src/Pure/theory.ML
author wenzelm
Fri Dec 14 11:52:54 2001 +0100 (2001-12-14)
changeset 12498 3b0091bf06e8
parent 12311 ce5f9e61c037
child 12588 0361fd72f1a7
permissions -rw-r--r--
changed Thm.varifyT';
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(*  Title:      Pure/theory.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson and Markus Wenzel
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    Copyright   1996  University of Cambridge
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The abstract type "theory" of theories.
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*)
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signature BASIC_THEORY =
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sig
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  type theory
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  exception THEORY of string * theory list
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  val rep_theory: theory ->
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    {sign: Sign.sg,
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      const_deps: unit Graph.T,
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      axioms: term Symtab.table,
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      oracles: ((Sign.sg * Object.T -> term) * stamp) Symtab.table,
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      parents: theory list,
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      ancestors: theory list}
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  val sign_of: theory -> Sign.sg
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  val is_draft: theory -> bool
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  val syn_of: theory -> Syntax.syntax
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  val parents_of: theory -> theory list
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  val ancestors_of: theory -> theory list
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  val subthy: theory * theory -> bool
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  val eq_thy: theory * theory -> bool
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  val cert_axm: Sign.sg -> string * term -> string * term
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  val read_def_axm: Sign.sg * (indexname -> typ option) * (indexname -> sort option) ->
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    string list -> string * string -> string * term
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  val read_axm: Sign.sg -> string * string -> string * term
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  val inferT_axm: Sign.sg -> string * term -> string * term
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end
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signature THEORY =
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sig
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  include BASIC_THEORY
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  val axiomK: string
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  val oracleK: string
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  (*theory extension primitives*)
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  val add_classes: (bclass * xclass list) list -> theory -> theory
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  val add_classes_i: (bclass * class list) list -> theory -> theory
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  val add_classrel: (xclass * xclass) list -> theory -> theory
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  val add_classrel_i: (class * class) list -> theory -> theory
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  val add_defsort: string -> theory -> theory
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  val add_defsort_i: sort -> theory -> theory
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  val add_types: (bstring * int * mixfix) list -> theory -> theory
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  val add_nonterminals: bstring list -> theory -> theory
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  val add_tyabbrs: (bstring * string list * string * mixfix) list
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    -> theory -> theory
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  val add_tyabbrs_i: (bstring * string list * typ * mixfix) list
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    -> theory -> theory
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  val add_arities: (xstring * string list * string) list -> theory -> theory
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  val add_arities_i: (string * sort list * sort) list -> theory -> theory
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  val add_consts: (bstring * string * mixfix) list -> theory -> theory
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  val add_consts_i: (bstring * typ * mixfix) list -> theory -> theory
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  val add_syntax: (bstring * string * mixfix) list -> theory -> theory
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  val add_syntax_i: (bstring * typ * mixfix) list -> theory -> theory
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  val add_modesyntax: string * bool -> (bstring * string * mixfix) list -> theory -> theory
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  val add_modesyntax_i: string * bool -> (bstring * typ * mixfix) list -> theory -> theory
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  val add_trfuns:
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    (string * (Syntax.ast list -> Syntax.ast)) list *
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    (string * (term list -> term)) list *
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    (string * (term list -> term)) list *
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    (string * (Syntax.ast list -> Syntax.ast)) list -> theory -> theory
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  val add_trfunsT:
