author  wenzelm 
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parent 19614  d6b806032ccc 
child 19693  ab816ca8df06 
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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Logical theory content: axioms, definitions, oracles. 
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*) 
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signature BASIC_THEORY = 
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sig 
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type theory 
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type theory_ref 
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val sign_of: theory > theory (*obsolete*) 
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val rep_theory: theory > 
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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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val parents_of: theory > theory list 
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val ancestors_of: theory > theory list 
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type theory, theory_ref, exception THEORY and related operations imported from Context;
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val eq_thy: theory * theory > bool 
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val subthy: theory * theory > bool 
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val cert_axm: theory > string * term > string * term 
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val read_def_axm: theory * (indexname > typ option) * (indexname > sort option) > 
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string list > string * string > string * term 
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val read_axm: theory > string * string > string * term 
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val inferT_axm: theory > string * term > string * term 
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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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include SIGN_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 checkpoint: theory > theory 

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val copy: theory > theory 

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val init_data: theory > theory 
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val axiom_space: theory > NameSpace.T 
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val oracle_space: theory > NameSpace.T 
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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 definitions_of: theory > string > 
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{module: string, name: string, lhs: typ, rhs: (string * typ) list} list 

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val self_ref: theory > theory_ref 
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val deref: theory_ref > theory 
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val merge: theory * theory > theory (*exception TERM*) 
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val merge_refs: theory_ref * theory_ref > theory_ref (*exception TERM*) 
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val requires: theory > string > string > unit 
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val assert_super: 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_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 add_oracle: bstring * (theory * Object.T > term) > theory > theory 
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end 
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structure Theory: THEORY = 
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struct 
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(** type theory **) 
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(* context operations *) 
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type theory = Context.theory; 
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type theory_ref = Context.theory_ref; 
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val eq_thy = Context.eq_thy; 
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val subthy = Context.subthy; 
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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 self_ref = Context.self_ref; 
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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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val begin_theory = Sign.local_path oo Context.begin_thy Sign.pp; 
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val end_theory = Context.finish_thy; 

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val checkpoint = Context.checkpoint_thy; 

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val copy = Context.copy_thy; 

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(* signature operations *) 
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val sign_of = I; 
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structure SignTheory: SIGN_THEORY = Sign; 
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open SignTheory; 
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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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fun make_thy (axioms, defs, oracles) = 
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Thy {axioms = axioms, defs = defs, oracles = oracles}; 
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fun err_dup_axms dups = error ("Duplicate axiom(s): " ^ commas_quote dups); 
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fun err_dup_oras dups = error ("Duplicate oracle(s): " ^ commas_quote dups); 
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structure ThyData = TheoryDataFun 
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(struct 
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val name = "Pure/theory"; 
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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; 
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fun extend (Thy {axioms, defs, oracles}) = make_thy (NameSpace.empty_table, defs, oracles); 
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fun merge pp (thy1, thy2) = 
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let 
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val Thy {axioms = _, defs = defs1, oracles = oracles1} = thy1; 
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val Thy {axioms = _, defs = defs2, oracles = oracles2} = thy2; 
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val axioms = NameSpace.empty_table; 
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val defs = Defs.merge (defs1, defs2); 
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val oracles = NameSpace.merge_tables (eq_snd (op =)) (oracles1, oracles2) 
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handle Symtab.DUPS dups => err_dup_oras dups; 
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in make_thy (axioms, defs, oracles) end; 
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fun print _ _ = (); 
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end); 
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val init_data = ThyData.init; 
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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}) => 
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make_thy (f (axioms, defs, oracles))); 
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fun map_axioms f = map_thy (fn (axioms, defs, oracles) => (f axioms, defs, oracles)); 
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fun map_defs f = map_thy (fn (axioms, defs, oracles) => (axioms, f defs, oracles)); 
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fun map_oracles f = map_thy (fn (axioms, defs, oracles) => (axioms, defs, f oracles)); 
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(* basic operations *) 
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val axiom_space = #1 o #axioms o rep_theory; 
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val oracle_space = #1 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); 
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val defs_of = #defs o rep_theory; 
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fun definitions_of thy c = 
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Defs.specifications_of (defs_of thy) c 

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> map_filter (fn (_, {is_def, module, name, lhs, rhs}) => 

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if is_def then SOME {module = module, name = name, lhs = lhs, rhs = rhs} else NONE); 

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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); 
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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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(** add axioms **) 
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(* 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) 
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end; 
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fun read_def_axm (thy, types, sorts) used (name, str) = 
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let 
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val ts = Syntax.read (Context.Theory thy) (Sign.is_logtype thy) (Sign.syn_of thy) propT str; 
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val (t, _) = 
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Sign.infer_types (Sign.pp thy) thy (Sign.consts_of thy) types sorts used true (ts, propT); 
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in cert_axm thy (name, t) end 
18678  192 
handle ERROR msg => err_in_axm msg name; 
1526  193 

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fun read_axm thy name_str = read_def_axm (thy, K NONE, K NONE) [] name_str; 
5057  195 

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fun inferT_axm thy (name, pre_tm) = 
16291  197 
let 
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val pp = Sign.pp thy; 
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val (t, _) = 
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Sign.infer_types pp thy (Sign.consts_of thy) (K NONE) (K NONE) [] true ([pre_tm], propT); 
18943  201 
in (name, Sign.no_vars pp t) end 
18678  202 
handle ERROR msg => err_in_axm msg name; 
1526  203 

