"))
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
   594
				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
   595
					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
   596
						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
   597
					else
14984
edbc81e60809 immediate_output;
wenzelm
parents: 14965
diff changeset
   598
						(immediate_output " HOL.the_eq_trivial";
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
   599
						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
   600
				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
   601
			| 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
   602
				let
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   603
					val ax = specialize_type (("Hilbert_Choice.Eps", T), (valOf o assoc) (axioms, "Hilbert_Choice.someI"))
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
   604
				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
   605
					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
   606
						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
   607
					else
14984
edbc81e60809 immediate_output;
wenzelm
parents: 14965
diff changeset
   608
						(immediate_output " Hilbert_Choice.someI";
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
   609
						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
   610
				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
   611
			| 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
   612
			| 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
   613
			| 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
   614
			| 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
   615
			| 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
   616
			| 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
   617
			(* 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
   618
			| 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
   619
			| 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
   620
			(* 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
   621
			| Const ("Finite_Set.card", T)    => collect_type_axioms (axs, T)
15571
c166086feace interpreter for Finite_Set.Finites added
webertj
parents: 15570
diff changeset
   622
			| Const ("Finite_Set.Finites", T) => collect_type_axioms (axs, T)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   623
			| Const ("op <", T as Type ("fun", [Type ("nat", []), Type ("fun", [Type ("nat", []), Type ("bool", [])])])) => collect_type_axioms (axs, T)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   624
			| Const ("op +", T as Type ("fun", [Type ("nat", []), Type ("fun", [Type ("nat", []), Type ("nat", [])])])) => collect_type_axioms (axs, T)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   625
			| Const ("op -", T as Type ("fun", [Type ("nat", []), Type ("fun", [Type ("nat", []), Type ("nat", [])])])) => collect_type_axioms (axs, T)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   626
			| Const ("op *", T as Type ("fun", [Type ("nat", []), Type ("fun", [Type ("nat", []), Type ("nat", [])])])) => collect_type_axioms (axs, 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
   627
			(* 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
   628
			| 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
   629
				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
   630
					(* 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
   631
					(* 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
   632
					fun get_defn [] =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   633
						NONE
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   634
					  | get_defn ((axname, ax)::axms) =
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
   635
						(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
   636
							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
   637
							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
   638
							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
   639
						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
   640
							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
   641
								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
   642
									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
   643
								in
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   644
									SOME (axname, monomorphic_term typeSubs ax)
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
   645
								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
   646
							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
   647
								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
   648
						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
   649
						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
   650
						     | 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
   651
						     | Type.TYPE_MATCH => get_defn axms)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   652
					(* axiomatic type classes *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   653
					(* unit -> bool *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   654
					fun is_const_of_class () =
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   655
						(* I'm not quite sure if checking the name 's' is sufficient, *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   656
						(* or if we should also check the type 'T'                    *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   657
						s mem const_of_class_names
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   658
					(* inductive data types *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   659
					(* unit -> bool *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   660
					fun is_IDT_constructor () =
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   661
						(case body_type T of
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   662
						  Type (s', _) =>
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   663
							(case DatatypePackage.constrs_of thy s' of
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   664
							  SOME constrs =>
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   665
								Library.exists (fn c =>
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   666
									(case c of
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   667
									  Const (cname, ctype) =>
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   668
										cname = s andalso Type.typ_instance (Sign.tsig_of (sign_of thy)) (T, ctype)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   669
									| _ =>
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   670
										raise REFUTE ("collect_axioms", "IDT constructor is not a constant")))
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   671
									constrs
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   672
							| NONE =>
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
   673
								false)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   674
						| _  =>
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   675
							false)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   676
					(* unit -> bool *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   677
					fun is_IDT_recursor () =
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   678
						(* I'm not quite sure if checking the name 's' is sufficient, *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   679
						(* or if we should also check the type 'T'                    *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   680
						s mem rec_names
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
   681
				in
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   682
					if is_const_of_class () then
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   683
						(* axiomatic type classes: add "OFCLASS(?'a::c, c_class)" and *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   684
						(* the introduction rule "class.intro" as axioms              *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   685
						let
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   686
							val class   = Sign.class_of_const s
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   687
							val inclass = Logic.mk_inclass (TVar (("'a", 0), [class]), class)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   688
							(* Term.term option *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   689
							val ofclass_ax = (SOME (specialize_type ((s, T), inclass)) handle Type.TYPE_MATCH => NONE)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   690