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    (string * (bool -> typ -> term list -> term)) list -> theory -> theory
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  val add_tokentrfuns:
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    (string * string * (string -> string * real)) list -> theory -> theory
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  val add_mode_tokentrfuns: string -> (string * (string -> string * real)) list
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    -> theory -> theory
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  val add_trrules: (xstring * string) Syntax.trrule list -> theory -> theory
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  val add_trrules_i: Syntax.ast Syntax.trrule list -> theory -> theory
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  val add_axioms: (bstring * string) list -> theory -> theory
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  val add_axioms_i: (bstring * term) list -> theory -> theory
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  val add_oracle: bstring * (Sign.sg * Object.T -> term) -> theory -> theory
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  val add_defs: bool -> (bstring * string) list -> theory -> theory
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  val add_defs_i: bool -> (bstring * term) list -> theory -> theory
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  val add_path: string -> theory -> theory
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  val parent_path: theory -> theory
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  val root_path: theory -> theory
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  val absolute_path: theory -> theory
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  val hide_space: string * xstring list -> theory -> theory
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  val hide_space_i: string * string list -> theory -> theory
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  val hide_classes: string list -> theory -> theory
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  val hide_types: string list -> theory -> theory
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  val hide_consts: string list -> theory -> theory
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  val add_name: string -> theory -> theory
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  val copy: theory -> theory
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  val prep_ext: theory -> theory
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  val prep_ext_merge: theory list -> theory
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  val requires: theory -> string -> string -> unit
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  val assert_super: theory -> theory -> theory
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  val pre_pure: theory
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end;
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signature PRIVATE_THEORY =
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sig
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  include THEORY
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  val init_data: Object.kind -> (Object.T * (Object.T -> Object.T) * (Object.T -> Object.T) *
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    (Object.T * Object.T -> Object.T) * (Sign.sg -> Object.T -> unit)) -> theory -> theory
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  val print_data: Object.kind -> theory -> unit
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  val get_data: Object.kind -> (Object.T -> 'a) -> theory -> 'a
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  val put_data: Object.kind -> ('a -> Object.T) -> 'a -> theory -> theory
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end;
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structure Theory: PRIVATE_THEORY =
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struct
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(** datatype theory **)
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(*Note: dependencies are only tracked for non-overloaded constant definitions*)
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datatype theory =
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  Theory of {
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    sign: Sign.sg,
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    const_deps: unit Graph.T,
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    axioms: term Symtab.table,
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    oracles: ((Sign.sg * Object.T -> term) * stamp) Symtab.table,
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    parents: theory list,
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    ancestors: theory list};
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fun make_theory sign const_deps axioms oracles parents ancestors =
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  Theory {sign = sign, const_deps = const_deps, axioms = axioms, oracles = oracles,
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    parents = parents, ancestors = ancestors};
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fun rep_theory (Theory args) = args;
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val sign_of = #sign o rep_theory;
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val is_draft = Sign.is_draft o sign_of;
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val syn_of = #syn o Sign.rep_sg o sign_of;
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val parents_of = #parents o rep_theory;
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val ancestors_of = #ancestors o rep_theory;
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(*errors involving theories*)
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exception THEORY of string * theory list;
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(*compare theories*)
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val subthy = Sign.subsig o pairself sign_of;
