author  wenzelm 
Wed, 22 Jun 2005 19:41:22 +0200  
changeset 16536  c5744af6b28a 
parent 16495  2e99aca906a7 
child 16600  55ffcee3b8f3 
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.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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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 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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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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(** diagnostics **) (* FIXME belongs to defs.ML *) 
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fun pretty_const pp (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))]; (* FIXME zero indexes!? *) 
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fun pretty_path pp path = fold_rev (fn (T, c, def) => 
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fn [] => [Pretty.block (pretty_const pp (c, T))] 
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 prts => Pretty.block (pretty_const pp (c, T) @ 
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[Pretty.brk 1, Pretty.str ("depends via " ^ quote def ^ " on")]) :: prts) path []; 
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fun chain_history_msg s = (* FIXME huh!? *) 
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if Defs.chain_history () then s ^ ": " 
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else s ^ " (set DEFS_CHAIN_HISTORY=ON for full history): "; 
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fun defs_circular pp path = 
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Pretty.str (chain_history_msg "Cyclic dependency of definitions") :: pretty_path pp path 
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> Pretty.chunks > Pretty.string_of; 
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fun defs_infinite_chain pp path = 
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Pretty.str (chain_history_msg "Infinite chain of definitions") :: pretty_path pp path 
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> Pretty.chunks > Pretty.string_of; 
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fun defs_clash def1 def2 = "Type clash in definitions " ^ quote def1 ^ " and " ^ quote def2; 
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fun defs_final pp const = 
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(Pretty.str "Attempt to define final constant" :: Pretty.brk 1 :: pretty_const pp const) 
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> Pretty.block > Pretty.string_of; 
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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 defs1 defs2 (* FIXME produce errors in defs.ML *) 
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handle Defs.CIRCULAR namess => error (defs_circular pp namess) 
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 Defs.INFINITE_CHAIN namess => error (defs_infinite_chain pp namess); 
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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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159 
end); 
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160 

16536  161 
val init_data = ThyData.init; 
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162 

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fun rep_theory thy = ThyData.get thy > (fn Thy args => args); 
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164 

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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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167 

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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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171 

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172 

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(* basic operations *) 
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174 

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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; 
3996  177 

16339  178 
val axioms_of = Symtab.dest o #2 o #axioms o rep_theory; 
179 
fun all_axioms_of thy = List.concat (map axioms_of (thy :: ancestors_of thy)); 

180 

4970  181 
fun requires thy name what = 
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if Context.exists_name name thy then () 
4846  183 
else error ("Require theory " ^ quote name ^ " as an ancestor for " ^ what); 
1526  184 

6369  185 
fun assert_super thy1 thy2 = 
186 
if subthy (thy1, thy2) then thy2 

187 
else raise THEORY ("Not a super theory", [thy1, thy2]); 

188 

3996  189 

6311  190 

3814  191 
(** add axioms **) 
192 

1526  193 
(* prepare axioms *) 
194 

195 
fun err_in_axm name = 

196 
error ("The error(s) above occurred in axiom " ^ quote name); 

197 

16291  198 
fun no_vars pp tm = 
199 
(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:" :: 
16291  203 
map (Pretty.term pp) ts @ map (Pretty.typ pp o TVar) ixns))))); 
1526  204 

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fun cert_axm thy (name, raw_tm) = 
1526  206 
let 
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val pp = Sign.pp thy; 
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val (t, T, _) = Sign.certify_term pp thy raw_tm 
2979  209 
handle TYPE (msg, _, _) => error msg 
16291  210 
 TERM (msg, _) => error msg; 
1526  211 
in 
9537  212 
Term.no_dummy_patterns t handle TERM (msg, _) => error msg; 
1526  213 
assert (T = propT) "Term not of type prop"; 
16291  214 
(name, no_vars pp t) 
9629  215 
end; 
1526  216 

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fun read_def_axm (thy, types, sorts) used (name, str) = 
3814  218 
let 
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val ts = Syntax.read (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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221 
in cert_axm thy (name, t) end 
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handle ERROR => err_in_axm name; 
1526  223 

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fun read_axm thy name_str = read_def_axm (thy, K NONE, K NONE) [] name_str; 
5057  225 

