author  wenzelm 
Thu, 11 Oct 2007 19:10:23 +0200  
changeset 24981  4ec3f95190bf 
parent 24966  70111480b84b 
child 25017  e82ab4962f80 
permissions  rwrr 
1526  1 
(* Title: Pure/theory.ML 
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ID: $Id$ 

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Author: Lawrence C Paulson and Markus Wenzel 

4 

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type theory, theory_ref, exception THEORY and related operations imported from Context;
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Logical theory content: axioms, definitions, oracles. 
1526  6 
*) 
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signature BASIC_THEORY = 
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sig 
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val eq_thy: theory * theory > bool 
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val subthy: theory * theory > bool 
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end 
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signature THEORY = 
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include BASIC_THEORY 
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include SIGN_THEORY 
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val assert_super: theory > theory > theory 
22684  19 
val parents_of: theory > theory list 
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val ancestors_of: theory > theory list 

24666  21 
val check_thy: theory > theory_ref 
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val deref: theory_ref > theory 

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val merge: theory * theory > theory 

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val merge_refs: theory_ref * theory_ref > theory_ref 

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val merge_list: theory list > theory 

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val checkpoint: theory > theory 
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val copy: theory > theory 

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val requires: theory > string > string > unit 
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val axiom_space: theory > NameSpace.T 
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val axiom_table: theory > term Symtab.table 
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val oracle_space: theory > NameSpace.T 
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val oracle_table: theory > ((theory * Object.T > term) * stamp) Symtab.table 
16339  33 
val axioms_of: theory > (string * term) list 
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val all_axioms_of: theory > (string * term) list 

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val defs_of: theory > Defs.T 
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val at_begin: (theory > theory option) > theory > theory 

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val at_end: (theory > theory option) > theory > theory 

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val begin_theory: string > theory list > theory 

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val end_theory: 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_deps: string > string * typ > (string * typ) list > theory > theory 
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val add_defs: bool > bool > (bstring * string) list > theory > theory 
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val add_defs_i: bool > bool > (bstring * term) list > theory > theory 

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val add_finals: bool > string list > theory > theory 
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val add_finals_i: bool > term list > theory > theory 
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val specify_const: Markup.property list > bstring * typ * mixfix > theory > term * theory 
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val add_oracle: bstring * (theory * Object.T > term) > theory > theory 
16495  49 
end 
1526  50 

24666  51 
structure Theory: THEORY = 
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struct 
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24666  55 
(** theory context operations **) 
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val eq_thy = Context.eq_thy; 
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val subthy = Context.subthy; 
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fun assert_super thy1 thy2 = 
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if subthy (thy1, thy2) then thy2 
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else raise THEORY ("Not a super theory", [thy1, thy2]); 
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val parents_of = Context.parents_of; 
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val ancestors_of = Context.ancestors_of; 
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val check_thy = Context.check_thy; 
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val deref = Context.deref; 
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val merge = Context.merge; 
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val merge_refs = Context.merge_refs; 
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23600  73 
fun merge_list [] = raise THEORY ("Empty merge of theories", []) 
21608  74 
 merge_list (thy :: thys) = Library.foldl merge (thy, thys); 
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16495  76 
val checkpoint = Context.checkpoint_thy; 
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val copy = Context.copy_thy; 

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24666  79 
fun requires thy name what = 
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if Context.exists_name name thy then () 

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else error ("Require theory " ^ quote name ^ " as an ancestor for " ^ what); 

82 

83 

84 

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(** theory wrappers **) 

86 

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type wrapper = (theory > theory option) * stamp; 

88 

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fun apply_wrappers (wrappers: wrapper list) = 

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let 

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fun app [] res = res 

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 app ((f, _) :: fs) (changed, thy) = 

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(case f thy of 

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NONE => app fs (changed, thy) 

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 SOME thy' => app fs (true, thy')); 

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fun app_fixpoint thy = 

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(case app wrappers (false, thy) of 

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(false, _) => thy 

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 (true, thy') => app_fixpoint thy'); 

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in app_fixpoint end; 

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102 

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(** datatype thy **) 

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datatype thy = Thy of 

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{axioms: term NameSpace.table, 

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defs: Defs.T, 

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oracles: ((theory * Object.T > term) * stamp) NameSpace.table, 

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wrappers: wrapper list * wrapper list}; 

111 

112 
fun make_thy (axioms, defs, oracles, wrappers) = 

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Thy {axioms = axioms, defs = defs, oracles = oracles, wrappers = wrappers}; 

114 

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fun err_dup_axm dup = error ("Duplicate axiom: " ^ quote dup); 

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fun err_dup_ora dup = error ("Duplicate oracle: " ^ quote dup); 

117 

118 
structure ThyData = TheoryDataFun 

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( 

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type T = thy; 

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val empty = make_thy (NameSpace.empty_table, Defs.empty, NameSpace.empty_table, ([], [])); 

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val copy = I; 

123 

124 
fun extend (Thy {axioms, defs, oracles, wrappers}) = 

125 
make_thy (NameSpace.empty_table, defs, oracles, wrappers); 

