src/HOL/Tools/refute.ML
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(*  Title:      HOL/Tools/refute.ML
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    ID:         $Id$
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    Author:     Tjark Weber
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    Copyright   2003-2007
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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 ->
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    (interpretation * model * arguments) option) -> theory -> theory
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  val add_printer     : string -> (theory -> model -> Term.term ->
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    interpretation -> (int -> bool) -> Term.term option) -> theory -> theory
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  val interpret : theory -> model -> arguments -> Term.term ->
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    (interpretation * model * arguments)
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  val print       : theory -> model -> Term.term -> interpretation ->
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    (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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  (* tries to find a model for a formula: *)
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  val satisfy_term   : theory -> (string * string) list -> Term.term -> unit
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  (* tries to find a model that refutes a formula: *)
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  val refute_term    : theory -> (string * string) list -> Term.term -> unit
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  val refute_subgoal :
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    theory -> (string * string) list -> Thm.thm -> int -> unit
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  val setup : theory -> theory
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end;  (* signature REFUTE *)
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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",
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            "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",
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            "trees are of different height (first tree is higher)"));
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(* ------------------------------------------------------------------------- *)
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(* params: parameters that control the translation into a propositional      *)
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(*         formula/model generation                                          *)
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(*                                                                           *)
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(* The following parameters are supported (and required (!), except for      *)
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(* "sizes"):                                                                 *)
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(*                                                                           *)
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(* Name          Type    Description                                         *)
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(*                                                                           *)
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(* "sizes"       (string * int) list                                         *)
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(*                       Size of ground types (e.g. 'a=2), or depth of IDTs. *)
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(* "minsize"     int     If >0, minimal size of each ground type/IDT depth.  *)
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(* "maxsize"     int     If >0, maximal size of each ground type/IDT depth.  *)
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(* "maxvars"     int     If >0, use at most 'maxvars' Boolean variables      *)
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(*                       when transforming the term into a propositional     *)
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(*                       formula.                                            *)
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(* "maxtime"     int     If >0, terminate after at most 'maxtime' seconds.   *)
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(* "satsolver"   string  SAT solver to be used.                              *)
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(* ------------------------------------------------------------------------- *)
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  type params =
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    {
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      sizes    : (string * int) list,
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      minsize  : int,
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      maxsize  : int,
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      maxvars  : int,
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      maxtime  : int,
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      satsolver: string
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    };
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(* ------------------------------------------------------------------------- *)
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(* interpretation: a term's interpretation is given by a variable of type    *)
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(*                 'interpretation'                                          *)
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(* ------------------------------------------------------------------------- *)
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  type interpretation =
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    prop_formula list tree;
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(* ------------------------------------------------------------------------- *)
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(* model: a model specifies the size of types and the interpretation of      *)
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(*        terms                                                              *)
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(* ------------------------------------------------------------------------- *)
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  type model =
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    (Term.typ * int) list * (Term.term * interpretation) list;
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(* ------------------------------------------------------------------------- *)
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(* arguments: additional arguments required during interpretation of terms   *)
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(* ------------------------------------------------------------------------- *)
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  type arguments =
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    {
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      (* just passed unchanged from 'params': *)
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      maxvars   : int,
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      (* whether to use 'make_equality' or 'make_def_equality': *)
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      def_eq    : bool,
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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 ->
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        (interpretation * model * arguments) option)) list,
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       printers: (string * (theory -> model -> Term.term -> interpretation ->
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        (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 extend = 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 = AList.merge (op =) (K true) (in1, in2),
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       printers = AList.merge (op =) (K true) (pr1, 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
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          (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 ->
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    (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)
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      (#interpreters (RefuteData.get thy)) of
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      NONE   => raise REFUTE ("interpret",
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        "no interpreter for term " ^ quote (Sign.string_of_term 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) ->
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    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)
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      (#printers (RefuteData.get thy)) of
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      NONE   => raise REFUTE ("print",
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        "no printer for term " ^ quote (Sign.string_of_term 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) =>
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          Sign.string_of_typ 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 thy t ^ ": " ^
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              Sign.string_of_term 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 ->
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    (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 AList.lookup (op =) interpreters name of
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      NONE   => RefuteData.put {interpreters = (name, f) :: interpreters,
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      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 ->
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    (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 AList.lookup (op =) printers name of
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      NONE   => RefuteData.put {interpreters = interpreters,
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      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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    RefuteData.put (case Symtab.lookup parameters name of
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      NONE   =>
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      {interpreters = interpreters, printers = printers,
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        parameters = Symtab.extend (parameters, [(name, value)])}
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    | SOME _ =>
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      {interpreters = interpreters, printers = printers,
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        parameters = Symtab.update (name, value) parameters}) thy
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  end;
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41b32020d0b3 Adding 'refute' to HOL.