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fun inferT_axm thy (name, pre_tm) = 
16291  227 
let 
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val pp = Sign.pp thy; 
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229 
val (t, _) = Sign.infer_types pp thy (K NONE) (K NONE) [] true ([pre_tm], propT); 
16291  230 
in (name, no_vars pp t) end 
1526  231 
handle ERROR => err_in_axm name; 
232 

233 

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(* add_axioms(_i) *) 
1526  235 

16291  236 
local 
237 

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fun gen_add_axioms prep_axm raw_axms thy = thy > map_axioms (fn axioms => 
1526  239 
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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243 
in axioms' end); 
1526  244 

16291  245 
in 
246 

247 
val add_axioms = gen_add_axioms read_axm; 

248 
val add_axioms_i = gen_add_axioms cert_axm; 

249 

250 
end; 

1526  251 

252 

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253 

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(** add constant definitions **) 
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255 

9320  256 
(* overloading *) 
9280  257 

16291  258 
datatype overloading = Clean  Implicit  Useless; 
9320  259 

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fun overloading thy overloaded declT defT = 
16291  261 
let 
262 
val defT' = Term.incr_tvar (maxidx_of_typ declT + 1) (Type.varifyT defT); 

263 
in 

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if Sign.typ_instance thy (declT, defT') then Clean 
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265 
else if Sign.typ_instance thy (Type.strip_sorts declT, Type.strip_sorts defT') then Useless 
16291  266 
else if overloaded then Clean 
267 
else Implicit 

9280  268 
end; 
269 

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270 

16291  271 
(* dest_def *) 
272 

273 
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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276 

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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  279 
val (head, args) = Term.strip_comb lhs; 
280 
val (c, T) = Term.dest_Const head 

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281 
handle TERM _ => err "Head of lhs not a constant"; 
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282 

4141  283 
fun dest_free (Free (x, _)) = x 
284 
 dest_free (Const ("TYPE", Type ("itself", [TFree (x, _)]))) = x 

285 
 dest_free _ = raise Match; 

286 

16291  287 
val show_terms = commas_quote o map (Pretty.string_of_term pp); 
4141  288 
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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290 

16291  291 
val lhs_nofrees = filter (not o can dest_free) args; 
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292 
val lhs_dups = duplicates args; 
16291  293 
val rhs_extras = term_frees rhs > fold (remove op =) args; 
294 
val rhs_extrasT = term_tfrees rhs > fold (remove op =) (typ_tfrees T); 

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295 
in 
16291  296 
if not (null lhs_nofrees) then 
297 
err ("Nonvariables as arguments on lhs: " ^ show_terms lhs_nofrees) 

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298 
else if not (null lhs_dups) then 
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err ("Duplicate variables on lhs: " ^ show_frees lhs_dups) 
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300 
else if not (null rhs_extras) then 
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301 
err ("Extra variables on rhs: " ^ show_frees rhs_extras) 
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302 
else if not (null rhs_extrasT) then 
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err ("Extra type variables on rhs: " ^ show_tfrees rhs_extrasT) 
16291  304 
else if exists_Const (equal (c, T)) rhs then 
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305 
err ("Constant to be defined occurs on rhs") 
16291  306 
else ((c, T), rhs) 
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307 
end; 
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308 

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309 

16291  310 
(* check_def *) 
311 

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fun declare thy c defs = (* FIXME move to defs.ML *) 
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let val T = Sign.the_const_type thy c 
16291  314 
in if_none (try (Defs.declare defs) (c, T)) defs end; 
10494  315 

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fun check_def thy overloaded (bname, tm) defs = 
16291  317 
let 
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318 
val pp = Sign.pp thy; 
16291  319 

320 
fun err msg = error (Pretty.string_of (Pretty.chunks 

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321 
[Pretty.str msg, Pretty.block 
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322 
[Pretty.str ("The error(s) above occurred in definition " ^ quote bname ^ ":"), 
16291  323 
Pretty.fbrk, Pretty.quote (Pretty.term pp tm)]])); 
324 

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325 
fun prt_const (c, T) = 
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326 
[Pretty.str c, Pretty.str " ::", Pretty.brk 1, 
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327 
Pretty.quote (Pretty.typ pp (Type.freeze_type T))]; 
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328 
fun string_of_def const txt = 
16291  329 
[Pretty.block (Pretty.str "Definition of " :: pretty_const pp const), Pretty.str txt] 
330 
> Pretty.chunks > Pretty.string_of; 