							val intro_ax   = (Option.map (fn t => specialize_type ((s, T), t)) (assoc (axioms, class ^ ".intro")) handle Type.TYPE_MATCH => NONE)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   691
							val axs'       = (case ofclass_ax of NONE => axs | SOME ax => if mem_term (ax, axs) then
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   692
									(* collect relevant type axioms *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   693
									collect_type_axioms (axs, T)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   694
								else
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   695
									(immediate_output (" " ^ Sign.string_of_term (sign_of thy) ax);
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   696
									collect_term_axioms (ax :: axs, ax)))
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   697
							val axs''      = (case intro_ax of NONE => axs' | SOME ax => if mem_term (ax, axs') then
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   698
									(* collect relevant type axioms *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   699
									collect_type_axioms (axs', T)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   700
								else
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   701
									(immediate_output (" " ^ class ^ ".intro");
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   702
									collect_term_axioms (ax :: axs', ax)))
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   703
						in
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   704
							axs''
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   705
						end
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   706
					else if is_IDT_constructor () then
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
   707
						(* 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
   708
						collect_type_axioms (axs, T)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   709
					else if is_IDT_recursor () then
15125
5224130bc0d6 warning for recursion over IDTs added
webertj
parents: 14984
diff changeset
   710
						(* only collect relevant type axioms *)
5224130bc0d6 warning for recursion over IDTs added
webertj
parents: 14984
diff changeset
   711
						collect_type_axioms (axs, T)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   712
					else (
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   713
						case get_defn axioms of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   714
						  SOME (axname, ax) => 
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
   715
							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
   716
								(* 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
   717
								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
   718
							else
14984
edbc81e60809 immediate_output;
wenzelm
parents: 14965
diff changeset
   719
								(immediate_output (" " ^ axname);
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
   720
								collect_term_axioms (ax :: axs, ax))
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   721
						| NONE =>
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
   722
							(* collect relevant type axioms *)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   723
							collect_type_axioms (axs, T)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   724
					)
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
   725
				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
   726
			| 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
   727
			| 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
   728
			| 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
   729
			| 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
   730
			| 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
   731
		(* 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
   732
		(* 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
   733
		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
   734
		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
   735
			(* (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
   736
			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
   737
		in
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   738
			Library.foldl
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   739
				(fn (t', ((x, i), T)) => (Term.all T) $ Abs (x, T, abstract_over (Var((x, i), T), 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
   740
				(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
   741
		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
   742
		(* 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
   743
		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
   744
		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
   745
	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
   746
		result
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   747
	end;
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   748
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   749
(* ------------------------------------------------------------------------- *)
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
   750
(* 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
   751
(*               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
   752
(*               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
   753
(*               '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
   754
(*               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
   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
	(* 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
   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 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
   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
		(* 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
   762
		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
   763
			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
   764
				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
   765
			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
   766
				(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
   767
				  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
   768
				| 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
   769
				| 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
   770
				| 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
   771
					(case DatatypePackage.datatype_info thy s of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   772
					  SOME info =>  (* inductive datatype *)
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
   773
						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
   774
							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
   775
							val descr               = #descr info
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   776
							val (_, dtyps, constrs) = (valOf o assoc) (descr, index)
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
   777
							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
   778
							(* 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
   779
							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
   780
									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
   781
								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
   782
									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
   783
								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
   784
									())
e8ccb13d7774 major code change: refute can now 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
							(* 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
   786
							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
   787
									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
   788
								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
   789
									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
   790
							(* collect argument types *)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15571
diff changeset
   791
							val acc_args = foldr collect_types acc' Ts
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
   792
							(* collect constructor types *)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15571
diff changeset
   793
							val acc_constrs = foldr collect_types acc_args (List.concat (map (fn (_, ds) => map (typ_of_dtyp descr typ_assoc) ds) constrs))
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
   794