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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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  val get_default_param = Symtab.lookup o #parameters o RefuteData.get;
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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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  val get_default_params = Symtab.dest o #parameters o RefuteData.get;
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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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   364
  let
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   365
    (* (string * string) list * string -> int *)
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   366
    fun read_int (parms, name) =
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      case AList.lookup (op =) 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 ^
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          " (value is " ^ quote s ^ ") must be an integer value"))
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      | NONE   => error ("parameter " ^ quote name ^
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   373
          " must be assigned a value")
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    (* (string * string) list * string -> string *)
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   375
    fun read_string (parms, name) =
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   376
      case AList.lookup (op =) parms name of
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   377
        SOME s => s
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      | NONE   => error ("parameter " ^ quote name ^
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   379
        " must be assigned a value")
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   380
    (* 'override' first, defaults last: *)
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    (* (string * string) list *)
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   382
    val allparams = override @ (get_default_params thy)
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   383
    (* int *)
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   384
    val minsize   = read_int (allparams, "minsize")
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   385
    val maxsize   = read_int (allparams, "maxsize")
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   386
    val maxvars   = read_int (allparams, "maxvars")
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   387
    val maxtime   = read_int (allparams, "maxtime")
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   388
    (* string *)
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   389
    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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   391
    (* 'sizes'                                                            *)
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   392
    (* 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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   394
    (* (string * int) list *)
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   395
    val sizes     = List.mapPartial
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   396
      (fn (name, value) => Option.map (pair name) (Int.fromString value))
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   397
      (List.filter (fn (name, _) => name<>"minsize" andalso name<>"maxsize"
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   398
        andalso name<>"maxvars" andalso name<>"maxtime"
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   399
        andalso name<>"satsolver") allparams)
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   400
  in
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   401
    {sizes=sizes, minsize=minsize, maxsize=maxsize, maxvars=maxvars,
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   402
      maxtime=maxtime, satsolver=satsolver}
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   403
  end;
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e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
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parents: 14604
diff changeset
   404
e8ccb13d7774 major code change: refute can now 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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
(* TRANSLATION HOL -> PROPOSITIONAL LOGIC, BOOLEAN ASSIGNMENT -> MODEL       *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   408
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   409
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   410
  (* (''a * 'b) list -> ''a -> 'b *)
22092
ab3dfcef6489 reformatted to 80 chars/line
webertj
parents: 22055
diff changeset
   411
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   412
  fun lookup xs key =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   413
    Option.valOf (AList.lookup (op =) xs key);
22092
ab3dfcef6489 reformatted to 80 chars/line
webertj
parents: 22055
diff changeset
   414
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
   415
(* ------------------------------------------------------------------------- *)
15335
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   416
(* typ_of_dtyp: converts a data type ('DatatypeAux.dtyp') into a type        *)
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   417
(*              ('Term.typ'), given type parameters for the data type's type *)
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   418
(*              arguments                                                    *)
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   419
(* ------------------------------------------------------------------------- *)
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   420
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   421
  (* DatatypeAux.descr -> (DatatypeAux.dtyp * Term.typ) list ->
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   422
    DatatypeAux.dtyp -> Term.typ *)
15335
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   423
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   424
  fun typ_of_dtyp descr typ_assoc (DatatypeAux.DtTFree a) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   425
    (* replace a 'DtTFree' variable by the associated type *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   426
    lookup typ_assoc (DatatypeAux.DtTFree a)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   427
    | typ_of_dtyp descr typ_assoc (DatatypeAux.DtType (s, ds)) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   428
    Type (s, map (typ_of_dtyp descr typ_assoc) ds)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   429
    | typ_of_dtyp descr typ_assoc (DatatypeAux.DtRec i) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   430
    let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   431
      val (s, ds, _) = lookup descr i
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   432
    in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   433
      Type (s, map (typ_of_dtyp descr typ_assoc) ds)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   434
    end;
15335
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   435
f81e6e24351f minor code refactoring (typ_of_dtyp, size_of_dtyp)
webertj
parents: 15334
diff changeset
   436
(* ------------------------------------------------------------------------- *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   437
(* close_form: universal closure over schematic variables in 't'             *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   438
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   439
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   440
  (* Term.term -> Term.term *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   441
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   442
  fun close_form t =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   443
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   444
    (* (Term.indexname * Term.typ) list *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   445
    val vars = sort_wrt (fst o fst) (map dest_Var (term_vars t))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   446
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   447
    Library.foldl (fn (t', ((x, i), T)) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   448
      (Term.all T) $ Abs (x, T, abstract_over (Var ((x, i), T), t')))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   449
      (t, vars)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   450
  end;
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   451
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   452
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   453
(* monomorphic_term: applies a type substitution 'typeSubs' for all type     *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   454
(*                   variables in a term 't'                                 *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   455
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   456
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   457
  (* Type.tyenv -> Term.term -> Term.term *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   458
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   459
  fun monomorphic_term typeSubs t =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   460
    map_types (map_type_tvar
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   461
      (fn v =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   462
        case Type.lookup (typeSubs, v) of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   463
          NONE =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   464
          (* schematic type variable not instantiated *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   465
          raise REFUTE ("monomorphic_term",
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   466
            "no substitution for type variable " ^ fst (fst v) ^
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   467
            " in term " ^ Display.raw_string_of_term t)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   468
        | SOME typ =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   469
          typ)) t;
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   470
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   471
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   472
(* specialize_type: given a constant 's' of type 'T', which is a subterm of  *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   473
(*                  't', where 't' has a (possibly) more general type, the   *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   474
(*                  schematic type variables in 't' are instantiated to      *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   475
(*                  match the type 'T' (may raise Type.TYPE_MATCH)           *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   476
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   477
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   478
  (* theory -> (string * Term.typ) -> Term.term -> Term.term *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   479
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   480
  fun specialize_type thy (s, T) t =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   481
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   482
    fun find_typeSubs (Const (s', T')) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   483
      if s=s' then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   484
        SOME (Sign.typ_match thy (T', T) Vartab.empty)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   485
          handle Type.TYPE_MATCH => NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   486
      else
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   487
        NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   488
      | find_typeSubs (Free _)           = NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   489
      | find_typeSubs (Var _)            = NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   490
      | find_typeSubs (Bound _)          = NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   491
      | find_typeSubs (Abs (_, _, body)) = find_typeSubs body
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   492
      | find_typeSubs (t1 $ t2)          =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   493
      (case find_typeSubs t1 of SOME x => SOME x
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   494
                              | NONE   => find_typeSubs t2)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   495
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   496
    case find_typeSubs t of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   497
      SOME typeSubs =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   498
      monomorphic_term typeSubs t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   499
    | NONE =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   500
