src/Pure/theory.ML
author wenzelm
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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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Theories.
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*)
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(*this part made pervasive*)
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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, oraopt: (Sign.sg * exn -> term) option,
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     new_axioms: term Symtab.table, parents: theory list}
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  val sign_of           : theory -> Sign.sg
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  val syn_of            : theory -> Syntax.syntax
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  val stamps_of_thy     : theory -> string ref list
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  val parents_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 proto_pure_thy    : theory
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  val pure_thy          : theory
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  val cpure_thy         : theory
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  val cert_axm          : Sign.sg -> string * term -> 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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  val merge_theories    : theory * theory -> theory
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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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  (*theory extendsion primitives*)
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  val add_classes	: (class * class list) list -> theory -> theory
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  val add_classes_i	: (class * class list) list -> theory -> theory
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  val add_classrel	: (class * class) list -> theory -> theory
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  val add_classrel_i	: (class * class) list -> theory -> theory
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  val add_defsort	: sort -> theory -> theory
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  val add_defsort_i	: sort -> theory -> theory
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  val add_types		: (string * int * mixfix) list -> theory -> theory
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  val add_tyabbrs	: (string * string list * string * mixfix) list
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    -> theory -> theory
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  val add_tyabbrs_i	: (string * string list * typ * mixfix) list
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    -> theory -> theory
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  val add_arities	: (string * sort list * sort) 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	: (string * string * mixfix) list -> theory -> theory
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  val add_consts_i	: (string * typ * mixfix) list -> theory -> theory
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  val add_syntax	: (string * string * mixfix) list -> theory -> theory
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  val add_syntax_i	: (string * typ * mixfix) list -> theory -> theory
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  val add_modesyntax	: string * bool -> (string * string * mixfix) list -> theory -> theory
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  val add_modesyntax_i	: string * bool -> (string * 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 * (typ -> term list -> term)) list -> theory -> theory
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  val add_tokentrfuns:
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    (string * string * (string -> string * int)) list -> theory -> theory
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  val add_trrules     : (string * 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	: (string * string) list -> theory -> theory
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  val add_axioms_i	: (string * term) list -> theory -> theory
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  val add_defs		: (string * string) list -> theory -> theory
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  val add_defs_i	: (string * term) list -> theory -> theory
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  val add_path		: string -> theory -> theory
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  val add_space		: string * string list -> theory -> theory
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  val add_name		: string -> theory -> theory
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  val set_oracle	: (Sign.sg * exn -> term) -> theory -> theory
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  val merge_thy_list    : bool -> theory list -> theory
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end;
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structure Theory: THEORY =
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struct
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(** datatype theory **)
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datatype theory =
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  Theory of {
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    sign: Sign.sg,
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    oraopt: (Sign.sg * exn -> term) option,
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    new_axioms: term Symtab.table,
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    parents: theory list};
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fun rep_theory (Theory args) = args;
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(*errors involving theories*)
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exception THEORY of string * theory list;
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val sign_of = #sign o rep_theory;
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val syn_of = #syn o Sign.rep_sg o sign_of;
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(*stamps associated with a theory*)
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val stamps_of_thy = #stamps o Sign.rep_sg o sign_of;
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(*return the immediate ancestors*)
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val parents_of = #parents o rep_theory;
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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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(* the Pure theories *)
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val proto_pure_thy =
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  Theory {sign = Sign.proto_pure, oraopt = None, 
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	  new_axioms = Symtab.null, parents = []};
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val pure_thy =
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  Theory {sign = Sign.pure, oraopt = None, 
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	  new_axioms = Symtab.null, parents = []};
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val cpure_thy =
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  Theory {sign = Sign.cpure, oraopt = None, 
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	  new_axioms = Symtab.null, parents = []};
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(** extend 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 ext_thy (thy as Theory {sign, oraopt, new_axioms, parents}) 
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            sign1 new_axms =
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  let
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    val draft = Sign.is_draft sign;
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    val new_axioms1 =
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      Symtab.extend_new (if draft then new_axioms else Symtab.null, new_axms)
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        handle Symtab.DUPS names => err_dup_axms names;
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    val parents1 = if draft then parents else [thy];
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  in
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    Theory {sign = sign1, oraopt = oraopt, 
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	    new_axioms = new_axioms1, parents = parents1}
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  end;
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(* extend signature of a theory *)
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fun ext_sg extfun decls (thy as Theory {sign, ...}) =
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  ext_thy thy (extfun decls sign) [];
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val add_classes      = ext_sg Sign.add_classes;
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val add_classes_i    = ext_sg Sign.add_classes_i;
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val add_classrel     = ext_sg Sign.add_classrel;
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val add_classrel_i   = ext_sg Sign.add_classrel_i;
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val add_defsort      = ext_sg Sign.add_defsort;
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val add_defsort_i    = ext_sg Sign.add_defsort_i;
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val add_types        = ext_sg Sign.add_types;
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val add_tyabbrs      = ext_sg Sign.add_tyabbrs;
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val add_tyabbrs_i    = ext_sg Sign.add_tyabbrs_i;
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val add_arities      = ext_sg Sign.add_arities;
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val add_arities_i    = ext_sg Sign.add_arities_i;
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val add_consts       = ext_sg Sign.add_consts;
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val add_consts_i     = ext_sg Sign.add_consts_i;
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val add_syntax       = ext_sg Sign.add_syntax;
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val add_syntax_i     = ext_sg Sign.add_syntax_i;
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val add_modesyntax   = curry (ext_sg Sign.add_modesyntax);
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val add_modesyntax_i = curry (ext_sg Sign.add_modesyntax_i);
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val add_trfuns       = ext_sg Sign.add_trfuns;
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val add_trfunsT      = ext_sg Sign.add_trfunsT;
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val add_tokentrfuns  = ext_sg Sign.add_tokentrfuns;
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val add_trrules      = ext_sg Sign.add_trrules;
