author  wenzelm 
Sat, 21 Jan 2006 23:02:14 +0100  
changeset 18728  6790126ab5f6 
parent 18678  dd0c569fa43d 
child 18763  e2b4ba340ff1 
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 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 dest_def: Pretty.pp > term > (string * typ) * term 
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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 > (bstring * string) list > theory > theory 
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val add_defs_i: 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 pp (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 = List.concat (map axioms_of (thy :: ancestors_of thy)); 

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val defs_of = #defs o rep_theory; 
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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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18678  166 
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 no_vars pp tm = 
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(case (Term.term_vars tm, Term.term_tvars tm) of 

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([], []) => tm 
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 (ts, ixns) => error (Pretty.string_of (Pretty.block (Pretty.breaks 
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(Pretty.str "Illegal schematic variable(s) in term:" :: 
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map (Pretty.term pp) ts @ map (Pretty.typ pp o TVar) ixns))))); 
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fun cert_axm thy (name, raw_tm) = 
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let 
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val pp = Sign.pp thy; 
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val (t, T, _) = Sign.certify_term pp thy raw_tm 
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handle TYPE (msg, _, _) => error msg 
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 TERM (msg, _) => error msg; 
1526  182 
in 
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Term.no_dummy_patterns t handle TERM (msg, _) => error msg; 
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assert (T = propT) "Term not of type prop"; 
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(name, no_vars pp t) 
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end; 
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fun read_def_axm (thy, types, sorts) used (name, str) = 
3814  189 
let 
16600  190 
val ts = Syntax.read thy (Sign.is_logtype thy) (Sign.syn_of thy) propT str; 
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val (t, _) = Sign.infer_types (Sign.pp thy) thy types sorts used true (ts, propT); 
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in cert_axm thy (name, t) end 
18678  193 
handle ERROR msg => err_in_axm msg name; 
1526  194 

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fun read_axm thy name_str = read_def_axm (thy, K NONE, K NONE) [] name_str; 
5057  196 

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fun inferT_axm thy (name, pre_tm) = 
16291  198 
let 
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val pp = Sign.pp thy; 
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val (t, _) = Sign.infer_types pp thy (K NONE) (K NONE) [] true ([pre_tm], propT); 
16291  201 
in (name, 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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214 
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 
(* dest_def *) 
256 

257 
fun dest_def pp tm = 

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let 
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fun err msg = raise TERM (msg, [tm]); 
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260 

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val (lhs, rhs) = Logic.dest_equals (Logic.strip_imp_concl tm) 
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handle TERM _ => err "Not a metaequality (==)"; 
18338  263 
val (head, args) = Term.strip_comb (Pattern.beta_eta_contract lhs); 
16291  264 
val (c, T) = Term.dest_Const head 
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handle TERM _ => err "Head of lhs not a constant"; 
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266 

4141  267 
fun dest_free (Free (x, _)) = x 
268 
 dest_free (Const ("TYPE", Type ("itself", [TFree (x, _)]))) = x 

269 
 dest_free _ = raise Match; 

270 

16291  271 
val show_terms = commas_quote o map (Pretty.string_of_term pp); 
4141  272 
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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16291  275 
val lhs_nofrees = filter (not o can dest_free) args; 
18139  276 
val lhs_dups = gen_duplicates (op aconv) args; 
277 
val rhs_extras = term_frees rhs > fold (remove op aconv) args; 

16291  278 
val rhs_extrasT = term_tfrees rhs > fold (remove op =) (typ_tfrees T); 
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in 
16291  280 
if not (null lhs_nofrees) then 
281 
err ("Nonvariables as arguments on lhs: " ^ show_terms lhs_nofrees) 

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else if not (null lhs_dups) then 
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err ("Duplicate variables on lhs: " ^ show_frees lhs_dups) 
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else if not (null rhs_extras) then 
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err ("Extra variables on rhs: " ^ show_frees rhs_extras) 
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else if not (null rhs_extrasT) then 
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err ("Extra type variables on rhs: " ^ show_tfrees rhs_extrasT) 
16291  288 
else if exists_Const (equal (c, T)) rhs then 
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err ("Constant to be defined occurs on rhs") 
16291  290 
else ((c, T), rhs) 
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end; 
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292 

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16291  294 
(* check_def *) 
295 

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fun check_def thy overloaded (bname, tm) defs = 
16291  297 
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  302 

16944  303 
val _ = no_vars pp tm; 
17706  304 
val name = Sign.full_name thy bname; 
16944  305 
val (const, rhs) = dest_def pp tm handle TERM (msg, _) => error msg; 
306 
val rhs_consts = fold_aterms (fn Const const => insert (op =) const  _ => I) rhs []; 

307 
val _ = check_overloading thy overloaded const; 

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308 
in 
17706  309 
defs > Defs.define (Sign.the_const_type thy) 
310 
name (prep_const thy const) (map (prep_const thy) rhs_consts) 

16883  311 
end 
18678  312 
handle ERROR msg => cat_error msg (Pretty.string_of (Pretty.block 
16883  313 
[Pretty.str ("The error(s) above occurred in definition " ^ quote bname ^ ":"), 
314 
Pretty.fbrk, Pretty.quote (Pretty.term (Sign.pp thy) tm)])); 

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315 

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316 

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(* add_defs(_i) *) 
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318 

16291  319 
local 
9320  320 

16291  321 
fun gen_add_defs prep_axm overloaded raw_axms thy = 
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let val axms = map (prep_axm thy) raw_axms in 
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323 
thy 
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> map_defs (fold (check_def thy overloaded) axms) 
9320  325 
> add_axioms_i axms 
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326 
end; 
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327 

16291  328 
in 
329 

330 
val add_defs_i = gen_add_defs cert_axm; 

331 
val add_defs = gen_add_defs read_axm; 

332 

333 
end; 

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334 

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335 

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336 
(* add_finals(_i) *) 
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337 

16291  338 
local 
339 

17706  340 
fun gen_add_finals prep_term overloaded args thy = 
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341 
let 
17706  342 
fun const_of (Const const) = const 
343 
 const_of (Free _) = error "Attempt to finalize variable (or undeclared constant)" 

344 
 const_of _ = error "Attempt to finalize nonconstant term"; 

345 
fun specify (c, T) = Defs.define (Sign.the_const_type thy) (c ^ " axiom") (c, T) []; 

346 
val finalize = specify o check_overloading thy overloaded o 

347 
const_of o no_vars (Sign.pp thy) o prep_term thy; 

348 
in thy > map_defs (fold finalize args) end; 

16291  349 

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350 
in 
16291  351 

17706  352 
val add_finals = gen_add_finals Sign.read_term; 
353 
val add_finals_i = gen_add_finals Sign.cert_term; 

16291  354 

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355 
end; 
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356 

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357 

3878  358 

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359 
(** add oracle **) 
3814  360 

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361 
fun add_oracle (bname, oracle) thy = thy > map_oracles (fn oracles => 
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362 
NameSpace.extend_table (Sign.naming_of thy) (oracles, [(bname, (oracle, stamp ()))]) 
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363 
handle Symtab.DUPS dups => err_dup_oras dups); 
3885  364 

1526  365 
end; 
366 

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367 
structure BasicTheory: BASIC_THEORY = Theory; 
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open BasicTheory; 