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val eq_thy = Sign.eq_sg o pairself sign_of;
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(*check for some theory*)
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fun requires thy name what =
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  if Sign.exists_stamp name (sign_of thy) then ()
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  else error ("Require theory " ^ quote name ^ " as an ancestor for " ^ what);
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fun assert_super thy1 thy2 =
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  if subthy (thy1, thy2) then thy2
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  else raise THEORY ("Not a super theory", [thy1, thy2]);
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(*partial Pure theory*)
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val pre_pure =
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  make_theory Sign.pre_pure Graph.empty Symtab.empty Symtab.empty [] [];
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(** extend theory **)
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(*name spaces*)
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val axiomK = "axiom";
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val oracleK = "oracle";
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(* extend logical part of a theory *)
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fun err_dup_axms names =
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  error ("Duplicate axiom name(s): " ^ commas_quote names);
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fun err_dup_oras names =
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  error ("Duplicate oracles: " ^ commas_quote names);
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fun ext_theory thy ext_sg ext_deps new_axms new_oras =
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  let
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    val Theory {sign, const_deps, axioms, oracles, parents, ancestors} = thy;
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    val draft = Sign.is_draft sign;
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    val axioms' =
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      Symtab.extend (if draft then axioms else Symtab.empty, new_axms)
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        handle Symtab.DUPS names => err_dup_axms names;
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    val oracles' =
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      Symtab.extend (oracles, new_oras)
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        handle Symtab.DUPS names => err_dup_oras names;
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    val (parents', ancestors') =
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      if draft then (parents, ancestors) else ([thy], thy :: ancestors);
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  in
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    make_theory (ext_sg sign) (ext_deps const_deps) axioms' oracles' parents' ancestors'
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  end;
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(* extend signature of a theory *)
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fun ext_sign extfun decls thy = ext_theory thy (extfun decls) I [] [];
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val add_classes      = ext_sign Sign.add_classes;
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val add_classes_i    = ext_sign Sign.add_classes_i;
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val add_classrel     = ext_sign Sign.add_classrel;
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val add_classrel_i   = ext_sign Sign.add_classrel_i;
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val add_defsort      = ext_sign Sign.add_defsort;
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val add_defsort_i    = ext_sign Sign.add_defsort_i;
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val add_types        = ext_sign Sign.add_types;
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val add_nonterminals = ext_sign Sign.add_nonterminals;
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val add_tyabbrs      = ext_sign Sign.add_tyabbrs;
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val add_tyabbrs_i    = ext_sign Sign.add_tyabbrs_i;
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val add_arities      = ext_sign Sign.add_arities;
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val add_arities_i    = ext_sign Sign.add_arities_i;
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val add_consts       = ext_sign Sign.add_consts;
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val add_consts_i     = ext_sign Sign.add_consts_i;
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val add_syntax       = ext_sign Sign.add_syntax;
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val add_syntax_i     = ext_sign Sign.add_syntax_i;
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val add_modesyntax   = curry (ext_sign Sign.add_modesyntax);
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val add_modesyntax_i = curry (ext_sign Sign.add_modesyntax_i);
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val add_trfuns       = ext_sign Sign.add_trfuns;
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val add_trfunsT      = ext_sign Sign.add_trfunsT;
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val add_tokentrfuns  = ext_sign Sign.add_tokentrfuns;
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fun add_mode_tokentrfuns m = add_tokentrfuns o map (fn (s, f) => (m, s, f));
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val add_trrules      = ext_sign Sign.add_trrules;
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val add_trrules_i    = ext_sign Sign.add_trrules_i;
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val add_path         = ext_sign Sign.add_path;