						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
   795
							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
   796
						end
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   797
					| NONE =>  (* not an inductive datatype, e.g. defined via "typedef" or "typedecl" *)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15571
diff changeset
   798
						T ins (foldr collect_types acc Ts))
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
   799
				| 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
   800
				| 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
   801
	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
   802
		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
   803
	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
   804
e8ccb13d7774 major code change: refute can now 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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
(* 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
   807
(*                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
   808
(*                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
   809
(*                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
   810
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
e8ccb13d7774 major code change: refute can now 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
	(* 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
   813
e8ccb13d7774 major code change: refute can now 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
	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
   815
	  | 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
   816
	  | 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
   817
e8ccb13d7774 major code change: refute can now 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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   819
(* 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
   820
(*                 '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
   821
(*                 '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
   822
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
e8ccb13d7774 major code change: refute can now 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
	(* 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
   825
e8ccb13d7774 major code change: refute can now 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
	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
   827
	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
   828
		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
   829
			case assoc (sizes, string_of_typ T) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   830
			  SOME n => n
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   831
			| NONE   => minsize
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
   832
	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
   833
		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
   834
	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
   835
e8ccb13d7774 major code change: refute can now 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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
(* 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
   838
(*                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
   839
(*                '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
   840
(*                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
   841
(* ------------------------------------------------------------------------- *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   842
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
   843
	(* (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
   844
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
   845
	fun next_universe xs sizes minsize maxsize =
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   846
	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
   847
		(* 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
   848
		(* 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
   849
		(* int -> int -> int -> int list option *)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   850
		fun make_first _ 0 sum =
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
   851
			if sum=0 then
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   852
				SOME []
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
   853
			else
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   854
				NONE
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   855
		  | make_first max len sum =
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
   856
			if sum<=max orelse max<0 then
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   857
				Option.map (fn xs' => sum :: xs') (make_first max (len-1) 0)
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
   858
			else
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   859
				Option.map (fn xs' => max :: xs') (make_first max (len-1) (sum-max))
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
   860
		(* 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
   861
		(* all list elements x (unless 'max'<0)                                *)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   862
		(* int -> int -> int -> int list -> int list option *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   863
		fun next max len sum [] =
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   864
			NONE
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   865
		  | next max len sum [x] =
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   866
			(* we've reached the last list element, so there's no shift possible *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   867
			make_first max (len+1) (sum+x+1)  (* increment 'sum' by 1 *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   868
		  | next max len sum (x1::x2::xs) =
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   869
			if x1>0 andalso (x2<max orelse max<0) then
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   870
				(* we can shift *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   871
				SOME (valOf (make_first max (len+1) (sum+x1-1)) @ (x2+1) :: xs)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   872
			else
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   873
				(* continue search *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   874
				next max (len+1) (sum+x1) (x2::xs)
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
   875
		(* only consider those types for which the size is not fixed *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   876
		val mutables = List.filter (fn (T, _) => assoc (sizes, string_of_typ T) = NONE) xs
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
   877
		(* 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
   878
		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
   879
	in
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   880
		case next (maxsize-minsize) 0 0 diffs of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   881
		  SOME diffs' =>
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
   882
			(* merge with those types for which the size is fixed *)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   883
			SOME (snd (foldl_map (fn (ds, (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
   884
				case assoc (sizes, string_of_typ T) of
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   885
				  SOME n => (ds, (T, n))                    (* return the fixed size *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   886
				| NONE   => (tl ds, (T, minsize + hd ds)))  (* consume the head of 'ds', add 'minsize' *)
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
   887
				(diffs', xs)))
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   888
		| NONE =>
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   889
			NONE
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
   890
	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
   891
e8ccb13d7774 major code change: refute can now 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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
(* 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
   894
(*         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
   895
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
e8ccb13d7774 major code change: refute can now 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
	(* 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
   898
