author  wenzelm 
Thu, 11 Dec 2008 20:31:45 +0100  
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child 29093  1cc36c0ec9eb 
permissions  rwrr 
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(* Title: Pure/context.ML 
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Author: Markus Wenzel, TU Muenchen 

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Generic theory contexts with unique identity, arbitrarily typed data, 
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monotonic development graph and history support. Generic proof 
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contexts with arbitrarily typed data. 
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*) 
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signature BASIC_CONTEXT = 

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sig 

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type theory 
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type theory_ref 
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exception THEORY of string * theory list 
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end; 
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signature CONTEXT = 

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sig 

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include BASIC_CONTEXT 

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(*theory context*) 
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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 theory_name: theory > string 
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val is_stale: theory > bool 
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val PureN: string 
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val is_draft: theory > bool 
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val reject_draft: theory > theory 
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val exists_name: string > theory > bool 
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val names_of: theory > string list 
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val pretty_thy: theory > Pretty.T 
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val string_of_thy: theory > string 
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val pprint_thy: theory > pprint_args > unit 
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val pprint_thy_ref: theory_ref > pprint_args > unit 
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val pretty_abbrev_thy: theory > Pretty.T 
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val str_of_thy: theory > string 
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val deref: theory_ref > theory 
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val check_thy: theory > theory_ref 
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val eq_thy: theory * theory > bool 
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val subthy: theory * theory > bool 
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val joinable: theory * theory > bool 
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val merge: theory * theory > theory 
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val merge_refs: theory_ref * theory_ref > theory_ref 
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val copy_thy: theory > theory 
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val checkpoint_thy: theory > theory 
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val finish_thy: theory > theory 
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val begin_thy: (theory > Pretty.pp) > string > theory list > theory 
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(*proof context*) 
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type proof 

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val theory_of_proof: proof > theory 

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val transfer_proof: theory > proof > proof 
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val init_proof: theory > proof 
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(*generic context*) 

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datatype generic = Theory of theory  Proof of proof 
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val cases: (theory > 'a) > (proof > 'a) > generic > 'a 

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val mapping: (theory > theory) > (proof > proof) > generic > generic 
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val mapping_result: (theory > 'a * theory) > (proof > 'a * proof) > generic > 'a * generic 
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val the_theory: generic > theory 
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val the_proof: generic > proof 

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val map_theory: (theory > theory) > generic > generic 
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val map_proof: (proof > proof) > generic > generic 

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val map_theory_result: (theory > 'a * theory) > generic > 'a * generic 
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val map_proof_result: (proof > 'a * proof) > generic > 'a * generic 

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val theory_map: (generic > generic) > theory > theory 
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val proof_map: (generic > generic) > proof > proof 

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val theory_of: generic > theory (*total*) 
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val proof_of: generic > proof (*total*) 

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(*thread data*) 
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val thread_data: unit > generic option 
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val the_thread_data: unit > generic 
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val set_thread_data: generic option > unit 
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val setmp_thread_data: generic option > ('a > 'b) > 'a > 'b 
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val >> : (generic > generic) > unit 
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val >>> : (generic > 'a * generic) > 'a 

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end; 
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signature PRIVATE_CONTEXT = 
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sig 
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include CONTEXT 
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structure TheoryData: 
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sig 
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val declare: Object.T > (Object.T > Object.T) > (Object.T > Object.T) > 
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(Pretty.pp > Object.T * Object.T > Object.T) > serial 
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val get: serial > (Object.T > 'a) > theory > 'a 
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val put: serial > ('a > Object.T) > 'a > theory > theory 
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end 
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structure ProofData: 
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val declare: (theory > Object.T) > serial 
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val get: serial > (Object.T > 'a) > proof > 'a 
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val put: serial > ('a > Object.T) > 'a > proof > proof 

