author | wenzelm |
Mon, 01 Dec 1997 18:22:38 +0100 | |
changeset 4334 | e567f3425267 |
parent 4257 | 1663f9056045 |
child 4344 | e000b5db4087 |
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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axioms: term Symtab.table, |
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oracles: ((Sign.sg * object -> 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 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_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: string -> 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 axiomK: string |
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val oracleK: string |
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(*theory extendsion 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: xsort -> 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_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 * 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: (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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(bstring * (Syntax.ast list -> Syntax.ast)) list * |
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(bstring * (term list -> term)) list * |
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(bstring * (term list -> term)) list * |
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(bstring * (Syntax.ast list -> Syntax.ast)) list -> theory -> theory |
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val add_trfunsT: |
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(bstring * (bool -> 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: (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 -> term) -> theory -> theory |
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val add_defs: (bstring * string) list -> theory -> theory |
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val add_defs_i: (bstring * 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 init_data: (string * (object * (object -> object) * |
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(object * object -> object) * (Sign.sg -> object -> unit))) list -> theory -> theory |
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val get_data: theory -> string -> object |
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val put_data: string * object -> 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 pre_pure: 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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axioms: term Symtab.table, |
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oracles: ((Sign.sg * object -> term) * stamp) Symtab.table, |
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parents: theory list, |
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ancestors: theory list}; |
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fun make_thy sign axms oras parents ancestors = |
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Theory {sign = sign, axioms = axms, oracles = oras, |
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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 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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(* partial Pure theory *) |
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val pre_pure = make_thy Sign.pre_pure Symtab.null Symtab.null [] []; |
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(** extend theory **) |
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(*name space kinds*) |
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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_thy thy sign' new_axms new_oras = |
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let |
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val Theory {sign, 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_new (if draft then 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', ancestors') = |
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if draft then (parents, ancestors) else ([thy], thy :: ancestors); |
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in |
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make_thy sign' axioms' oracles' parents' ancestors' |
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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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val prep_ext = ext_sg (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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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, _) = 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, _) = 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 (axiomK, 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 all_axioms_of thy = |
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flat (map (Symtab.dest o #axioms o rep_theory) (thy :: ancestors_of thy)); |
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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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286 |
let val (c, ty') = dest_Const (head_of (fst (Logic.dest_equals tm))) in |
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287 |
if clash_consts c_ty (c, ty') then Some (name, ty') else None |
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288 |
end handle TERM _ => None; |
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289 |
|
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290 |
fun clash_defns c_ty axms = |
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291 |
distinct (mapfilter (clash_defn c_ty) axms); |
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292 |
|
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|
293 |
|
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294 |
(* dest_defn *) |
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295 |
|
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296 |
fun dest_defn tm = |
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297 |
let |
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298 |
fun err msg = raise TERM (msg, [tm]); |
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299 |
|
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300 |
val (lhs, rhs) = Logic.dest_equals (Logic.strip_imp_concl tm) |
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301 |
handle TERM _ => err "Not a meta-equality (==)"; |
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302 |
val (head, args) = strip_comb lhs; |
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303 |
val (c, ty) = dest_Const head |
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304 |
handle TERM _ => err "Head of lhs not a constant"; |
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|
305 |
|
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|
306 |
fun occs_const (Const c_ty') = (c_ty' = (c, ty)) |
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307 |
| occs_const (Abs (_, _, t)) = occs_const t |
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308 |
| occs_const (t $ u) = occs_const t orelse occs_const u |
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309 |
| occs_const _ = false; |
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310 |
|
4141 | 311 |
fun dest_free (Free (x, _)) = x |
312 |