e8ccb13d7774 major code change: refute can now 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
	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
   900
	  | 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
   901
e8ccb13d7774 major code change: refute can now 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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
(* 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
   904
(*          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
   905
(*          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
   906
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   907
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   908
	(* 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
   909
e8ccb13d7774 major code change: refute can now 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
	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
   911
	  | 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
   912
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   913
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   914
(* 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
   915
(*             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
   916
(*             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
   917
(* 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
   918
(* {...}     : 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
   919
(* 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
   920
(* 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
   921
(* 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
   922
(*       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
   923
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
e8ccb13d7774 major code change: refute can now 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
	(* 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
   926
e8ccb13d7774 major code change: refute can now 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
	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
   928
	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
   929
		(* 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
   930
		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
   931
		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
   932
			(* 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
   933
			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
   934
			(* Term.typ list *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   935
			val types  = Library.foldl (fn (acc, t') => acc union (ground_types thy t')) ([], t :: axioms)
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
   936
			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
   937
				^ (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
   938
				   else commas (map (Sign.string_of_typ (sign_of thy)) types)))
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   939
			(* we can only consider fragments of recursive IDTs, so we issue a  *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   940
			(* warning if the formula contains a recursive IDT                  *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   941
			(* TODO: no warning needed for /positive/ occurrences of IDTs       *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   942
			val _ = if Library.exists (fn
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   943
				  Type (s, _) =>
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   944
					(case DatatypePackage.datatype_info thy s of
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   945
					  SOME info =>  (* inductive datatype *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   946
						let
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   947
							val index           = #index info
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   948
							val descr           = #descr info
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
   949
							val (_, _, constrs) = (valOf o assoc) (descr, index)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   950
						in
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   951
							(* recursive datatype? *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   952
							Library.exists (fn (_, ds) => Library.exists DatatypeAux.is_rec_type ds) constrs
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   953
						end
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   954
					| NONE => false)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   955
				| _ => false) types then
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   956
					warning "Term contains a recursive datatype; countermodel(s) may be spurious!"
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   957
				else
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   958
					()
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
   959
			(* (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
   960
			fun find_model_loop universe =
15334
d5a92997dc1b exception CANNOT_INTERPRET removed (not needed anymore since the stlc_interpreter can interpret any term)
webertj
parents: 15333
diff changeset
   961
			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
   962
				val init_model             = (universe, [])
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   963
				val init_args              = {maxvars = maxvars, def_eq = false, next_idx = 1, bounds = [], wellformed = True}
14984
edbc81e60809 immediate_output;
wenzelm
parents: 14965
diff changeset
   964
				val _                      = immediate_output ("Translating term (sizes: " ^ commas (map (fn (_, n) => string_of_int n) universe) ^ ") ...")
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
   965
				(* 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
   966
				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
   967
					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
   968
						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
   969
					in
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   970
						(* set 'def_eq' to 'true' *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   971
						((m', {maxvars = #maxvars a', def_eq = true, next_idx = #next_idx a', bounds = #bounds a', wellformed = #wellformed a'}), i)
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
   972
					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
   973
				(* 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
   974
				(* 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
   975
				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
   976
				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
   977
				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
   978
			in
14984
edbc81e60809 immediate_output;
wenzelm
parents: 14965
diff changeset
   979
				immediate_output " invoking SAT solver...";
14965
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   980
				(case SatSolver.invoke_solver satsolver fm of
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   981
				  SatSolver.SATISFIABLE assignment =>
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   982
					(writeln " model found!";
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   983
					writeln ("*** Model found: ***\n" ^ print_model thy model (fn i => case assignment i of SOME b => b | NONE => true)))
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   984
				| SatSolver.UNSATISFIABLE =>
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   985
					(immediate_output " no model exists.\n";
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   986
					case next_universe universe sizes minsize maxsize of
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   987
					  SOME universe' => find_model_loop universe'
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   988
					| NONE           => writeln "Search terminated, no larger universe within the given limits.")
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   989
				| SatSolver.UNKNOWN =>
14984
edbc81e60809 immediate_output;
wenzelm
parents: 14965
diff changeset
   990
					(immediate_output " no model found.\n";
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
   991
					case next_universe universe sizes minsize maxsize of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15335
diff changeset
   992
					  SOME universe' => find_model_loop universe'
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   993
					| NONE           => writeln "Search terminated, no larger universe within the given limits.")
