author  paulson 
Wed, 27 May 1998 12:21:39 +0200  
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child 4974  45b7a51342a1 
permissions  rwrr 
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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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type local_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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include BASIC_THEORY 
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val apply: (theory > theory) list > theory > 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: 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_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 * 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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(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 * int)) list > 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 > 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 parent_path: theory > theory 
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val root_path: 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 requires: theory > string > string > unit 
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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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(*forward definition for Isar proof contexts*) 
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type local_theory = theory * object Symtab.table; 

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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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(*check for some named theory*) 
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fun requires thy name what = 
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if exists (equal name) (Sign.stamp_names_of (sign_of thy)) then () 
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else error ("Require theory " ^ quote name ^ " as an ancestor for " ^ what); 

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(*partial Pure theory*) 
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val pre_pure = make_thy Sign.pre_pure Symtab.empty Symtab.empty [] []; 

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(*apply transformers*) 
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fun apply [] thy = thy 

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 apply (f :: fs) thy = apply fs (f thy); 

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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 (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_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_nonterminals = ext_sg Sign.add_nonterminals; 
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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 parent_path = add_path ".."; 
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val root_path = 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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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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320 
handle TERM _ => err "Not a metaequality (==)"; 
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val (head, args) = strip_comb lhs; 
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val (c, ty) = dest_Const head 
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323 
handle TERM _ => err "Head of lhs not a constant"; 
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324 

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325 
fun occs_const (Const c_ty') = (c_ty' = (c, ty)) 
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326 
 occs_const (Abs (_, _, t)) = occs_const t 
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327 
 occs_const (t $ u) = occs_const t orelse occs_const u 
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328 
 occs_const _ = false; 
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329 

4141  330 
fun dest_free (Free (x, _)) = x 
331 
 dest_free (Const ("TYPE", Type ("itself", [TFree (x, _)]))) = x 

332 
 dest_free _ = raise Match; 

333 

334 
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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336 

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337 
val lhs_dups = duplicates args; 
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338 
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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340 
in 
4141  341 
if not (forall (can dest_free) args) then 
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342 
err "Arguments (on lhs) must be variables" 
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343 
else if not (null lhs_dups) then 
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344 
err ("Duplicate variables on lhs: " ^ show_frees lhs_dups) 
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345 
else if not (null rhs_extras) then 
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346 
err ("Extra variables on rhs: " ^ show_frees rhs_extras) 
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347 
else if not (null rhs_extrasT) then 
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348 
err ("Extra type variables on rhs: " ^ show_tfrees rhs_extrasT) 
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349 
else if occs_const rhs then 
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350 
err ("Constant to be defined occurs on rhs") 
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351 
else (c, ty) 
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352 
end; 
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353 

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354 

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355 
(* check_defn *) 
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356 

3814  357 
fun err_in_defn sg name msg = 
358 
(writeln msg; error ("The error(s) above occurred in definition " ^ 

359 
quote (Sign.full_name sg name))); 

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360 

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fun check_defn sign (axms, (name, tm)) = 
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362 
let 
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363 
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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365 

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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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368 

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val (c, ty) = dest_defn tm 
3814  370 
handle TERM (msg, _) => err_in_defn sign name msg; 
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val defns = clash_defns (c, ty) axms; 
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372 
in 
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if not (null defns) then 
3814  374 
err_in_defn sign name ("Definition of " ^ show_const (c, ty) ^ 
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375 
"\nclashes with " ^ show_defns c defns) 
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376 
else (name, tm) :: axms 
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377 
end; 
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378 

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379 

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380 
(* add_defs *) 
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381 

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382 
fun ext_defns prep_axm raw_axms thy = 
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383 
let 
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384 
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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386 
in 
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387 
foldl (check_defn (sign_of thy)) (all_axms, axms); 
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388 
add_axioms_i axms thy 
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389 
end; 
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390 

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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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393 

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394 

3878  395 

3865  396 
(** additional theory data **) 
397 

4048  398 
fun init_data ds = foldl (op o) (I, map (ext_sg Sign.init_data) ds); 
3865  399 
val get_data = Sign.get_data o sign_of; 
400 
val put_data = ext_sg Sign.put_data; 

401 

402 

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403 

4019  404 
(** merge theories **) (*exception ERROR*) 
405 

406 
fun merge_sign (sg, thy) = 

4627  407 
Sign.nontriv_merge (sg, sign_of thy) handle TERM (msg, _) => error msg; 
1526  408 

3878  409 
(*merge list of theories from left to right, preparing extend*) 
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410 
fun prep_ext_merge thys = 
3996  411 
if null thys then 
4019  412 
error "Merge: no parent theories" 
3996  413 
else if exists (Sign.is_draft o sign_of) thys then 
4019  414 
error "Attempt to merge draft theories" 
3996  415 
else 
416 
let 

417 
val sign' = 

4019  418 
foldl merge_sign (sign_of (hd thys), tl thys) 
3996  419 
> Sign.prep_ext 
420 
> Sign.add_path "/"; 

3814  421 

4488  422 
val axioms' = Symtab.empty; 
4019  423 

3996  424 
fun eq_ora ((_, (_, s1: stamp)), (_, (_, s2))) = s1 = s2; 
425 
val oracles' = 

426 
Symtab.make (gen_distinct eq_ora 

427 
(flat (map (Symtab.dest o #oracles o rep_theory) thys))) 

428 
handle Symtab.DUPS names => err_dup_oras names; 

4019  429 

430 
val parents' = gen_distinct eq_thy thys; 

431 
val ancestors' = 

432 
gen_distinct eq_thy (parents' @ flat (map ancestors_of thys)); 

3996  433 
in 
4019  434 
make_thy sign' axioms' oracles' parents' ancestors' 
3996  435 
end; 
1526  436 

3885  437 
fun merge_theories name (thy1, thy2) = 
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438 
prep_ext_merge [thy1, thy2] 
3885  439 
> add_name name; 
440 

441 

1526  442 
end; 
443 

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444 
structure BasicTheory: BASIC_THEORY = Theory; 
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445 
open BasicTheory; 