| dest_free (Const ("TYPE", Type ("itself", [TFree (x, _)]))) = x |
|
313 |
| dest_free _ = raise Match; |
|
314 |
||
315 |
val show_frees = commas_quote o map dest_free; |
|
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316 |
val show_tfrees = commas_quote o map fst; |
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317 |
|
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318 |
val lhs_dups = duplicates args; |
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|
319 |
val rhs_extras = gen_rems (op =) (term_frees rhs, args); |
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320 |
val rhs_extrasT = gen_rems (op =) (term_tfrees rhs, typ_tfrees ty); |
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321 |
in |
4141 | 322 |
if not (forall (can dest_free) args) then |
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323 |
err "Arguments (on lhs) must be variables" |
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324 |
else if not (null lhs_dups) then |
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325 |
err ("Duplicate variables on lhs: " ^ show_frees lhs_dups) |
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326 |
else if not (null rhs_extras) then |
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327 |
err ("Extra variables on rhs: " ^ show_frees rhs_extras) |
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328 |
else if not (null rhs_extrasT) then |
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329 |
err ("Extra type variables on rhs: " ^ show_tfrees rhs_extrasT) |
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330 |
else if occs_const rhs then |
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331 |
err ("Constant to be defined occurs on rhs") |
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|
332 |
else (c, ty) |
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|
333 |
end; |
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|
334 |
|
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|
335 |
|
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|
336 |
(* check_defn *) |
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337 |
|
3814 | 338 |
fun err_in_defn sg name msg = |
339 |
(writeln msg; error ("The error(s) above occurred in definition " ^ |
|
340 |
quote (Sign.full_name sg name))); |
|
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|
341 |
|
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|
342 |
fun check_defn sign (axms, (name, tm)) = |
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|
343 |
let |
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344 |
fun show_const (c, ty) = quote (Pretty.string_of (Pretty.block |
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|
345 |
[Pretty.str (c ^ " ::"), Pretty.brk 1, Sign.pretty_typ sign ty])); |
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346 |
|
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347 |
fun show_defn c (dfn, ty') = show_const (c, ty') ^ " in " ^ dfn; |
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348 |
fun show_defns c = cat_lines o map (show_defn c); |
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349 |
|
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350 |
val (c, ty) = dest_defn tm |
3814 | 351 |
handle TERM (msg, _) => err_in_defn sign name msg; |
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352 |
val defns = clash_defns (c, ty) axms; |
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|
353 |
in |
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354 |
if not (null defns) then |
3814 | 355 |
err_in_defn sign name ("Definition of " ^ show_const (c, ty) ^ |
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|
356 |
"\nclashes with " ^ show_defns c defns) |
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|
357 |
else (name, tm) :: axms |
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|
358 |
end; |
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|
359 |
|
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|
360 |
|
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|
361 |
(* add_defs *) |
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|
362 |
|
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|
363 |
fun ext_defns prep_axm raw_axms thy = |
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|
364 |
let |
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|
365 |
val axms = map (prep_axm (sign_of thy)) raw_axms; |
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366 |
val all_axms = all_axioms_of thy; |
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|
367 |
in |
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|
368 |
foldl (check_defn (sign_of thy)) (all_axms, axms); |
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|
369 |
add_axioms_i axms thy |
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|
370 |
end; |
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|
371 |
|
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|
372 |
val add_defs_i = ext_defns cert_axm; |
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|
373 |
val add_defs = ext_defns read_axm; |
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|
374 |
|
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|
375 |
|
3878 | 376 |
|
3865 | 377 |
(** additional theory data **) |
378 |
||
4048 | 379 |
fun init_data ds = foldl (op o) (I, map (ext_sg Sign.init_data) ds); |
3865 | 380 |
val get_data = Sign.get_data o sign_of; |
381 |
val put_data = ext_sg Sign.put_data; |
|
382 |
||
383 |
||
3767
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|
384 |
|
4019 | 385 |
(** merge theories **) (*exception ERROR*) |
386 |
||
387 |
fun merge_sign (sg, thy) = |
|
388 |
Sign.merge (sg, sign_of thy) handle TERM (msg, _) => error msg; |
|
1526 | 389 |
|
3878 | 390 |
(*merge list of theories from left to right, preparing extend*) |
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|
391 |
fun prep_ext_merge thys = |
3996 | 392 |
if null thys then |
4019 | 393 |
error "Merge: no parent theories" |
3996 | 394 |
else if exists (Sign.is_draft o sign_of) thys then |
4019 | 395 |
error "Attempt to merge draft theories" |
3996 | 396 |
else |
397 |
let |
|
398 |
val sign' = |
|
4019 | 399 |
foldl merge_sign (sign_of (hd thys), tl thys) |
3996 | 400 |
|> Sign.prep_ext |
401 |
|> Sign.add_path "/"; |
|
3814 | 402 |
|
4019 | 403 |
val axioms' = Symtab.null; |
404 |
||
3996 | 405 |
fun eq_ora ((_, (_, s1: stamp)), (_, (_, s2))) = s1 = s2; |
406 |
val oracles' = |
|
407 |
Symtab.make (gen_distinct eq_ora |
|
408 |
(flat (map (Symtab.dest o #oracles o rep_theory) thys))) |
|
409 |
handle Symtab.DUPS names => err_dup_oras names; |
|
4019 | 410 |
|
411 |
val parents' = gen_distinct eq_thy thys; |
|
412 |
val ancestors' = |
|
413 |
gen_distinct eq_thy (parents' @ flat (map ancestors_of thys)); |
|
3996 | 414 |
in |
4019 | 415 |
make_thy sign' axioms' oracles' parents' ancestors' |
3996 | 416 |
end; |
1526 | 417 |
|
3885 | 418 |
fun merge_theories name (thy1, thy2) = |
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|
419 |
prep_ext_merge [thy1, thy2] |
3885 | 420 |
|> add_name name; |
421 |
||
422 |
||
1526 | 423 |
end; |
424 |
||
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|
425 |
structure BasicTheory: BASIC_THEORY = Theory; |
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426 |
open BasicTheory; |