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
   994
				) handle SatSolver.NOT_CONFIGURED =>
14965
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
   995
					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
   996
			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
   997
				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
   998
			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
   999
				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
  1000
			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
  1001
		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
  1002
			(* 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
  1003
			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
  1004
			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
  1005
			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
  1006
			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
  1007
			assert (maxtime>=0) ("\"maxtime\" is " ^ string_of_int maxtime ^ ", must be at least 0");
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1008
			(* enter loop with or without time limit *)
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
			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
  1010
				^ Sign.string_of_term (sign_of thy) t);
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1011
			if maxtime>0 then (
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1012
				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
  1013
					wrapper ()
14965
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
  1014
				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
  1015
					writeln ("\nSearch terminated, time limit ("
14965
7155b319eafa new SAT solver interface
webertj
parents: 14818
diff changeset
  1016
						^ string_of_int maxtime ^ (if maxtime=1 then " second" else " seconds")
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1017
						^ ") exceeded.")
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1018
			) 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
  1019
				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
  1020
		end;
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1021
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1022
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1023
(* ------------------------------------------------------------------------- *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1024
(* INTERFACE, PART 2: FINDING A MODEL                                        *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1025
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1026
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1027
(* ------------------------------------------------------------------------- *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1028
(* 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
  1029
(* 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
  1030
(*               parameters                                                  *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1031
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1032
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1033
	(* theory -> (string * string) list -> Term.term -> unit *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1034
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1035
	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
  1036
		find_model thy (actual_params thy params) t false;
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1037
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1038
(* ------------------------------------------------------------------------- *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1039
(* 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
  1040
(* 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
  1041
(*              parameters                                                   *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1042
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1043
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1044
	(* theory -> (string * string) list -> Term.term -> unit *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1045
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1046
	fun refute_term thy params t =
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1047
	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
  1048
		(* 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
  1049
		(* 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
  1050
		(* 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
  1051
		(* for ALL types, not ...)                                             *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1052
		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
  1053
		(* existential closure over schematic variables *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1054
		(* (Term.indexname * Term.typ) list *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1055
		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
  1056
		(* Term.term *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
  1057
		val ex_closure = Library.foldl
15611
c01f11cd08f9 Bugfix related to the interpretation of IDT constructors
webertj
parents: 15574
diff changeset
  1058
			(fn (t', ((x, i), T)) => (HOLogic.exists_const T) $ Abs (x, T, abstract_over (Var ((x, i), T), t')))
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1059
			(t, vars)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1060
		(* 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
  1061
		(* '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
  1062
		(* 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
  1063
		(* interprets the resulting term correctly, without checking  *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1064
		(* its type.                                                  *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1065
	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
  1066
		find_model thy (actual_params thy params) ex_closure true
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1067
	end;
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1068
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1069
(* ------------------------------------------------------------------------- *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1070
(* 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
  1071
(* 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
  1072
(*                 parameters                                                *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1073
(* subgoal       : 0-based index specifying the subgoal number               *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1074
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1075
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1076
	(* theory -> (string * string) list -> Thm.thm -> int -> unit *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1077
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1078
	fun refute_subgoal thy params thm subgoal =
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15547
diff changeset
  1079
		refute_term thy params (List.nth (prems_of thm, subgoal));
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1080
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1081
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1082
(* ------------------------------------------------------------------------- *)
15292
09e218879265 minor changes (comments/code refactoring)
webertj
parents: 15283
diff changeset
  1083
(* INTERPRETERS: Auxiliary Functions                                         *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1084
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1085
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1086
(* ------------------------------------------------------------------------- *)
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
  1087
(* 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
  1088
(*                 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
  1089
(*                 'True'/'False' only (no Boolean variables)                *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1090
(* ------------------------------------------------------------------------- *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1091
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
  1092
	(* interpretation -> interpretation list *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1093
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
  1094
	fun make_constants intr =
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1095
	let
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1096
		(* 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
  1097
		(* int -> interpretation list *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1098
		fun unit_vectors n =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1099
		let
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1100
			(* 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
  1101
			(* int * int -> interpretation *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1102
			fun unit_vector (k,n) =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1103
				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
  1104
			(* int -> interpretation list -> interpretation list *)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1105
			fun unit_vectors_acc k vs =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1106
				if k>n then [] else (unit_vector (k,n))::(unit_vectors_acc (k+1) vs)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1107
		in
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1108
			unit_vectors_acc 1 []
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1109
		end
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1110
		(* concatenates 'x' with every list in 'xss', returning a new list of lists *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1111
		(* 'a -> 'a list list -> 'a list list *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1112
		fun cons_list x xss =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1113
			map (fn xs => x::xs) xss
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1114
		(* returns a list of lists, each one consisting of n (possibly identical) elements from 'xs' *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1115
		(* int -> 'a list -> 'a list list *)
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1116
		fun pick_all 1 xs =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1117
			map (fn x => [x]) xs
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1118
		  | pick_all n xs =
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1119
			let val rec_pick = pick_all (n-1) xs in
15611
c01f11cd08f9 Bugfix related to the interpretation of IDT constructors
webertj
parents: 15574
diff changeset
  1120
				Library.foldl (fn (acc, x) => (cons_list x rec_pick) @ acc) ([], xs)
14350
41b32020d0b3 Adding 'refute' to HOL.