      (* no match found - perhaps due to sort constraints *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   501
      raise Type.TYPE_MATCH
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   502
  end;
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   503
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   504
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   505
(* is_const_of_class: returns 'true' iff 'Const (s, T)' is a constant that   *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   506
(*                    denotes membership to an axiomatic type class          *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   507
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   508
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   509
  (* theory -> string * Term.typ -> bool *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   510
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   511
  fun is_const_of_class thy (s, T) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   512
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   513
    val class_const_names = map Logic.const_of_class (Sign.all_classes thy)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   514
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   515
    (* I'm not quite sure if checking the name 's' is sufficient, *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   516
    (* or if we should also check the type 'T'.                   *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   517
    s mem_string class_const_names
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   518
  end;
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   519
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   520
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   521
(* is_IDT_constructor: returns 'true' iff 'Const (s, T)' is the constructor  *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   522
(*                     of an inductive datatype in 'thy'                     *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   523
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   524
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   525
  (* theory -> string * Term.typ -> bool *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   526
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   527
  fun is_IDT_constructor thy (s, T) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   528
    (case body_type T of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   529
      Type (s', _) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   530
      (case DatatypePackage.get_datatype_constrs thy s' of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   531
        SOME constrs =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   532
        List.exists (fn (cname, cty) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   533
          cname = s andalso Sign.typ_instance thy (T, cty)) constrs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   534
      | NONE =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   535
        false)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   536
    | _  =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   537
      false);
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   538
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   539
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   540
(* is_IDT_recursor: returns 'true' iff 'Const (s, T)' is the recursion       *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   541
(*                  operator of an inductive datatype in 'thy'               *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   542
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   543
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   544
  (* theory -> string * Term.typ -> bool *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   545
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   546
  fun is_IDT_recursor thy (s, T) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   547
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   548
    val rec_names = Symtab.fold (append o #rec_names o snd)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   549
      (DatatypePackage.get_datatypes thy) []
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   550
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   551
    (* I'm not quite sure if checking the name 's' is sufficient, *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   552
    (* or if we should also check the type 'T'.                   *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   553
    s mem_string rec_names
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   554
  end;
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   555
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   556
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   557
(* get_def: looks up the definition of a constant, as created by "constdefs" *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   558
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   559
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   560
  (* theory -> string * Term.typ -> (string * Term.term) option *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   561
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   562
  fun get_def thy (s, T) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   563
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   564
    (* maps  f ?t1 ... ?tn == rhs  to  %t1...tn. rhs *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   565
    fun norm_rhs eqn =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   566
    let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   567
      fun lambda (v as Var ((x, _), T)) t = Abs (x, T, abstract_over (v, t))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   568
        | lambda v t                      = raise TERM ("lambda", [v, t])
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   569
      val (lhs, rhs) = Logic.dest_equals eqn
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   570
      val (_, args)  = Term.strip_comb lhs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   571
    in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   572
      fold lambda (rev args) rhs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   573
    end
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   574
    (* (string * Term.term) list -> (string * Term.term) option *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   575
    fun get_def_ax [] = NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   576
      | get_def_ax ((axname, ax) :: axioms) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   577
      (let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   578
        val (lhs, _) = Logic.dest_equals ax  (* equations only *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   579
        val c        = Term.head_of lhs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   580
        val (s', T') = Term.dest_Const c
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   581
      in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   582
        if s=s' then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   583
          let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   584
            val typeSubs = Sign.typ_match thy (T', T) Vartab.empty
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   585
            val ax'      = monomorphic_term typeSubs ax
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   586
            val rhs      = norm_rhs ax'
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   587
          in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   588
            SOME (axname, rhs)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   589
          end
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   590
        else
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   591
          get_def_ax axioms
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   592
      end handle ERROR _         => get_def_ax axioms
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   593
               | TERM _          => get_def_ax axioms
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   594
               | Type.TYPE_MATCH => get_def_ax axioms)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   595
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   596
    get_def_ax (Theory.all_axioms_of thy)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   597
  end;
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   598
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   599
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   600
(* get_typedef: looks up the definition of a type, as created by "typedef"   *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   601
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   602
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   603
  (* theory -> (string * Term.typ) -> (string * Term.term) option *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   604
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   605
  fun get_typedef thy T =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   606
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   607
    (* (string * Term.term) list -> (string * Term.term) option *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   608
    fun get_typedef_ax [] = NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   609
      | get_typedef_ax ((axname, ax) :: axioms) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   610
      (let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   611
        (* Term.term -> Term.typ option *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   612
        fun type_of_type_definition (Const (s', T')) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   613
          if s'="Typedef.type_definition" then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   614
            SOME T'
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   615
          else
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   616
            NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   617
          | type_of_type_definition (Free _)           = NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   618
          | type_of_type_definition (Var _)            = NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   619
          | type_of_type_definition (Bound _)          = NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   620
          | type_of_type_definition (Abs (_, _, body)) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   621
          type_of_type_definition body
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   622
          | type_of_type_definition (t1 $ t2)          =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   623
          (case type_of_type_definition t1 of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   624
            SOME x => SOME x
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   625
          | NONE   => type_of_type_definition t2)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   626
      in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   627
        case type_of_type_definition ax of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   628
          SOME T' =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   629
          let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   630
            val T''      = (domain_type o domain_type) T'
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   631
            val typeSubs = Sign.typ_match thy (T'', T) Vartab.empty
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   632
          in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   633
            SOME (axname, monomorphic_term typeSubs ax)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   634
          end
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   635
        | NONE =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   636
          get_typedef_ax axioms
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   637
      end handle ERROR _         => get_typedef_ax axioms
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   638
               | MATCH           => get_typedef_ax axioms
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   639
               | Type.TYPE_MATCH => get_typedef_ax axioms)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   640
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   641
    get_typedef_ax (Theory.all_axioms_of thy)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   642
  end;
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   643
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   644
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   645
(* get_classdef: looks up the defining axiom for an axiomatic type class, as *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   646
(*               created by the "axclass" command                            *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   647
