author | wenzelm |
Thu, 09 Oct 1997 14:55:05 +0200 | |
changeset 3814 | b0dc68aa1b6a |
parent 3806 | f371115aed37 |
child 3865 | 0035d1f97096 |
permissions | -rw-r--r-- |
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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, |
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new_axioms: term Symtab.table, |
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oracles: ((Sign.sg * exn -> term) * stamp) Symtab.table, |
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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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val thmK : string |
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val oracleK : string |
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(*theory extendsion primitives*) |
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val add_classes : (xclass * xclass list) list -> theory -> theory |
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val add_classes_i : (xclass * 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 : xsort -> theory -> theory |
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val add_defsort_i : sort -> theory -> theory |
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val add_types : (xstring * int * mixfix) list -> theory -> theory |
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val add_tyabbrs : (xstring * string list * string * mixfix) list |
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-> theory -> theory |
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val add_tyabbrs_i : (xstring * string list * typ * mixfix) list |
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-> theory -> theory |
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val add_arities : (xstring * xsort list * xsort) 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 : (xstring * string * mixfix) list -> theory -> theory |
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val add_consts_i : (xstring * typ * mixfix) list -> theory -> theory |
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val add_syntax : (xstring * string * mixfix) list -> theory -> theory |
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val add_syntax_i : (xstring * typ * mixfix) list -> theory -> theory |
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val add_modesyntax : string * bool -> (xstring * string * mixfix) list -> theory -> theory |
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val add_modesyntax_i : string * bool -> (xstring * 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 : (xstring * string) list -> theory -> theory |
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val add_axioms_i : (xstring * term) list -> theory -> theory |
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val add_oracle : string * (Sign.sg * exn -> term) -> theory -> theory |
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val add_defs : (xstring * string) list -> theory -> theory |
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val add_defs_i : (xstring * 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 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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new_axioms: term Symtab.table, |
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oracles: ((Sign.sg * exn -> term) * stamp) 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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fun make_thy sign parents = |
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Theory {sign = sign, new_axioms = Symtab.null, |
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oracles = Symtab.null, parents = parents}; |
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val proto_pure_thy = make_thy Sign.proto_pure []; |
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val pure_thy = make_thy Sign.pure [proto_pure_thy]; |
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val cpure_thy = make_thy Sign.cpure [proto_pure_thy]; |
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(** extend theory **) |
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(*name space kinds*) |
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val thmK = "thm"; |
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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_thy thy sign' new_axms new_oras = |
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let |
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val Theory {sign, new_axioms, oracles, parents} = thy; |
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val draft = Sign.is_draft sign; |
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val new_axioms' = |
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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 oracles' = |
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Symtab.extend_new (oracles, new_oras) |
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handle Symtab.DUPS names => err_dup_oras names; |
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val parents' = if draft then parents else [thy]; |
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in |
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Theory {sign = sign', new_axioms = new_axioms', |
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oracles = oracles', parents = parents'} |
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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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(** 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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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 |
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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 |
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val (_, t, _) = |
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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 sign' = Sign.add_space (thmK, map fst axioms) sign; |
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in |
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ext_thy thy sign' 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 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 sign' = Sign.add_space (oracleK, [name]) sign; |
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in |
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ext_thy thy sign' [] [(name, (oracle, stamp ()))] |
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end; |
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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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281 |
in |
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282 |
Type.raw_unify (ty1', ty2') |
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283 |
end; |
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|
284 |
|
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285 |
fun clash_consts (c1, ty1) (c2, ty2) = |
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286 |
c1 = c2 andalso clash_types ty1 ty2; |
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|
287 |
|
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|
288 |
|
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|
289 |
(* clash_defns *) |
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|
290 |
|
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|
291 |
fun clash_defn c_ty (name, tm) = |
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292 |
let val (c, ty') = dest_Const (head_of (fst (Logic.dest_equals tm))) in |
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293 |
if clash_consts c_ty (c, ty') then Some (name, ty') else None |
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294 |
end handle TERM _ => None; |
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|
295 |
|
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|
296 |
fun clash_defns c_ty axms = |
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297 |
distinct (mapfilter (clash_defn c_ty) axms); |
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|
298 |
|
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|
299 |
|
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|
300 |
(* dest_defn *) |