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val add_trrules_i    = ext_sg Sign.add_trrules_i;
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val add_path         = ext_sg Sign.add_path;
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val add_space        = ext_sg Sign.add_space;
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val add_name         = ext_sg Sign.add_name;
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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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    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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  handle ERROR => err_in_axm name;
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(*Some duplication of code with read_def_cterm*)
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fun read_axm sg (name, str) = 
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  let val ts = Syntax.read (#syn (Sign.rep_sg sg)) propT str;
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      val (_, t, _) =
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          Sign.infer_types sg (K None) (K None) [] 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 inferT_axm sg (name, pre_tm) =
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  let val t = #2(Sign.infer_types sg (K None) (K None) [] true
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                                     ([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 axms (thy as Theory {sign, ...}) =
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  let
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    val sign1 = Sign.make_draft sign;
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    val axioms = map (apsnd (Term.compress_term o Logic.varify) o 
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		      prep_axm sign) 
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	         axms;
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  in
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    ext_thy thy sign1 axioms
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  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 constant definitions **)
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(* all_axioms_of *)
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(*results may contain duplicates!*)
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fun ancestry_of thy =
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  thy :: List.concat (map ancestry_of (parents_of thy));
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val all_axioms_of =
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  List.concat o map (Symtab.dest o #new_axioms o rep_theory) o ancestry_of;
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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
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    Type.raw_unify (ty1', ty2')
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  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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(* dest_defn *)
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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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    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) = dest_Const head
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      handle TERM _ => err "Head of lhs not a constant";
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    fun occs_const (Const c_ty') = (c_ty' = (c, ty))
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      | occs_const (Abs (_, _, t)) = occs_const t
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      | occs_const (t $ u) = occs_const t orelse occs_const u
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      | occs_const _ = false;
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    val show_frees = commas_quote o map (fst o dest_Free);
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    val show_tfrees = commas_quote o map fst;
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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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    val rhs_extrasT = gen_rems (op =) (term_tfrees rhs, typ_tfrees ty);
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  in
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    if not (forall is_Free args) then
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      err "Arguments (on lhs) must be variables"
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    else if not (null lhs_dups) then
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      err ("Duplicate variables on lhs: " ^ show_frees lhs_dups)
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    else if not (null rhs_extras) then
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      err ("Extra variables on rhs: " ^ show_frees rhs_extras)
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    else if not (null rhs_extrasT) then
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      err ("Extra type variables on rhs: " ^ show_tfrees rhs_extrasT)
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    else if occs_const rhs then
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      err ("Constant to be defined occurs on rhs")
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    else (c, ty)
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  end;
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(* check_defn *)
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fun err_in_defn name msg =
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  (writeln msg; error ("The error(s) above occurred in definition " ^ quote name));
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fun check_defn sign (axms, (name, tm)) =
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  let
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    fun show_const (c, ty) = quote (Pretty.string_of (Pretty.block
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      [Pretty.str (c ^ " ::"), Pretty.brk 1, Sign.pretty_typ sign ty]));
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    fun show_defn c (dfn, ty') = show_const (c, ty') ^ " in " ^ dfn;
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    fun show_defns c = cat_lines o map (show_defn c);
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    val (c, ty) = dest_defn tm
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      handle TERM (msg, _) => err_in_defn name msg;
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    val defns = clash_defns (c, ty) axms;
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  in
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    if not (null defns) then
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      err_in_defn name ("Definition of " ^ show_const (c, ty) ^
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        "\nclashes with " ^ show_defns c defns)
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    else (name, tm) :: axms
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  end;
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(* add_defs *)
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fun ext_defns prep_axm raw_axms thy =
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  let
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    val axms = map (prep_axm (sign_of thy)) raw_axms;
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    val all_axms = all_axioms_of thy;
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  in
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    foldl (check_defn (sign_of thy)) (all_axms, axms);
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    add_axioms_i axms thy
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  end;
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val add_defs_i = ext_defns cert_axm;
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val add_defs = ext_defns read_axm;
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(** Set oracle of theory **)
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(* FIXME support more than one oracle (!?) *)
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fun set_oracle oracle
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               (thy as Theory {sign, oraopt = None, new_axioms, parents}) =
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      if Sign.is_draft sign then
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	Theory {sign = sign, 
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		oraopt = Some oracle, 
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		new_axioms = new_axioms, 
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		parents = parents}
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      else raise THEORY ("Can only set oracle of a draft", [thy])
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  | set_oracle _ thy = raise THEORY ("Oracle already set", [thy]);
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(** merge theories **)
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fun merge_thy_list mk_draft thys =
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  let
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    fun is_union thy = forall (fn t => subthy (t, thy)) thys;
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    val is_draft = Sign.is_draft o sign_of;
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    fun add_sign (sg, Theory {sign, ...}) =
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      Sign.merge (sg, sign) handle TERM (msg, _) => error msg;
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  in
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    case (find_first is_union thys, exists is_draft thys) of
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      (Some thy, _) => thy
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    | (None, true) => raise THEORY ("Illegal merge of draft theories", thys)
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    | (None, false) => Theory {
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        sign =
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          (if mk_draft then Sign.make_draft else I)
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          (foldl add_sign (Sign.proto_pure, thys)),
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	oraopt = None,
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        new_axioms = Symtab.null,
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        parents = thys}
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  end;
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fun merge_theories (thy1, thy2) = merge_thy_list false [thy1, thy2];
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end;
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structure BasicTheory: BASIC_THEORY = Theory;
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open BasicTheory;