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   648
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   649
  (* theory -> string -> (string * Term.term) option *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   650
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   651
  fun get_classdef thy class =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   652
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   653
    val axname = class ^ "_class_def"
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   654
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   655
    Option.map (pair axname)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   656
      (AList.lookup (op =) (Theory.all_axioms_of thy) axname)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   657
  end;
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   658
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   659
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   660
(* unfold_defs: unfolds all defined constants in a term 't', beta-eta        *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   661
(*              normalizes the result term; certain constants are not        *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   662
(*              unfolded (cf. 'collect_axioms' and the various interpreters  *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   663
(*              below): if the interpretation respects a definition anyway,  *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   664
(*              that definition does not need to be unfolded                 *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   665
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   666
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   667
  (* theory -> Term.term -> Term.term *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   668
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   669
  (* Note: we could intertwine unfolding of constants and beta-(eta-)       *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   670
  (*       normalization; this would save some unfolding for terms where    *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   671
  (*       constants are eliminated by beta-reduction (e.g. 'K c1 c2').  On *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   672
  (*       the other hand, this would cause additional work for terms where *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   673
  (*       constants are duplicated by beta-reduction (e.g. 'S c1 c2 c3').  *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   674
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   675
  fun unfold_defs thy t =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   676
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   677
    (* Term.term -> Term.term *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   678
    fun unfold_loop t =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   679
      case t of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   680
      (* Pure *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   681
        Const ("all", _)                => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   682
      | Const ("==", _)                 => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   683
      | Const ("==>", _)                => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   684
      | Const ("TYPE", _)               => t  (* axiomatic type classes *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   685
      (* HOL *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   686
      | Const ("Trueprop", _)           => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   687
      | Const ("Not", _)                => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   688
      | (* redundant, since 'True' is also an IDT constructor *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   689
        Const ("True", _)               => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   690
      | (* redundant, since 'False' is also an IDT constructor *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   691
        Const ("False", _)              => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   692
      | Const ("arbitrary", _)          => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   693
      | Const ("The", _)                => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   694
      | Const ("Hilbert_Choice.Eps", _) => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   695
      | Const ("All", _)                => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   696
      | Const ("Ex", _)                 => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   697
      | Const ("op =", _)               => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   698
      | Const ("op &", _)               => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   699
      | Const ("op |", _)               => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   700
      | Const ("op -->", _)             => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   701
      (* sets *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   702
      | Const ("Collect", _)            => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   703
      | Const ("op :", _)               => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   704
      (* other optimizations *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   705
      | Const ("Finite_Set.card", _)    => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   706
      | Const ("Finite_Set.Finites", _) => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   707
      | Const ("Finite_Set.finite", _)  => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   708
      | Const ("Orderings.less", Type ("fun", [Type ("nat", []),
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   709
        Type ("fun", [Type ("nat", []), Type ("bool", [])])])) => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   710
      | Const ("HOL.plus", Type ("fun", [Type ("nat", []),
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   711
        Type ("fun", [Type ("nat", []), Type ("nat", [])])])) => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   712
      | Const ("HOL.minus", Type ("fun", [Type ("nat", []),
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   713
        Type ("fun", [Type ("nat", []), Type ("nat", [])])])) => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   714
      | Const ("HOL.times", Type ("fun", [Type ("nat", []),
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   715
        Type ("fun", [Type ("nat", []), Type ("nat", [])])])) => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   716
      | Const ("List.op @", _)          => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   717
      | Const ("Lfp.lfp", _)            => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   718
      | Const ("Gfp.gfp", _)            => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   719
      | Const ("fst", _)                => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   720
      | Const ("snd", _)                => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   721
      (* simply-typed lambda calculus *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   722
      | Const (s, T) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   723
        (if is_IDT_constructor thy (s, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   724
          orelse is_IDT_recursor thy (s, T) then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   725
          t  (* do not unfold IDT constructors/recursors *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   726
        (* unfold the constant if there is a defining equation *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   727
        else case get_def thy (s, T) of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   728
          SOME (axname, rhs) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   729
          (* Note: if the term to be unfolded (i.e. 'Const (s, T)')  *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   730
          (* occurs on the right-hand side of the equation, i.e. in  *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   731
          (* 'rhs', we must not use this equation to unfold, because *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   732
          (* that would loop.  Here would be the right place to      *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   733
          (* check this.  However, getting this really right seems   *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   734
          (* difficult because the user may state arbitrary axioms,  *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   735
          (* which could interact with overloading to create loops.  *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   736
          ((*immediate_output (" unfolding: " ^ axname);*)unfold_loop rhs)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   737
        | NONE => t)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   738
      | Free _           => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   739
      | Var _            => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   740
      | Bound _          => t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   741
      | Abs (s, T, body) => Abs (s, T, unfold_loop body)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   742
      | t1 $ t2          => (unfold_loop t1) $ (unfold_loop t2)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   743
    val result = Envir.beta_eta_contract (unfold_loop t)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   744
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   745
    result
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   746
  end;
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   747
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   748
(* ------------------------------------------------------------------------- *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   749
(* collect_axioms: collects (monomorphic, universally quantified, unfolded   *)
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   750
(*                 versions of) all HOL axioms that are relevant w.r.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
   751
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
   752
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   753
  (* Note: to make the collection of axioms more easily extensible, this    *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   754
  (*       function could be based on user-supplied "axiom collectors",     *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   755
  (*       similar to 'interpret'/interpreters or 'print'/printers          *)
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
   756
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   757
  (* Note: currently we use "inverse" functions to the definitional         *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   758
  (*       mechanisms provided by Isabelle/HOL, e.g. for "axclass",         *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   759
  (*       "typedef", "constdefs".  A more general approach could consider  *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   760
  (*       *every* axiom of the theory and collect it if it has a constant/ *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   761
  (*       type/typeclass in common with the term 't'.                      *)
21985
acfb13e8819e constants are unfolded, universal quantifiers are stripped, some minor changes
webertj
parents: 21931
diff changeset
   762
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   763
  (* theory -> Term.term -> Term.term list *)
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
   764
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   765
  (* Which axioms are "relevant" for a particular term/type goes hand in    *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   766
  (* hand with the interpretation of that term/type by its interpreter (see *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   767
  (* way below): if the interpretation respects an axiom anyway, the axiom  *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   768
  (* does not need to be added as a constraint here.                        *)
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
   769
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   770
  (* To avoid collecting the same axiom multiple times, we use an           *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   771
  (* accumulator 'axs' which contains all axioms collected so far.          *)
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
   772
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   773
  fun collect_axioms thy t =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   774
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   775
    val _ = immediate_output "Adding axioms..."