9320  331 

16291  332 
val ((c, defT), rhs) = dest_def pp tm handle TERM (msg, _) => err msg; 
333 
val rhs_consts = Term.term_constsT rhs; 

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334 
val declT = Sign.the_const_type thy c; 
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335 

16291  336 
val _ = 
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337 
(case overloading thy overloaded declT defT of 
16291  338 
Clean => () 
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339 
 Implicit => warning (string_of_def (c, defT) 
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340 
("is strictly less general than the declared type (see " ^ quote bname ^ ")")) 
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341 
 Useless => err (Library.setmp show_sorts true (string_of_def (c, defT)) 
16291  342 
"imposes additional sort constraints on the declared type of the constant")); 
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343 

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344 
val decl_defs = defs > declare thy c > fold (declare thy) (map #1 rhs_consts); 
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345 
in 
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346 
Defs.define decl_defs (c, defT) (Sign.full_name thy bname) rhs_consts 
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347 
(* FIXME produce errors in defs.ML *) 
16291  348 
handle Defs.DEFS msg => err ("DEFS: " ^ msg) (* FIXME sys_error!? *) 
349 
 Defs.CIRCULAR path => err (defs_circular pp path) 

350 
 Defs.INFINITE_CHAIN path => err (defs_infinite_chain pp path) 

351 
 Defs.CLASH (_, def1, def2) => err (defs_clash def1 def2) 

352 
 Defs.FINAL const => err (defs_final pp const) 

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353 
end; 
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354 

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355 

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356 
(* add_defs(_i) *) 
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357 

16291  358 
local 
9320  359 

16291  360 
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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362 
thy 
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363 
> map_defs (fold (check_def thy overloaded) axms) 
9320  364 
> add_axioms_i axms 
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365 
end; 
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366 

16291  367 
in 
368 

369 
val add_defs_i = gen_add_defs cert_axm; 

370 
val add_defs = gen_add_defs read_axm; 

371 

372 
end; 

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373 

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374 

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375 
(* add_finals(_i) *) 
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376 

16291  377 
local 
378 

379 
fun gen_add_finals prep_term overloaded raw_terms thy = 

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380 
let 
16291  381 
fun finalize tm finals = 
382 
let 

383 
fun err msg = raise TERM (msg, [tm]); (* FIXME error!? *) 

384 
val (c, defT) = 

385 
(case tm of Const x => x 

386 
 Free _ => err "Attempt to finalize variable (or undeclared constant)" 

387 
 _ => err "Attempt to finalize nonconstant term"); 

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388 
val declT = Sign.the_const_type thy c 
16291  389 
handle TYPE (msg, _, _) => err msg; 
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390 
val _ = (* FIXME unify messages with defs *) 
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391 
(case overloading thy overloaded declT defT of 
16291  392 
Clean => () 
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393 
 Implicit => warning ("Finalizing " ^ quote c ^ 
16291  394 
" at a strictly less general type than declared") 
395 
 Useless => err "Sort constraints stronger than declared"); 

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396 
in Defs.finalize (if_none (try (Defs.declare finals) (c, declT)) finals) (c, defT) end; 
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397 
in thy > map_defs (fold finalize (map (prep_term thy) raw_terms)) end; 
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398 

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399 
fun read_term thy = Sign.simple_read_term thy TypeInfer.logicT; 
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400 
fun cert_term thy = #1 o Sign.certify_term (Sign.pp thy) thy; 
16291  401 

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402 
in 
16291  403 

404 
val add_finals = gen_add_finals read_term; 

405 
val add_finals_i = gen_add_finals cert_term; 

406 

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407 
end; 
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408 

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409 

3878  410 

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411 
(** add oracle **) 
3814  412 

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413 
fun add_oracle (bname, oracle) thy = thy > map_oracles (fn oracles => 
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414 
NameSpace.extend_table (Sign.naming_of thy) (oracles, [(bname, (oracle, stamp ()))]) 
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415 
handle Symtab.DUPS dups => err_dup_oras dups); 
3885  416 

1526  417 
end; 
418 

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419 
structure BasicTheory: BASIC_THEORY = Theory; 
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420 
open BasicTheory; 