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val parent_path      = add_path "..";
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val root_path        = add_path "/";
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val absolute_path    = add_path "//";
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val add_space        = ext_sign Sign.add_space;
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val hide_space       = ext_sign Sign.hide_space;
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val hide_space_i     = ext_sign Sign.hide_space_i;
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val hide_classes     = curry hide_space_i Sign.classK;
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val hide_types       = curry hide_space_i Sign.typeK;
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val hide_consts      = curry hide_space_i Sign.constK;
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val add_name         = ext_sign Sign.add_name;
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val copy             = ext_sign (K Sign.copy) ();
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val prep_ext         = ext_sign (K Sign.prep_ext) ();
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(** add axioms **)
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(* prepare axioms *)
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fun err_in_axm name =
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  error ("The error(s) above occurred in axiom " ^ quote name);
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fun no_vars tm =
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  if null (term_vars tm) andalso null (term_tvars tm) then tm
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  else error "Illegal schematic variable(s) in term";
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fun cert_axm sg (name, raw_tm) =
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  let
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    val (t, T, _) = Sign.certify_term sg raw_tm
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      handle TYPE (msg, _, _) => error msg
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           | TERM (msg, _) => error msg;
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  in
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    Term.no_dummy_patterns t handle TERM (msg, _) => error msg;
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    assert (T = propT) "Term not of type prop";
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    (name, no_vars t)
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  end;
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(*some duplication of code with read_def_cterm*)
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fun read_def_axm (sg, types, sorts) used (name, str) =
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  let
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    val ts = Syntax.read (#syn (Sign.rep_sg sg)) propT str;
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    val (t, _) = Sign.infer_types sg types sorts used true (ts, propT);
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  in cert_axm sg (name, t) end
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  handle ERROR => err_in_axm name;
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fun read_axm sg name_str = read_def_axm (sg, K None, K None) [] name_str;
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fun inferT_axm sg (name, pre_tm) =
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  let
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    val (t, _) = Sign.infer_types sg (K None) (K None) [] true ([pre_tm], propT);
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  in (name, no_vars t) end
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  handle ERROR => err_in_axm name;
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(* extend axioms of a theory *)
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fun ext_axms prep_axm raw_axms (thy as Theory {sign, ...}) =
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  let
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    val raw_axms' = map (apfst (Sign.full_name sign)) raw_axms;
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    val axioms =
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      map (apsnd (Term.compress_term o Logic.varify) o prep_axm sign) raw_axms';
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    val ext_sg = Sign.add_space (axiomK, map fst axioms);
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  in ext_theory thy ext_sg I axioms [] end;
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val add_axioms = ext_axms read_axm;
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val add_axioms_i = ext_axms cert_axm;
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(* add oracle **)
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fun add_oracle (raw_name, oracle) (thy as Theory {sign, ...}) =
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  let
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    val name = Sign.full_name sign raw_name;
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    val ext_sg = Sign.add_space (oracleK, [name]);
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  in ext_theory thy ext_sg I [] [(name, (oracle, stamp ()))] end;
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(** add constant definitions **)
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(* clash_types, clash_consts *)
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(*check if types have common instance (ignoring sorts)*)
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fun clash_types ty1 ty2 =
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  let
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    val ty1' = Type.varifyT ty1;
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    val ty2' = incr_tvar (maxidx_of_typ ty1' + 1) (Type.varifyT ty2);