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|
301 |
|
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302 |
fun dest_defn tm = |
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303 |
let |
3787
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|
304 |
fun err msg = raise TERM (msg, [tm]); |
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|
305 |
|
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|
306 |
val (lhs, rhs) = Logic.dest_equals (Logic.strip_imp_concl tm) |
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|
307 |
handle TERM _ => err "Not a meta-equality (==)"; |
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|
308 |
val (head, args) = strip_comb lhs; |
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|
309 |
val (c, ty) = dest_Const head |
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|
310 |
handle TERM _ => err "Head of lhs not a constant"; |
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|
311 |
|
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|
312 |
fun occs_const (Const c_ty') = (c_ty' = (c, ty)) |
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313 |
| occs_const (Abs (_, _, t)) = occs_const t |
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314 |
| occs_const (t $ u) = occs_const t orelse occs_const u |
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315 |
| occs_const _ = false; |
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|
316 |
|
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|
317 |
val show_frees = commas_quote o map (fst o dest_Free); |
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|
318 |
val show_tfrees = commas_quote o map fst; |
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|
319 |
|
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|
320 |
val lhs_dups = duplicates args; |
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|
321 |
val rhs_extras = gen_rems (op =) (term_frees rhs, args); |
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|
322 |
val rhs_extrasT = gen_rems (op =) (term_tfrees rhs, typ_tfrees ty); |
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|
323 |
in |
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|
324 |
if not (forall is_Free args) then |
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|
325 |
err "Arguments (on lhs) must be variables" |
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|
326 |
else if not (null lhs_dups) then |
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|
327 |
err ("Duplicate variables on lhs: " ^ show_frees lhs_dups) |
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|
328 |
else if not (null rhs_extras) then |
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|
329 |
err ("Extra variables on rhs: " ^ show_frees rhs_extras) |
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|
330 |
else if not (null rhs_extrasT) then |
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|
331 |
err ("Extra type variables on rhs: " ^ show_tfrees rhs_extrasT) |
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|
332 |
else if occs_const rhs then |
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|
333 |
err ("Constant to be defined occurs on rhs") |
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|
334 |
else (c, ty) |
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|
335 |
end; |
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|
336 |
|
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|
337 |
|
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|
338 |
(* check_defn *) |
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|
339 |
|
3814 | 340 |
fun err_in_defn sg name msg = |
341 |
(writeln msg; error ("The error(s) above occurred in definition " ^ |
|
342 |
quote (Sign.full_name sg name))); |
|
3767
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|
343 |
|
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|
344 |
fun check_defn sign (axms, (name, tm)) = |
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|
345 |
let |
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|
346 |
fun show_const (c, ty) = quote (Pretty.string_of (Pretty.block |
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|
347 |
[Pretty.str (c ^ " ::"), Pretty.brk 1, Sign.pretty_typ sign ty])); |
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|
348 |
|
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|
349 |
fun show_defn c (dfn, ty') = show_const (c, ty') ^ " in " ^ dfn; |
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|
350 |
fun show_defns c = cat_lines o map (show_defn c); |
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|
351 |
|
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|
352 |
val (c, ty) = dest_defn tm |
3814 | 353 |
handle TERM (msg, _) => err_in_defn sign name msg; |
3767
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|
354 |
val defns = clash_defns (c, ty) axms; |
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|
355 |
in |
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|
356 |
if not (null defns) then |
3814 | 357 |
err_in_defn sign name ("Definition of " ^ show_const (c, ty) ^ |
3767
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|
358 |
"\nclashes with " ^ show_defns c defns) |
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|
359 |
else (name, tm) :: axms |
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|
360 |
end; |
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|
361 |
|
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|
362 |
|
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|
363 |
(* add_defs *) |
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|
364 |
|
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|
365 |
fun ext_defns prep_axm raw_axms thy = |
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|
366 |
let |
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|
367 |
val axms = map (prep_axm (sign_of thy)) raw_axms; |
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|
368 |
val all_axms = all_axioms_of thy; |
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|
369 |
in |
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|
370 |
foldl (check_defn (sign_of thy)) (all_axms, axms); |
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|
371 |
add_axioms_i axms thy |
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|
372 |
end; |
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|
373 |
|
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|
374 |
val add_defs_i = ext_defns cert_axm; |
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|
375 |
val add_defs = ext_defns read_axm; |
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|
376 |
|
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changeset
|
377 |
|
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|
378 |
|
1526 | 379 |
(** merge theories **) |
380 |
||
381 |
fun merge_thy_list mk_draft thys = |
|
382 |
let |
|
383 |
fun is_union thy = forall (fn t => subthy (t, thy)) thys; |
|
384 |
val is_draft = Sign.is_draft o sign_of; |
|
385 |
||
386 |
fun add_sign (sg, Theory {sign, ...}) = |
|
387 |
Sign.merge (sg, sign) handle TERM (msg, _) => error msg; |
|
3814 | 388 |
|
389 |
fun oracles_of (Theory {oracles, ...}) = Symtab.dest oracles; |
|
390 |
fun eq_ora ((_, (_, s1: stamp)), (_, (_, s2))) = s1 = s2; |
|
391 |
val all_oracles = |
|
392 |
Symtab.make (gen_distinct eq_ora (flat (map oracles_of thys))) |
|
393 |
handle Symtab.DUPS names => err_dup_oras names; |
|
1526 | 394 |
in |
3814 | 395 |
(case (find_first is_union thys, exists is_draft thys) of |
1526 | 396 |
(Some thy, _) => thy |
397 |
| (None, true) => raise THEORY ("Illegal merge of draft theories", thys) |
|
398 |
| (None, false) => Theory { |
|
399 |
sign = |
|
400 |
(if mk_draft then Sign.make_draft else I) |
|
401 |
(foldl add_sign (Sign.proto_pure, thys)), |
|
402 |
new_axioms = Symtab.null, |
|
3814 | 403 |
oracles = all_oracles, |
404 |
parents = thys}) |
|
1526 | 405 |
end; |
406 |
||
407 |
fun merge_theories (thy1, thy2) = merge_thy_list false [thy1, thy2]; |
|
408 |
||
409 |
||
410 |
end; |
|
411 |
||
3767
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|
412 |
structure BasicTheory: BASIC_THEORY = Theory; |
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|
413 |
open BasicTheory; |