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   776
    (* (string * Term.term) list *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   777
    val axioms = Theory.all_axioms_of thy
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   778
    (* string * Term.term -> Term.term list -> Term.term list *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   779
    fun collect_this_axiom (axname, ax) axs =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   780
    let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   781
      val ax' = unfold_defs thy ax
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   782
    in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   783
      if member (op aconv) axs ax' then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   784
        axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   785
      else (
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   786
        immediate_output (" " ^ axname);
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   787
        collect_term_axioms (ax' :: axs, ax')
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   788
      )
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   789
    end
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   790
    (* Term.term list * Term.typ -> Term.term list *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   791
    and collect_sort_axioms (axs, T) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   792
    let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   793
      (* string list *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   794
      val sort = (case T of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   795
          TFree (_, sort) => sort
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   796
        | TVar (_, sort)  => sort
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   797
        | _               => raise REFUTE ("collect_axioms", "type " ^
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   798
          Sign.string_of_typ thy T ^ " is not a variable"))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   799
      (* obtain axioms for all superclasses *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   800
      val superclasses = sort @ (maps (Sign.super_classes thy) sort)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   801
      (* merely an optimization, because 'collect_this_axiom' disallows *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   802
      (* duplicate axioms anyway:                                       *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   803
      val superclasses = distinct (op =) superclasses
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   804
      val class_axioms = maps (fn class => map (fn ax =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   805
        ("<" ^ class ^ ">", Thm.prop_of ax))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   806
        (#axioms (AxClass.get_definition thy class) handle ERROR _ => []))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   807
        superclasses
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   808
      (* replace the (at most one) schematic type variable in each axiom *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   809
      (* by the actual type 'T'                                          *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   810
      val monomorphic_class_axioms = map (fn (axname, ax) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   811
        (case Term.term_tvars ax of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   812
          [] =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   813
          (axname, ax)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   814
        | [(idx, S)] =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   815
          (axname, monomorphic_term (Vartab.make [(idx, (S, T))]) ax)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   816
        | _ =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   817
          raise REFUTE ("collect_axioms", "class axiom " ^ axname ^ " (" ^
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   818
            Sign.string_of_term thy ax ^
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   819
            ") contains more than one type variable")))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   820
        class_axioms
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   821
    in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   822
      fold collect_this_axiom monomorphic_class_axioms axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   823
    end
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   824
    (* Term.term list * Term.typ -> Term.term list *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   825
    and collect_type_axioms (axs, T) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   826
      case T of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   827
      (* simple types *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   828
        Type ("prop", [])      => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   829
      | Type ("fun", [T1, T2]) => collect_type_axioms
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   830
        (collect_type_axioms (axs, T1), T2)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   831
      | Type ("set", [T1])     => collect_type_axioms (axs, T1)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   832
      (* axiomatic type classes *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   833
      | Type ("itself", [T1])  => collect_type_axioms (axs, T1)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   834
      | Type (s, Ts)           =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   835
        (case DatatypePackage.get_datatype thy s of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   836
          SOME info =>  (* inductive datatype *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   837
            (* only collect relevant type axioms for the argument types *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   838
            Library.foldl collect_type_axioms (axs, Ts)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   839
        | NONE =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   840
          (case get_typedef thy T of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   841
            SOME (axname, ax) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   842
            collect_this_axiom (axname, ax) axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   843
          | NONE =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   844
            (* unspecified type, perhaps introduced with "typedecl" *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   845
            (* at least collect relevant type axioms for the argument types *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   846
            Library.foldl collect_type_axioms (axs, Ts)))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   847
      (* axiomatic type classes *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   848
      | TFree _                => collect_sort_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   849
      (* axiomatic type classes *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   850
      | TVar _                 => collect_sort_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   851
    (* Term.term list * Term.term -> Term.term list *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   852
    and collect_term_axioms (axs, t) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   853
      case t of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   854
      (* Pure *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   855
        Const ("all", _)                => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   856
      | Const ("==", _)                 => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   857
      | Const ("==>", _)                => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   858
      (* axiomatic type classes *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   859
      | Const ("TYPE", T)               => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   860
      (* HOL *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   861
      | Const ("Trueprop", _)           => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   862
      | Const ("Not", _)                => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   863
      (* redundant, since 'True' is also an IDT constructor *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   864