webertj
parents:
diff changeset
  1121
			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
  1122
	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
  1123
		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
  1124
		  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
  1125
		| 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
  1126
	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
  1127
e8ccb13d7774 major code change: refute can now 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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
(* 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
  1130
(*               (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
  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
e8ccb13d7774 major code change: refute can now 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
	(* 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
  1134
e8ccb13d7774 major code change: refute can now 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
	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
  1136
	let
15611
c01f11cd08f9 Bugfix related to the interpretation of IDT constructors
webertj
parents: 15574
diff changeset
  1137
		(* power (a, b) computes a^b, for a>=0, b>=0 *)
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
  1138
		(* int * int -> int *)
15611
c01f11cd08f9 Bugfix related to the interpretation of IDT constructors
webertj
parents: 15574
diff changeset
  1139
		fun power (a, 0) = 1
c01f11cd08f9 Bugfix related to the interpretation of IDT constructors
webertj
parents: 15574
diff changeset
  1140
		  | power (a, 1) = a
c01f11cd08f9 Bugfix related to the interpretation of IDT constructors
webertj
parents: 15574
diff changeset
  1141
		  | power (a, b) = let val ab = power(a, b div 2) in ab * ab * power(a, b mod 2) 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
  1142
	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
  1143
		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
  1144
		  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
  1145
		| 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
  1146
	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
  1147
e8ccb13d7774 major code change: refute can now 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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
(* 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
  1150
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
e8ccb13d7774 major code change: refute can now 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
	(* 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
  1153
e8ccb13d7774 major code change: refute can now 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 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
  1155
e8ccb13d7774 major code change: refute can now 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
	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
  1157
e8ccb13d7774 major code change: refute can now 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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
(* 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
  1160
(*                equality of two interpretations                            *)
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1161
(* - two interpretations are 'equal' iff they are both defined and denote    *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1162
(*   the same value                                                          *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1163
(* - two interpretations are 'not_equal' iff they are both defined at least  *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1164
(*   partially, and a defined part denotes different values                  *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1165
(* - a completely undefined interpretation is neither 'equal' nor            *)
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1166
(*   'not_equal' to another interpretation                                   *)
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
  1167
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
e8ccb13d7774 major code change: refute can now 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
	(* 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
  1170
	(* 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
  1171
	(* 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
  1172
	(* '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
  1173
	(* 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
  1174
	(* 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
  1175
e8ccb13d7774 major code change: refute can now 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
	(* 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
  1177
e8ccb13d7774 major code change: refute can now 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
	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
  1179
	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
  1180
		(* 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
  1181
		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
  1182
			(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
  1183
			  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
  1184
				(case i2 of
15547
f08e2d83681e major code change: refute can now handle recursion and axiomatic type classes; 3-valued logic with two kinds of equality; some bugfixes
webertj
parents: 15531
diff changeset
  1185
				  Leaf ys => PropLogic.dot_product (xs, ys)  (* defined and equal *)
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
  1186
				| 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
  1187
			| 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
  1188
				(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
  1189
				  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
  1190
				| 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
  1191
		(* 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
  1192
		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
  1193
			(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)
weber&#