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end 

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end; 
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structure Context: PRIVATE_CONTEXT = 
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struct 
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(*** theory context ***) 
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(** theory data **) 
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(* data kinds and access methods *) 
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(*private copy avoids potential conflict of table exceptions*) 
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structure Datatab = TableFun(type key = int val ord = int_ord); 
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local 
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type kind = 
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{empty: Object.T, 
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copy: Object.T > Object.T, 
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extend: Object.T > Object.T, 
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merge: Pretty.pp > Object.T * Object.T > Object.T}; 
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val kinds = ref (Datatab.empty: kind Datatab.table); 
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fun invoke f k = 
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(case Datatab.lookup (! kinds) k of 
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SOME kind => f kind 
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 NONE => sys_error "Invalid theory data identifier"); 
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in 
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fun invoke_empty k = invoke (K o #empty) k (); 
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val invoke_copy = invoke #copy; 
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val invoke_extend = invoke #extend; 
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fun invoke_merge pp = invoke (fn kind => #merge kind pp); 
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fun declare_theory_data empty copy extend merge = 
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let 
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val k = serial (); 
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val kind = {empty = empty, copy = copy, extend = extend, merge = merge}; 
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val _ = CRITICAL (fn () => change kinds (Datatab.update (k, kind))); 
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in k end; 
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val copy_data = Datatab.map' invoke_copy; 
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val extend_data = Datatab.map' invoke_extend; 
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fun merge_data pp = Datatab.join (invoke_merge pp) o pairself extend_data; 
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end; 
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(** datatype theory **) 
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datatype theory = 
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Theory of 
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(*identity*) 
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{self: theory ref option, (*dynamic self reference  follows theory changes*) 
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id: serial * (string * int), (*identifier/name of this theory node*) 
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ids: (string * int) Inttab.table} * (*ancestors and checkpoints*) 
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(*data*) 
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Object.T Datatab.table * 
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(*ancestry*) 
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{parents: theory list, (*immediate predecessors*) 
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ancestors: theory list} * (*all predecessors*) 
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(*history*) 
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{name: string, (*prospective name of finished theory*) 
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version: int}; (*checkpoint counter*) 
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exception THEORY of string * theory list; 
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fun rep_theory (Theory args) = args; 
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val identity_of = #1 o rep_theory; 
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val data_of = #2 o rep_theory; 
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val ancestry_of = #3 o rep_theory; 
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val history_of = #4 o rep_theory; 
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fun make_identity self id ids = {self = self, id = id, ids = ids}; 
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fun make_ancestry parents ancestors = {parents = parents, ancestors = ancestors}; 
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fun make_history name version = {name = name, version = version}; 
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val the_self = the o #self o identity_of; 
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val parents_of = #parents o ancestry_of; 
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val ancestors_of = #ancestors o ancestry_of; 
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val theory_name = #name o history_of; 
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176 

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177 

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(* staleness *) 
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16533  180 
fun eq_id ((i: int, _), (j, _)) = (i = j); 
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fun is_stale 
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(Theory ({self = SOME (ref (Theory ({id = id', ...}, _, _, _))), id, ...}, _, _, _)) = 
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not (eq_id (id, id')) 
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 is_stale (Theory ({self = NONE, ...}, _, _, _)) = true; 
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186 

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fun vitalize (thy as Theory ({self = SOME r, ...}, _, _, _)) = (r := thy; thy) 
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 vitalize (thy as Theory ({self = NONE, id, ids}, data, ancestry, history)) = 
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let 
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val r = ref thy; 
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val thy' = Theory (make_identity (SOME r) id ids, data, ancestry, history); 
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in r := thy'; thy' end; 
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193 

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194 

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(* names *) 
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val PureN = "Pure"; 
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198 

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val draftN = "#"; 
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val draft_name = (draftN, ~1); 
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201 

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fun draft_id (_, (name, _)) = (name = draftN); 
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val is_draft = draft_id o #id o identity_of; 
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28317  205 
fun reject_draft thy = 
206 
if is_draft thy then raise THEORY ("Illegal draft theory  stable checkpoint required", [thy]) 

207 
else thy; 

208 

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fun exists_name name (thy as Theory ({id = (_, (a, _)), ids, ...}, _, _, _)) = 
20821  210 
name = theory_name thy orelse 
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name = a orelse 
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Inttab.exists (fn (_, (b, _)) => b = name) ids; 
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fun name_of (a, ~1) = a 
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 name_of (a, i) = a ^ ":" ^ string_of_int i; 
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216 

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fun names_of (Theory ({id = (_, a), ids, ...}, _, _, _)) = 
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rev (name_of a :: Inttab.fold (fn (_, (b, ~1)) => cons b  _ => I) ids []); 
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219 

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fun pretty_thy thy = 
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Pretty.str_list "{" "}" (names_of thy @ (if is_stale thy then ["!"] else [])); 
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222 

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val string_of_thy = Pretty.string_of o pretty_thy; 
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val pprint_thy = Pretty.pprint o pretty_thy; 
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225 

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fun pretty_abbrev_thy thy = 
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let 
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val names = names_of thy; 
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val n = length names; 
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val abbrev = if n > 5 then "..." :: List.drop (names, n  5) else names; 
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in Pretty.str_list "{" "}" abbrev end; 
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232 

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val str_of_thy = Pretty.str_of o pretty_abbrev_thy; 
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234 