      | Const ("True", _)               => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   865
      (* redundant, since 'False' is also an IDT constructor *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   866
      | Const ("False", _)              => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   867
      | Const ("arbitrary", T)          => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   868
      | Const ("The", T)                =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   869
        let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   870
          val ax = specialize_type thy ("The", T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   871
            (lookup axioms "HOL.the_eq_trivial")
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   872
        in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   873
          collect_this_axiom ("HOL.the_eq_trivial", ax) axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   874
        end
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   875
      | Const ("Hilbert_Choice.Eps", T) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   876
        let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   877
          val ax = specialize_type thy ("Hilbert_Choice.Eps", T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   878
            (lookup axioms "Hilbert_Choice.someI")
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   879
        in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   880
          collect_this_axiom ("Hilbert_Choice.someI", ax) axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   881
        end
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   882
      | Const ("All", T)                => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   883
      | Const ("Ex", T)                 => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   884
      | Const ("op =", T)               => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   885
      | Const ("op &", _)               => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   886
      | Const ("op |", _)               => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   887
      | Const ("op -->", _)             => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   888
      (* sets *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   889
      | Const ("Collect", T)            => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   890
      | Const ("op :", T)               => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   891
      (* other optimizations *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   892
      | Const ("Finite_Set.card", T)    => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   893
      | Const ("Finite_Set.Finites", T) => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   894
      | Const ("Finite_Set.finite", T)  => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   895
      | Const ("Orderings.less", T as Type ("fun", [Type ("nat", []),
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   896
        Type ("fun", [Type ("nat", []), Type ("bool", [])])])) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   897
          collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   898
      | Const ("HOL.plus", T as Type ("fun", [Type ("nat", []),
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   899
        Type ("fun", [Type ("nat", []), Type ("nat", [])])])) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   900
          collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   901
      | Const ("HOL.minus", T as Type ("fun", [Type ("nat", []),
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   902
        Type ("fun", [Type ("nat", []), Type ("nat", [])])])) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   903
          collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   904
      | Const ("HOL.times", T as Type ("fun", [Type ("nat", []),
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   905
        Type ("fun", [Type ("nat", []), Type ("nat", [])])])) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   906
          collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   907
      | Const ("List.op @", T)          => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   908
      | Const ("Lfp.lfp", T)            => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   909
      | Const ("Gfp.gfp", T)            => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   910
      | Const ("fst", T)                => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   911
      | Const ("snd", T)                => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   912
      (* simply-typed lambda calculus *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   913
      | Const (s, T)                    =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   914
          if is_const_of_class thy (s, T) then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   915
            (* axiomatic type classes: add "OFCLASS(?'a::c, c_class)" *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   916
            (* and the class definition                               *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   917
            let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   918
              val class   = Logic.class_of_const s
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   919
              val inclass = Logic.mk_inclass (TVar (("'a", 0), [class]), class)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   920
              val ax_in   = SOME (specialize_type thy (s, T) inclass)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   921
                (* type match may fail due to sort constraints *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   922
                handle Type.TYPE_MATCH => NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   923
              val ax_1 = Option.map (fn ax => (Sign.string_of_term thy ax, ax))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   924
                ax_in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   925
              val ax_2 = Option.map (apsnd (specialize_type thy (s, T)))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   926
                (get_classdef thy class)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   927
            in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   928
              collect_type_axioms (fold collect_this_axiom
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   929
                (map_filter I [ax_1, ax_2]) axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   930
            end
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   931
          else if is_IDT_constructor thy (s, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   932
            orelse is_IDT_recursor thy (s, T) then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   933
            (* only collect relevant type axioms *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   934
            collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   935
          else
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   936
            (* other constants should have been unfolded, with some *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   937
            (* exceptions: e.g. Abs_xxx/Rep_xxx functions for       *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   938
            (* typedefs, or type-class related constants            *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   939
            (* only collect relevant type axioms *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   940
            collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   941
      | Free (_, T)      => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   942
      | Var (_, T)       => collect_type_axioms (axs, T)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   943
      | Bound i          => axs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   944
      | Abs (_, T, body) => collect_term_axioms
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   945
        (collect_type_axioms (axs, T), body)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   946
      | t1 $ t2          => collect_term_axioms
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   947
        (collect_term_axioms (axs, t1), t2)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   948
    (* Term.term list *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   949
    val result = map close_form (collect_term_axioms ([], t))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   950
    val _ = writeln " ...done."