126 

127 
fun merge pp (thy1, thy2) = 

128 
let 

129 
val Thy {axioms = _, defs = defs1, oracles = oracles1, wrappers = (bgs1, ens1)} = thy1; 

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val Thy {axioms = _, defs = defs2, oracles = oracles2, wrappers = (bgs2, ens2)} = thy2; 

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val axioms' = NameSpace.empty_table; 

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val defs' = Defs.merge pp (defs1, defs2); 

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val oracles' = NameSpace.merge_tables (eq_snd (op =)) (oracles1, oracles2) 

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handle Symtab.DUP dup => err_dup_ora dup; 

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val bgs' = Library.merge (eq_snd op =) (bgs1, bgs2); 

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val ens' = Library.merge (eq_snd op =) (ens1, ens2); 

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in make_thy (axioms', defs', oracles', (bgs', ens')) end; 

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); 

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fun rep_theory thy = ThyData.get thy > (fn Thy args => args); 

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fun map_thy f = ThyData.map (fn (Thy {axioms, defs, oracles, wrappers}) => 

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make_thy (f (axioms, defs, oracles, wrappers))); 

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fun map_axioms f = map_thy 

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(fn (axioms, defs, oracles, wrappers) => (f axioms, defs, oracles, wrappers)); 

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fun map_defs f = map_thy 

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(fn (axioms, defs, oracles, wrappers) => (axioms, f defs, oracles, wrappers)); 

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fun map_oracles f = map_thy 

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(fn (axioms, defs, oracles, wrappers) => (axioms, defs, f oracles, wrappers)); 

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fun map_wrappers f = map_thy 

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(fn (axioms, defs, oracles, wrappers) => (axioms, defs, oracles, f wrappers)); 

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(* basic operations *) 

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val axiom_space = #1 o #axioms o rep_theory; 

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val axiom_table = #2 o #axioms o rep_theory; 

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val oracle_space = #1 o #oracles o rep_theory; 

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val oracle_table = #2 o #oracles o rep_theory; 

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val axioms_of = Symtab.dest o #2 o #axioms o rep_theory; 

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fun all_axioms_of thy = maps axioms_of (thy :: ancestors_of thy); 

170 

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val defs_of = #defs o rep_theory; 

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173 

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(* begin/end theory *) 

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val begin_wrappers = rev o #1 o #wrappers o rep_theory; 

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val end_wrappers = rev o #2 o #wrappers o rep_theory; 

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fun at_begin f = map_wrappers (apfst (cons (f, stamp ()))); 

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fun at_end f = map_wrappers (apsnd (cons (f, stamp ()))); 

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fun begin_theory name imports = 

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let 

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val thy = Context.begin_thy Sign.pp name imports; 

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val wrappers = begin_wrappers thy; 

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in thy > Sign.local_path > apply_wrappers wrappers end; 

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fun end_theory thy = 

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thy > apply_wrappers (end_wrappers thy) > Context.finish_thy; 

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(* signature operations *) 
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structure SignTheory: SIGN_THEORY = Sign; 
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open SignTheory; 
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(** add axioms **) 
3814  200 

1526  201 
(* prepare axioms *) 
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fun err_in_axm msg name = 
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cat_error msg ("The error(s) above occurred in axiom " ^ quote name); 

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fun cert_axm thy (name, raw_tm) = 
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let 
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val (t, T, _) = Sign.certify_prop thy raw_tm 
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handle TYPE (msg, _, _) => error msg 
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 TERM (msg, _) => error msg; 
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in 
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Term.no_dummy_patterns t handle TERM (msg, _) => error msg; 
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(name, Sign.no_vars (Sign.pp thy) t) 
9629  214 
end; 
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22684  216 
fun read_axm thy (name, str) = 
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cert_axm thy (name, Syntax.read_prop_global thy str) 
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handle ERROR msg => err_in_axm msg name; 
1526  219 

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(* add_axioms(_i) *) 
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local 
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fun gen_add_axioms prep_axm raw_axms thy = thy > map_axioms (fn axioms => 
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let 
16991  227 
val axms = map (apsnd (Compress.term thy o Logic.varify) o prep_axm thy) raw_axms; 
23086  228 
val axioms' = NameSpace.extend_table (Sign.naming_of thy) axms axioms 
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handle Symtab.DUP dup => err_dup_axm dup; 
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in axioms' end); 
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16291  232 
in 
233 

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val add_axioms = gen_add_axioms read_axm; 

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val add_axioms_i = gen_add_axioms cert_axm; 

236 

237 
end; 

1526  238 

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(** add constant definitions **) 
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(* dependencies *) 
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fun dependencies thy unchecked is_def name lhs rhs = 
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let 
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val pp = Sign.pp thy; 
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val consts = Sign.consts_of thy; 
19727  249 
fun prep const = 
250 
let val Const (c, T) = Sign.no_vars pp (Const const) 