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  in Type.raw_unify (ty1', ty2') end;
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fun clash_consts (c1, ty1) (c2, ty2) =
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  c1 = c2 andalso clash_types ty1 ty2;
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(* clash_defns *)
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fun clash_defn c_ty (name, tm) =
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  let val (c, ty') = dest_Const (head_of (fst (Logic.dest_equals tm))) in
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    if clash_consts c_ty (c, ty') then Some (name, ty') else None
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  end handle TERM _ => None;
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fun clash_defns c_ty axms =
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  distinct (mapfilter (clash_defn c_ty) axms);
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(* overloading *)
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datatype overloading = NoOverloading | Useless | Plain;
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   327
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   328
fun overloading sg declT defT =
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  let val T = Term.incr_tvar (maxidx_of_typ declT + 1) (Type.varifyT defT) in
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   330
    if Sign.typ_instance sg (declT, T) then NoOverloading
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   331
    else if Sign.typ_instance sg (Type.rem_sorts declT, Type.rem_sorts T) then Useless
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   332
    else Plain
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   333
  end;
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nipkow@9280
   335
wenzelm@3767
   336
(* dest_defn *)
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wenzelm@3767
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fun dest_defn tm =
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  let
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    fun err msg = raise TERM (msg, [tm]);
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   341
wenzelm@3767
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    val (lhs, rhs) = Logic.dest_equals (Logic.strip_imp_concl tm)
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      handle TERM _ => err "Not a meta-equality (==)";
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    val (head, args) = strip_comb lhs;
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    val c_ty as (c, ty) = dest_Const head
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      handle TERM _ => err "Head of lhs not a constant";
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   347
wenzelm@4141
   348
    fun dest_free (Free (x, _)) = x
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      | dest_free (Const ("TYPE", Type ("itself", [TFree (x, _)]))) = x
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      | dest_free _ = raise Match;
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   351
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    val show_frees = commas_quote o map dest_free;
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    val show_tfrees = commas_quote o map fst;
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   354
wenzelm@3767
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    val lhs_dups = duplicates args;
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    val rhs_extras = gen_rems (op =) (term_frees rhs, args);
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   357
    val rhs_extrasT = gen_rems (op =) (term_tfrees rhs, typ_tfrees ty);
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   358
  in
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   359
    if not (forall (can dest_free) args) then
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   360
      err "Arguments (on lhs) must be variables"
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   361
    else if not (null lhs_dups) then
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   362
      err ("Duplicate variables on lhs: " ^ show_frees lhs_dups)
wenzelm@3767
   363
    else if not (null rhs_extras) then
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   364
      err ("Extra variables on rhs: " ^ show_frees rhs_extras)
wenzelm@3767
   365
    else if not (null rhs_extrasT) then
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   366
      err ("Extra type variables on rhs: " ^ show_tfrees rhs_extrasT)
nipkow@9282
   367
    else if exists_Const (fn c_ty' => c_ty' = c_ty) rhs then
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   368
      err ("Constant to be defined occurs on rhs")
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   369
    else (c_ty, rhs)
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   370
  end;
wenzelm@3767
   371
wenzelm@3767
   372
wenzelm@3767
   373
(* check_defn *)
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   374
wenzelm@3814
   375
fun err_in_defn sg name msg =
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   376
  (error_msg msg;
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   377
    error ("The error(s) above occurred in definition " ^ quote (Sign.full_name sg name)));
wenzelm@9320
   378
wenzelm@9332
   379
fun cycle_msg namess = "Cyclic dependency of constants:\n" ^
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  cat_lines (map (space_implode " -> " o map quote o rev) namess);
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   381
wenzelm@9320
   382
fun add_deps (c, cs) deps =
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   383
  let fun declare (G, x) = Graph.new_node (x, ()) G handle Graph.DUP _ => G
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   384
  in foldl declare (deps, c :: cs) |> Graph.add_deps_acyclic (c, cs) end;
wenzelm@9320
   385
wenzelm@9320
   386
wenzelm@9320
   387
fun check_defn sg overloaded ((deps, axms), def as (name, tm)) =