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   951
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   952
    result
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   953
  end;
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   954
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
   955
(* ------------------------------------------------------------------------- *)
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
   956
(* 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
   957
(*               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
   958
(*               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
   959
(*               '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
   960
(*               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
   961
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   963
  (* theory -> Term.term -> Term.typ list *)
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
   964
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   965
  fun ground_types thy t =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   966
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   967
    (* Term.typ * Term.typ list -> Term.typ list *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   968
    fun collect_types (T, acc) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   969
      if T mem acc then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   970
        acc  (* prevent infinite recursion (for IDTs) *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   971
      else
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   972
        (case T of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   973
          Type ("fun", [T1, T2]) => collect_types (T1, collect_types (T2, acc))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   974
        | Type ("prop", [])      => acc
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   975
        | Type ("set", [T1])     => collect_types (T1, acc)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   976
        | Type (s, Ts)           =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   977
          (case DatatypePackage.get_datatype thy s of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   978
            SOME info =>  (* inductive datatype *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   979
            let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   980
              val index               = #index info
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   981
              val descr               = #descr info
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   982
              val (_, dtyps, constrs) = lookup descr index
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   983
              val typ_assoc           = dtyps ~~ Ts
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   984
              (* sanity check: every element in 'dtyps' must be a 'DtTFree' *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   985
              val _ = (if Library.exists (fn d =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   986
                  case d of DatatypeAux.DtTFree _ => false | _ => true) dtyps
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   987
                then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   988
                  raise REFUTE ("ground_types", "datatype argument (for type "
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   989
                    ^ Sign.string_of_typ thy (Type (s, Ts))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   990
                    ^ ") is not a variable")
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   991
                else
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   992
                  ())
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   993
              (* if the current type is a recursive IDT (i.e. a depth is *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   994
              (* required), add it to 'acc'                              *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   995
              val acc' = (if Library.exists (fn (_, ds) => Library.exists
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   996
                DatatypeAux.is_rec_type ds) constrs then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   997
                  insert (op =) T acc
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   998
                else
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
   999
                  acc)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1000
              (* collect argument types *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1001
              val acc_args = foldr collect_types acc' Ts
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1002
              (* collect constructor types *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1003
              val acc_constrs = foldr collect_types acc_args (List.concat
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1004
                (map (fn (_, ds) => map (typ_of_dtyp descr typ_assoc) ds)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1005
                  constrs))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1006
            in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1007
              acc_constrs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1008
            end
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1009
          | NONE =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1010
            (* not an inductive datatype, e.g. defined via "typedef" or *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1011
            (* "typedecl"                                               *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1012
            insert (op =) T (foldr collect_types acc Ts))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1013
        | TFree _                => insert (op =) T acc
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1014
        | TVar _                 => insert (op =) T acc)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1015
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1016
    it_term_types collect_types (t, [])
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1017
  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
  1018
e8ccb13d7774 major code change: refute can now 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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
(* 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
  1021
(*                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
  1022
(*                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
  1023
(*                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
  1024
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1025
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1026
  (* Term.typ -> string *)
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
  1027
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1028
  fun string_of_typ (Type (s, _))     = s
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1029
    | string_of_typ (TFree (s, _))    = s
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1030
    | string_of_typ (TVar ((s,_), _)) = s;
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
  1031
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1032
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1033
(* 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
  1034
(*                 '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
  1035
(*                 '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
  1036
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1037
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1038
  (* Term.typ list -> (string * int) list -> int -> (Term.typ * int) list *)
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
  1039
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1040
  fun first_universe xs sizes minsize =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1041
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1042
    fun size_of_typ T =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1043
      case AList.lookup (op =) sizes (string_of_typ T) of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1044
        SOME n => n
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1045
      | NONE   => minsize
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1046
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1047
    map (fn T => (T, size_of_typ T)) xs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1048
  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
  1049
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1050
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1051
(* 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
  1052
(*                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
  1053
(*                '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
  1054
(*                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
  1055
(* ------------------------------------------------------------------------- *)
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1056
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1057
  (* (Term.typ * int) list -> (string * int) list -> int -> int ->
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1058
    (Term.typ * int) list option *)
14456
cca28ec5f9a6 support for non-recursive IDTs, The, arbitrary, Hilbert_Choice.Eps
webertj
parents: 14351
diff changeset
  1059
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1060
  fun next_universe xs sizes minsize maxsize =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1061
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1062
    (* creates the "first" list of length 'len', where the sum of all list *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1063
    (* elements is 'sum', and the length of the list is 'len'              *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1064
    (* int -> int -> int -> int list option *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1065
    fun make_first _ 0 sum =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1066
      if sum=0 then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1067
        SOME []
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1068
      else
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1069
        NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1070
      | make_first max len sum =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1071
      if sum<=max orelse max<0 then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1072
        Option.map (fn xs' => sum :: xs') (make_first max (len-1) 0)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1073
      else
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1074
        Option.map (fn xs' => max :: xs') (make_first max (len-1) (sum-max))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1075
    (* enumerates all int lists with a fixed length, where 0<=x<='max' for *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1076
    (* all list elements x (unless 'max'<0)                                *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1077
    (* int -> int -> int -> int list -> int list option *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1078
    fun next max len sum [] =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1079
      NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1080
      | next max len sum [x] =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1081
      (* we've reached the last list element, so there's no shift possible *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1082
      make_first max (len+1) (sum+x+1)  (* increment 'sum' by 1 *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1083
      | next max len sum (x1::x2::xs) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1084
      if x1>0 andalso (x2<max orelse max<0) then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1085
        (* we can shift *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1086
        SOME (valOf (make_first max (len+1) (sum+x1-1)) @ (x2+1) :: xs)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1087
      else
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1088
        (* continue search *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1089
        next max (len+1) (sum+x1) (x2::xs)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1090