19806  251 
in (c, Consts.typargs consts (c, Compress.typ thy (Logic.varifyT T))) end; 
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val lhs_vars = Term.add_tfreesT (#2 lhs) []; 
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val rhs_extras = fold (#2 #> Term.fold_atyps (fn TFree v => 
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if member (op =) lhs_vars v then I else insert (op =) v  _ => I)) rhs []; 
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val _ = 
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if null rhs_extras then () 
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else error ("Specification depends on extra type variables: " ^ 
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commas_quote (map (Pretty.string_of_typ pp o TFree) rhs_extras) ^ 
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"\nThe error(s) above occurred in " ^ quote name); 
24199  261 
in Defs.define pp unchecked is_def name (prep lhs) (map prep rhs) end; 
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fun add_deps a raw_lhs raw_rhs thy = 
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let 
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val lhs :: rhs = map (dest_Const o Sign.cert_term thy o Const) (raw_lhs :: raw_rhs); 
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val name = if a = "" then (#1 lhs ^ " axiom") else a; 
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in thy > map_defs (dependencies thy false false name lhs rhs) end; 
17706  268 

269 

16944  270 
(* check_overloading *) 
9280  271 

16944  272 
fun check_overloading thy overloaded (c, T) = 
16291  273 
let 
24763  274 
val declT = Sign.the_const_constraint thy c 
275 
handle TYPE (msg, _, _) => error msg; 

19806  276 
val T' = Logic.varifyT T; 
16944  277 

278 
fun message txt = 

279 
[Pretty.block [Pretty.str "Specification of constant ", 

280 
Pretty.str c, Pretty.str " ::", Pretty.brk 1, Pretty.quote (Sign.pretty_typ thy T)], 

281 
Pretty.str txt] > Pretty.chunks > Pretty.string_of; 

16291  282 
in 
16944  283 
if Sign.typ_instance thy (declT, T') then () 
284 
else if Type.raw_instance (declT, T') then 

285 
error (Library.setmp show_sorts true 

286 
message "imposes additional sort constraints on the constant declaration") 

287 
else if overloaded then () 

288 
else warning (message "is strictly less general than the declared type"); 

289 
(c, T) 

9280  290 
end; 
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16291  293 
(* check_def *) 
294 

19630  295 
fun check_def thy unchecked overloaded (bname, tm) defs = 
16291  296 
let 
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val ctxt = ProofContext.init thy; 
17706  298 
val name = Sign.full_name thy bname; 
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val (lhs_const, rhs) = Sign.cert_def ctxt tm; 
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val rhs_consts = fold_aterms (fn Const const => insert (op =) const  _ => I) rhs []; 
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val _ = check_overloading thy overloaded lhs_const; 
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in defs > dependencies thy unchecked true name lhs_const rhs_consts end 
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handle ERROR msg => cat_error msg (Pretty.string_of (Pretty.block 
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[Pretty.str ("The error(s) above occurred in definition " ^ quote bname ^ ":"), 
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Pretty.fbrk, Pretty.quote (Sign.pretty_term thy tm)])); 
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(* add_defs(_i) *) 
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16291  310 
local 
9320  311 

19630  312 
fun gen_add_defs prep_axm unchecked overloaded raw_axms thy = 
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let val axms = map (prep_axm thy) raw_axms in 
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thy 
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> map_defs (fold (check_def thy unchecked overloaded) axms) 
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> add_axioms_i axms 
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end; 
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16291  319 
in 
320 

321 
val add_defs_i = gen_add_defs cert_axm; 

322 
val add_defs = gen_add_defs read_axm; 

323 

324 
end; 

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(* add_finals(_i) *) 
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16291  329 
local 
330 

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fun gen_add_finals prep_term overloaded args thy = 
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let 
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fun const_of (Const const) = const 
334 
 const_of (Free _) = error "Attempt to finalize variable (or undeclared constant)" 

335 
 const_of _ = error "Attempt to finalize nonconstant term"; 

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fun specify (c, T) = dependencies thy false false (c ^ " axiom") (c, T) []; 
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val finalize = specify o check_overloading thy overloaded o const_of o 
338 
Sign.cert_term thy o prep_term thy; 

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in thy > map_defs (fold finalize args) end; 
16291  340 

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in 
16291  342 

24708  343 
val add_finals = gen_add_finals Syntax.read_term_global; 
344 
val add_finals_i = gen_add_finals (K I); 

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end; 
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24966  348 
fun specify_const tags decl thy = 
349 
let val (const, thy') = Sign.declare_const tags decl thy 

350 
in (const, add_finals_i false [const] thy') end; 

351 

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3878  353 

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(** add oracle **) 
3814  355 

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fun add_oracle (bname, oracle) thy = thy > map_oracles (fn oracles => 
23086  357 
NameSpace.extend_table (Sign.naming_of thy) [(bname, (oracle, stamp ()))] oracles 
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handle Symtab.DUP dup => err_dup_ora dup); 
3885  359 

1526  360 
end; 
361 

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structure BasicTheory: BASIC_THEORY = Theory; 
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open BasicTheory; 