author  wenzelm 
Thu, 28 Jul 2005 15:20:01 +0200  
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parent 16883  a89fafe1cbd8 
child 16991  39f5760f72d7 
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, theory_ref, exception THEORY and related operations imported from Context;
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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.graph, 
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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.graph 
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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 > (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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type theory, theory_ref, exception THEORY and related operations imported from Context;
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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.graph, 
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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 (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 () 
4846  153 
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 name = 

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error ("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 
16291  180 
 TERM (msg, _) => error msg; 
1526  181 
in 
9537  182 
Term.no_dummy_patterns t handle TERM (msg, _) => error msg; 
1526  183 
assert (T = propT) "Term not of type prop"; 
16291  184 
(name, no_vars pp t) 
9629  185 
end; 
1526  186 

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fun read_def_axm (thy, types, sorts) used (name, str) = 
3814  188 
let 
16600  189 
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 
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handle ERROR => err_in_axm 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, _) = Sign.infer_types pp thy (K NONE) (K NONE) [] true ([pre_tm], propT); 
16291  200 
in (name, no_vars pp t) end 
1526  201 
handle ERROR => err_in_axm name; 
202 

203 

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(* add_axioms(_i) *) 
1526  205 

16291  206 
local 
207 

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fun gen_add_axioms prep_axm raw_axms thy = thy > map_axioms (fn axioms => 
1526  209 
let 
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val axms = map (apsnd (Term.compress_term 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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213 
in axioms' end); 
1526  214 

16291  215 
in 
216 

217 
val add_axioms = gen_add_axioms read_axm; 

218 
val add_axioms_i = gen_add_axioms cert_axm; 

219 

220 
end; 

1526  221 

222 

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223 

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(** add constant definitions **) 
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16944  226 
(* check_overloading *) 
9280  227 

16944  228 
fun check_overloading thy overloaded (c, T) = 
16291  229 
let 
16944  230 
val declT = 
231 
(case Sign.const_constraint thy c of 

232 
NONE => error ("Undeclared constant " ^ quote c) 

233 
 SOME declT => declT); 

234 
val T' = Type.varifyT T; 

235 

236 
fun message txt = 

237 
[Pretty.block [Pretty.str "Specification of constant ", 

238 
Pretty.str c, Pretty.str " ::", Pretty.brk 1, Pretty.quote (Sign.pretty_typ thy T)], 

239 
Pretty.str txt] > Pretty.chunks > Pretty.string_of; 

16291  240 
in 
16944  241 
if Sign.typ_instance thy (declT, T') then () 
242 
else if Type.raw_instance (declT, T') then 

243 
error (Library.setmp show_sorts true 

244 
message "imposes additional sort constraints on the constant declaration") 

245 
else if overloaded then () 

246 
else warning (message "is strictly less general than the declared type"); 

247 
(c, T) 

9280  248 
end; 
249 

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16291  251 
(* dest_def *) 
252 

253 
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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256 

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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 (==)"; 
16291  259 
val (head, args) = Term.strip_comb lhs; 
260 
val (c, T) = Term.dest_Const head 

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handle TERM _ => err "Head of lhs not a constant"; 
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262 

4141  263 
fun dest_free (Free (x, _)) = x 
264 
 dest_free (Const ("TYPE", Type ("itself", [TFree (x, _)]))) = x 

265 
 dest_free _ = raise Match; 

266 

16291  267 
val show_terms = commas_quote o map (Pretty.string_of_term pp); 
4141  268 
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  271 
val lhs_nofrees = filter (not o can dest_free) args; 
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val lhs_dups = duplicates args; 
16291  273 
val rhs_extras = term_frees rhs > fold (remove op =) args; 
274 
val rhs_extrasT = term_tfrees rhs > fold (remove op =) (typ_tfrees T); 

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in 
16291  276 
if not (null lhs_nofrees) then 
277 
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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280 
else if not (null rhs_extras) then 
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err ("Extra variables on rhs: " ^ show_frees rhs_extras) 
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282 
else if not (null rhs_extrasT) then 
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err ("Extra type variables on rhs: " ^ show_tfrees rhs_extrasT) 
16291  284 
else if exists_Const (equal (c, T)) rhs then 
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err ("Constant to be defined occurs on rhs") 
16291  286 
else ((c, T), rhs) 
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end; 
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288 

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16291  290 
(* check_def *) 
291 

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fun check_def thy overloaded (bname, tm) defs = 
16291  293 
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))]; 
16944  298 
fun declared (c, _) = (c, Sign.the_const_type thy c); 
16883  299 

16944  300 
val _ = no_vars pp tm; 
301 
val (const, rhs) = dest_def pp tm handle TERM (msg, _) => error msg; 

302 
val rhs_consts = fold_aterms (fn Const const => insert (op =) const  _ => I) rhs []; 

303 
val _ = check_overloading thy overloaded const; 

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304 
in 
16944  305 
defs 
306 
> Defs.declare (declared const) 

307 
> fold (Defs.declare o declared) rhs_consts 

308 
> Defs.define pp const (Sign.full_name thy bname) rhs_consts 

16883  309 
end 
310 
handle ERROR => error (Pretty.string_of (Pretty.block 

311 
[Pretty.str ("The error(s) above occurred in definition " ^ quote bname ^ ":"), 

312 
Pretty.fbrk, Pretty.quote (Pretty.term (Sign.pp thy) tm)])); 

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313 

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314 

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315 
(* add_defs(_i) *) 
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316 

16291  317 
local 
9320  318 

16291  319 
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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321 
thy 
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> map_defs (fold (check_def thy overloaded) axms) 
9320  323 
> add_axioms_i axms 
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324 
end; 
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325 

16291  326 
in 
327 

328 
val add_defs_i = gen_add_defs cert_axm; 

329 
val add_defs = gen_add_defs read_axm; 

330 

331 
end; 

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332 

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333 

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334 
(* add_finals(_i) *) 
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335 

16291  336 
local 
337 

338 
fun gen_add_finals prep_term overloaded raw_terms thy = 

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339 
let 
16944  340 
val pp = Sign.pp thy; 
16291  341 
fun finalize tm finals = 
342 
let 

16944  343 
val _ = no_vars pp tm; 
344 
val const as (c, _) = 

16291  345 
(case tm of Const x => x 
16944  346 
 Free _ => error "Attempt to finalize variable (or undeclared constant)" 
347 
 _ => error "Attempt to finalize nonconstant term") 

348 
> check_overloading thy overloaded; 

349 
in finals > Defs.declare (c, Sign.the_const_type thy c) > Defs.finalize const end; 

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350 
in thy > map_defs (fold finalize (map (prep_term thy) raw_terms)) end; 
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351 

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fun read_term thy = Sign.simple_read_term thy TypeInfer.logicT; 
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353 
fun cert_term thy = #1 o Sign.certify_term (Sign.pp thy) thy; 
16291  354 

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355 
in 
16291  356 

357 
val add_finals = gen_add_finals read_term; 

358 
val add_finals_i = gen_add_finals cert_term; 

359 

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360 
end; 
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361 

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362 

3878  363 

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364 
(** add oracle **) 
3814  365 

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366 
fun add_oracle (bname, oracle) thy = thy > map_oracles (fn oracles => 
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367 
NameSpace.extend_table (Sign.naming_of thy) (oracles, [(bname, (oracle, stamp ()))]) 
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368 
handle Symtab.DUPS dups => err_dup_oras dups); 
3885  369 

1526  370 
end; 
371 

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372 
structure BasicTheory: BASIC_THEORY = Theory; 
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373 
open BasicTheory; 