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   388
  let
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   389
    fun pretty_const (c, ty) = [Pretty.str c, Pretty.str " ::", Pretty.brk 1,
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   390
      Pretty.quote (Sign.pretty_typ sg (#1 (Type.freeze_thaw_type ty)))];
wenzelm@3767
   391
wenzelm@10494
   392
    fun def_txt (c_ty, txt) = Pretty.block
wenzelm@10494
   393
      (Pretty.str "Definition of " :: pretty_const c_ty @
wenzelm@10494
   394
        (if txt = "" then [] else [Pretty.str txt]));
wenzelm@10494
   395
wenzelm@10494
   396
    fun show_defn c (dfn, ty') = Pretty.block
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   397
      (Pretty.str "  " :: pretty_const (c, ty') @ [Pretty.str " in ", Pretty.str dfn]);
wenzelm@3767
   398
wenzelm@9320
   399
    val (c_ty as (c, ty), rhs) = dest_defn tm
nipkow@9280
   400
      handle TERM (msg, _) => err_in_defn sg name msg;
wenzelm@9320
   401
    val c_decl =
wenzelm@9320
   402
      (case Sign.const_type sg c of Some T => T
wenzelm@9320
   403
      | None => err_in_defn sg name ("Undeclared constant " ^ quote c));
wenzelm@9320
   404
wenzelm@9320
   405
    val clashed = clash_defns c_ty axms;
wenzelm@3767
   406
  in
wenzelm@9320
   407
    if not (null clashed) then
wenzelm@10494
   408
      err_in_defn sg name (Pretty.string_of (Pretty.chunks
wenzelm@10494
   409
        (def_txt (c_ty, " clashes with") :: map (show_defn c) clashed)))
wenzelm@9320
   410
    else
wenzelm@9320
   411
      (case overloading sg c_decl ty of
wenzelm@9320
   412
        NoOverloading =>
wenzelm@9320
   413
          (add_deps (c, Term.add_term_consts (rhs, [])) deps
wenzelm@9320
   414
              handle Graph.CYCLES namess => err_in_defn sg name (cycle_msg namess),
wenzelm@9320
   415
            def :: axms)
wenzelm@9320
   416
      | Useless =>
wenzelm@10494
   417
           err_in_defn sg name (Pretty.string_of (Pretty.chunks
wenzelm@10494
   418
             [Library.setmp show_sorts true def_txt (c_ty, ""), Pretty.str
wenzelm@10494
   419
                 "imposes additional sort constraints on the declared type of the constant"]))
wenzelm@9320
   420
      | Plain =>
wenzelm@10494
   421
         (if not overloaded then warning (Pretty.string_of (Pretty.chunks
wenzelm@10494
   422
           [def_txt (c_ty, ""), Pretty.str ("is strictly less general than the declared type (see "
wenzelm@10494
   423
               ^ quote (Sign.full_name sg name) ^ ")")]))
wenzelm@9320
   424
         else (); (deps, def :: axms)))
wenzelm@3767
   425
  end;
wenzelm@3767
   426
wenzelm@3767
   427
wenzelm@3767
   428
(* add_defs *)
wenzelm@3767
   429
wenzelm@9320
   430
fun ext_defns prep_axm overloaded raw_axms thy =
wenzelm@3767
   431
  let
wenzelm@9320
   432
    val Theory {sign, const_deps, axioms, oracles, parents, ancestors} = thy;
wenzelm@9320
   433
    val all_axioms = flat (map (Symtab.dest o #axioms o rep_theory) (thy :: ancestors));
wenzelm@9320
   434
wenzelm@9320
   435
    val axms = map (prep_axm sign) raw_axms;
wenzelm@9320
   436
    val (const_deps', _) = foldl (check_defn sign overloaded) ((const_deps, all_axioms), axms);
wenzelm@3767
   437
  in
wenzelm@9320
   438
    make_theory sign const_deps' axioms oracles parents ancestors
wenzelm@9320
   439
    |> add_axioms_i axms
wenzelm@3767
   440
  end;
wenzelm@3767
   441
wenzelm@3767
   442
val add_defs_i = ext_defns cert_axm;
wenzelm@3767
   443
val add_defs = ext_defns read_axm;
wenzelm@3767
   444
wenzelm@3767
   445
wenzelm@3878
   446
wenzelm@3865
   447
(** additional theory data **)
wenzelm@3865
   448
wenzelm@4996
   449
val init_data = curry (ext_sign Sign.init_data);
wenzelm@4996
   450
fun print_data kind = Sign.print_data kind o sign_of;
wenzelm@4996
   451
fun get_data kind f = Sign.get_data kind f o sign_of;
wenzelm@4996
   452
fun put_data kind f = ext_sign (Sign.put_data kind f);
wenzelm@3865
   453
wenzelm@3865
   454
wenzelm@3767
   455
wenzelm@6661
   456
(** merge theories **)          (*exception ERROR*)
wenzelm@4019
   457
wenzelm@4019
   458
fun merge_sign (sg, thy) =
wenzelm@4627
   459
  Sign.nontriv_merge (sg, sign_of thy) handle TERM (msg, _) => error msg;
paulson@1526
   460
wenzelm@3878
   461
(*merge list of theories from left to right, preparing extend*)
wenzelm@3967
   462
fun prep_ext_merge thys =
wenzelm@3996
   463
  if null thys then
wenzelm@4019
   464
    error "Merge: no parent theories"
wenzelm@6188
   465
  else if exists is_draft thys then
wenzelm@4019
   466
    error "Attempt to merge draft theories"
wenzelm@3996
   467
  else
wenzelm@3996
   468
    let
wenzelm@3996
   469
      val sign' =
wenzelm@4019
   470
        foldl merge_sign (sign_of (hd thys), tl thys)
wenzelm@3996
   471
        |> Sign.prep_ext
wenzelm@3996
   472
        |> Sign.add_path "/";
wenzelm@3814
   473
nipkow@9282
   474
      val depss = map (#const_deps o rep_theory) thys;
wenzelm@9320
   475
      val deps' = foldl (Graph.merge_acyclic (K true)) (hd depss, tl depss)
wenzelm@9320
   476
        handle Graph.CYCLES namess => error (cycle_msg namess);
nipkow@9282
   477
wenzelm@4488
   478
      val axioms' = Symtab.empty;
wenzelm@4019
   479
wenzelm@3996
   480
      fun eq_ora ((_, (_, s1: stamp)), (_, (_, s2))) = s1 = s2;
wenzelm@3996
   481
      val oracles' =
wenzelm@3996
   482
        Symtab.make (gen_distinct eq_ora
wenzelm@3996
   483
          (flat (map (Symtab.dest o #oracles o rep_theory) thys)))
wenzelm@3996
   484
        handle Symtab.DUPS names => err_dup_oras names;
wenzelm@4019
   485
wenzelm@4019
   486
      val parents' = gen_distinct eq_thy thys;
wenzelm@4019
   487
      val ancestors' =
wenzelm@4019
   488
        gen_distinct eq_thy (parents' @ flat (map ancestors_of thys));
wenzelm@3996
   489
    in
nipkow@9282
   490
      make_theory sign' deps' axioms' oracles' parents' ancestors'
wenzelm@3996
   491
    end;
paulson@1526
   492
wenzelm@3885
   493
paulson@1526
   494
end;
paulson@1526
   495
wenzelm@3767
   496
structure BasicTheory: BASIC_THEORY = Theory;
wenzelm@3767
   497
open BasicTheory;