204 

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(* add_axioms(_i) *) 
1526  206 

16291  207 
local 
208 

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fun gen_add_axioms prep_axm raw_axms thy = thy > map_axioms (fn axioms => 
1526  210 
let 
16991  211 
val axms = map (apsnd (Compress.term thy o Logic.varify) o prep_axm thy) raw_axms; 
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val axioms' = NameSpace.extend_table (Sign.naming_of thy) (axioms, axms) 
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handle Symtab.DUPS dups => err_dup_axms dups; 
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in axioms' end); 
1526  215 

16291  216 
in 
217 

218 
val add_axioms = gen_add_axioms read_axm; 

219 
val add_axioms_i = gen_add_axioms cert_axm; 

220 

221 
end; 

1526  222 

223 

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224 

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(** add constant definitions **) 
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17706  227 
fun prep_const thy (c, T) = (c, Compress.typ thy (Type.varifyT T)); 
228 

229 

16944  230 
(* check_overloading *) 
9280  231 

16944  232 
fun check_overloading thy overloaded (c, T) = 
16291  233 
let 
16944  234 
val declT = 
235 
(case Sign.const_constraint thy c of 

236 
NONE => error ("Undeclared constant " ^ quote c) 

237 
 SOME declT => declT); 

238 
val T' = Type.varifyT T; 

239 

240 
fun message txt = 

241 
[Pretty.block [Pretty.str "Specification of constant ", 

242 
Pretty.str c, Pretty.str " ::", Pretty.brk 1, Pretty.quote (Sign.pretty_typ thy T)], 

243 
Pretty.str txt] > Pretty.chunks > Pretty.string_of; 

16291  244 
in 
16944  245 
if Sign.typ_instance thy (declT, T') then () 
246 
else if Type.raw_instance (declT, T') then 

247 
error (Library.setmp show_sorts true 

248 
message "imposes additional sort constraints on the constant declaration") 

249 
else if overloaded then () 

250 
else warning (message "is strictly less general than the declared type"); 

251 
(c, T) 

9280  252 
end; 
253 

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16291  255 
(* check_def *) 
256 

19630  257 
fun check_def thy unchecked overloaded (bname, tm) defs = 
16291  258 
let 
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val pp = Sign.pp thy; 
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fun prt_const (c, T) = 
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[Pretty.str c, Pretty.str " ::", Pretty.brk 1, 
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Pretty.quote (Pretty.typ pp (Type.freeze_type T))]; 
16883  263 

17706  264 
val name = Sign.full_name thy bname; 
18943  265 
val (lhs_const, rhs) = Sign.cert_def pp tm; 
16944  266 
val rhs_consts = fold_aterms (fn Const const => insert (op =) const  _ => I) rhs []; 
18943  267 
val _ = check_overloading thy overloaded lhs_const; 
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in 
19630  269 
defs > Defs.define (Sign.const_typargs thy) unchecked true (Context.theory_name thy) 
19570  270 
name (prep_const thy lhs_const) (map (prep_const thy) rhs_consts) 
16883  271 
end 
18678  272 
handle ERROR msg => cat_error msg (Pretty.string_of (Pretty.block 
16883  273 
[Pretty.str ("The error(s) above occurred in definition " ^ quote bname ^ ":"), 
274 
Pretty.fbrk, Pretty.quote (Pretty.term (Sign.pp thy) tm)])); 

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276 

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(* add_defs(_i) *) 
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16291  279 
local 
9320  280 

19630  281 
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 
19630  284 
> map_defs (fold (check_def thy unchecked overloaded) axms) 
9320  285 
> add_axioms_i axms 
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end; 
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16291  288 
in 
289 

290 
val add_defs_i = gen_add_defs cert_axm; 

291 
val add_defs = gen_add_defs read_axm; 

292 

293 
end; 

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(* add_finals(_i) *) 
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16291  298 
local 
299 

17706  300 
fun gen_add_finals prep_term overloaded args thy = 
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let 
17706  302 
fun const_of (Const const) = const 
303 
 const_of (Free _) = error "Attempt to finalize variable (or undeclared constant)" 

304 
 const_of _ = error "Attempt to finalize nonconstant term"; 

19630  305 
fun specify (c, T) = Defs.define (Sign.const_typargs thy) false false (Context.theory_name thy) 
19570  306 
(c ^ " axiom") (prep_const thy (c, T)) []; 
17706  307 
val finalize = specify o check_overloading thy overloaded o 
18943  308 
const_of o Sign.no_vars (Sign.pp thy) o prep_term thy; 
17706  309 
in thy > map_defs (fold finalize args) end; 
16291  310 

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in 
16291  312 

17706  313 
val add_finals = gen_add_finals Sign.read_term; 
314 
val add_finals_i = gen_add_finals Sign.cert_term; 

16291  315 

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end; 
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317 

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318 

3878  319 

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(** add oracle **) 
3814  321 

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fun add_oracle (bname, oracle) thy = thy > map_oracles (fn oracles => 
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NameSpace.extend_table (Sign.naming_of thy) (oracles, [(bname, (oracle, stamp ()))]) 
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handle Symtab.DUPS dups => err_dup_oras dups); 
3885  325 

1526  326 
end; 
327 

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structure BasicTheory: BASIC_THEORY = Theory; 
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open BasicTheory; 