    (* only consider those types for which the size is not fixed *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1091
    val mutables = List.filter
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1092
      (not o (AList.defined (op =) sizes) o string_of_typ o fst) xs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1093
    (* subtract 'minsize' from every size (will be added again at the end) *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1094
    val diffs = map (fn (_, n) => n-minsize) mutables
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1095
  in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1096
    case next (maxsize-minsize) 0 0 diffs of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1097
      SOME diffs' =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1098
      (* merge with those types for which the size is fixed *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1099
      SOME (snd (foldl_map (fn (ds, (T, _)) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1100
        case AList.lookup (op =) sizes (string_of_typ T) of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1101
        (* return the fixed size *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1102
          SOME n => (ds, (T, n))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1103
        (* consume the head of 'ds', add 'minsize' *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1104
        | NONE   => (tl ds, (T, minsize + hd ds)))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1105
        (diffs', xs)))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1106
    | NONE =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1107
      NONE
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1108
  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
  1109
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1110
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1111
(* 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
  1112
(*         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
  1113
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now handle any Isabelle term, adds certain axioms automatically, and can handle inductive datatypes (but not yet recursion over them)
webertj
parents: 14604
diff changeset
  1114
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1115
  (* interpretation -> prop_formula *)
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
  1116
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1117
  fun toTrue (Leaf [fm, _]) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1118
    fm
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1119
    | toTrue _              =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1120
    raise REFUTE ("toTrue", "interpretation does not denote a Boolean value");
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
  1121
e8ccb13d7774 major code change: refute can now 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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
(* 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
  1124
(*          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
  1125
(*          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
  1126
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1128
  (* interpretation -> prop_formula *)
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
  1129
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1130
  fun toFalse (Leaf [_, fm]) =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1131
    fm
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1132
    | toFalse _              =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1133
    raise REFUTE ("toFalse", "interpretation does not denote a Boolean value");
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
  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
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
(* 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
  1137
(*             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
  1138
(*             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
  1139
(* 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
  1140
(* {...}     : 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
  1141
(* 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
  1142
(* 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
  1143
(* ------------------------------------------------------------------------- *)
e8ccb13d7774 major code change: refute can now 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
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1145
  (* theory -> params -> Term.term -> bool -> unit *)
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
  1146
22567
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1147
  fun find_model thy {sizes, minsize, maxsize, maxvars, maxtime, satsolver} t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1148
    negate =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1149
  let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1150
    (* unit -> unit *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1151
    fun wrapper () =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1152
    let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1153
      val u      = unfold_defs thy t
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1154
      val _      = writeln ("Unfolded term: " ^ Sign.string_of_term thy u)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1155
      val axioms = collect_axioms thy u
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1156
      (* Term.typ list *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1157
      val types = Library.foldl (fn (acc, t') =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1158
        acc union (ground_types thy t')) ([], u :: axioms)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1159
      val _     = writeln ("Ground types: "
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1160
        ^ (if null types then "none."
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1161
           else commas (map (Sign.string_of_typ thy) types)))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1162
      (* we can only consider fragments of recursive IDTs, so we issue a  *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1163
      (* warning if the formula contains a recursive IDT                  *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1164
      (* TODO: no warning needed for /positive/ occurrences of IDTs       *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1165
      val _ = if Library.exists (fn
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1166
          Type (s, _) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1167
          (case DatatypePackage.get_datatype thy s of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1168
            SOME info =>  (* inductive datatype *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1169
            let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1170
              val index           = #index info
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1171
              val descr           = #descr info
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1172
              val (_, _, constrs) = lookup descr index
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1173
            in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1174
              (* recursive datatype? *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1175
              Library.exists (fn (_, ds) =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1176
                Library.exists DatatypeAux.is_rec_type ds) constrs
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1177
            end
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1178
          | NONE => false)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1179
        | _ => false) types then
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1180
          warning ("Term contains a recursive datatype; "
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1181
            ^ "countermodel(s) may be spurious!")
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1182
        else
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1183
          ()
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1184
      (* (Term.typ * int) list -> unit *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1185
      fun find_model_loop universe =
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1186
      let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1187
        val init_model = (universe, [])
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1188
        val init_args  = {maxvars = maxvars, def_eq = false, next_idx = 1,
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1189
          bounds = [], wellformed = True}
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1190
        val _          = immediate_output ("Translating term (sizes: "
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1191
          ^ commas (map (fn (_, n) => string_of_int n) universe) ^ ") ...")
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1192
        (* translate 'u' and all axioms *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1193
        val ((model, args), intrs) = foldl_map (fn ((m, a), t') =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1194
          let
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1195
            val (i, m', a') = interpret thy m a t'
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1196
          in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1197
            (* set 'def_eq' to 'true' *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1198
            ((m', {maxvars = #maxvars a', def_eq = true,
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1199
              next_idx = #next_idx a', bounds = #bounds a',
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1200
              wellformed = #wellformed a'}), i)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1201
          end) ((init_model, init_args), u :: axioms)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1202
        (* make 'u' either true or false, and make all axioms true, and *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1203
        (* add the well-formedness side condition                       *)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1204
        val fm_u  = (if negate then toFalse else toTrue) (hd intrs)
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1205
        val fm_ax = PropLogic.all (map toTrue (tl intrs))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1206
        val fm    = PropLogic.all [#wellformed args, fm_ax, fm_u]
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1207
      in
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1208
        immediate_output " invoking SAT solver...";
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1209
        (case SatSolver.invoke_solver satsolver fm of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1210
          SatSolver.SATISFIABLE assignment =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1211
          (writeln " model found!";
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1212
          writeln ("*** Model found: ***\n" ^ print_model thy model
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1213
            (fn i => case assignment i of SOME b => b | NONE => true)))
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1214
        | SatSolver.UNSATISFIABLE _ =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1215
          (immediate_output " no model exists.\n";
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1216
          case next_universe universe sizes minsize maxsize of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1217
            SOME universe' => find_model_loop universe'
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1218
          | NONE           => writeln
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1219
            "Search terminated, no larger universe within the given limits.")
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1220
        | SatSolver.UNKNOWN =>
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1221
          (immediate_output " no model found.\n";
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1222
          case next_universe universe sizes minsize maxsize of
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff changeset
  1223
            SOME universe' => find_model_loop universe'
1565d476a9e2 removed assert/deny (avoid clash with Alice keywords and confusion due to strict evaluation);
wenzelm
parents: 22093
diff