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235 

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(* theory references *) 
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237 

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(*theory_ref provides a safe way to store dynamic references to a 
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theory in external data structures  a plain theory value would 
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become stale as the self reference moves on*) 
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241 

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datatype theory_ref = TheoryRef of theory ref; 
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243 

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fun deref (TheoryRef (ref thy)) = thy; 
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245 

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fun check_thy thy = (*threadsafe version*) 
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let val thy_ref = TheoryRef (the_self thy) in 
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if is_stale thy then error ("Stale theory encountered:\n" ^ string_of_thy thy) 
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else thy_ref 
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250 
end; 
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251 

27341  252 
val pprint_thy_ref = Pretty.pprint o pretty_thy o deref; 
253 

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254 

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255 
(* consistency *) 
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256 

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fun check_insert id ids = 
16894  258 
if draft_id id orelse Inttab.defined ids (#1 id) then ids 
28375  259 
else if Inttab.exists (fn (_, a) => a = #2 id) ids then 
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error ("Different versions of theory component " ^ quote (name_of (#2 id))) 
17412  261 
else Inttab.update id ids; 
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262 

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fun check_merge 
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(Theory ({id = id1, ids = ids1, ...}, _, _, _)) 
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(Theory ({id = id2, ids = ids2, ...}, _, _, _)) = 
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Inttab.fold check_insert ids2 ids1 
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> check_insert id1 
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> check_insert id2; 
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269 

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16533  271 
(* equality and inclusion *) 
272 

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val eq_thy = eq_id o pairself (#id o identity_of); 
16533  274 

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fun proper_subthy (Theory ({id, ...}, _, _, _), Theory ({ids, ...}, _, _, _)) = 
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Inttab.defined ids (#1 id); 
16533  277 

278 
fun subthy thys = eq_thy thys orelse proper_subthy thys; 

279 

16594  280 
fun joinable (thy1, thy2) = subthy (thy1, thy2) orelse subthy (thy2, thy1); 
281 

16533  282 

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(* trivial merge *) 
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284 

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285 
fun merge (thy1, thy2) = 
16719  286 
if eq_thy (thy1, thy2) then thy1 
287 
else if proper_subthy (thy2, thy1) then thy1 

288 
else if proper_subthy (thy1, thy2) then thy2 

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else (check_merge thy1 thy2; 
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error (cat_lines ["Attempt to perform nontrivial merge of theories:", 
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str_of_thy thy1, str_of_thy thy2])); 
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292 

16719  293 
fun merge_refs (ref1, ref2) = 
294 
if ref1 = ref2 then ref1 

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else check_thy (merge (deref ref1, deref ref2)); 
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296 

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297 

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298 

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(** build theories **) 
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300 

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(* primitives *) 
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302 

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fun create_thy name self id ids data ancestry history = 
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let 
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val {version, ...} = history; 
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val ids' = check_insert id ids; 
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val id' = (serial (), name); 
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val _ = check_insert id' ids'; 
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val identity' = make_identity self id' ids'; 
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in vitalize (Theory (identity', data, ancestry, history)) end; 
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311 

24369  312 
fun change_thy name f thy = 
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let 
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val Theory ({self, id, ids}, data, ancestry, history) = thy; 
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val (self', data', ancestry') = 
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if is_draft thy then (self, data, ancestry) (*destructive change!*) 
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else if #version history > 0 
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then (NONE, copy_data data, ancestry) 
24369  319 
else (NONE, extend_data data, make_ancestry [thy] (thy :: #ancestors ancestry)); 
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val data'' = f data'; 
24369  321 
val thy' = NAMED_CRITICAL "theory" (fn () => 
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(check_thy thy; create_thy name self' id ids data'' ancestry' history)); 
24369  323 
in thy' end; 
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324 

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fun name_thy name = change_thy name I; 
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val modify_thy = change_thy draft_name; 
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val extend_thy = modify_thy I; 
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328 

24369  329 
fun copy_thy thy = 
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330 
let 
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val Theory ({id, ids, ...}, data, ancestry, history) = thy; 
24369  332 
val data' = copy_data data; 
333 
val thy' = NAMED_CRITICAL "theory" (fn () => 

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334 
(check_thy thy; create_thy draft_name NONE id ids data' ancestry history)); 
24369  335 
in thy' end; 
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336 

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val pre_pure_thy = create_thy draft_name NONE (serial (), draft_name) Inttab.empty 
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Datatab.empty (make_ancestry [] []) (make_history PureN 0); 
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339 

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340 

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341 
(* named theory nodes *) 
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342 

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343 
fun merge_thys pp (thy1, thy2) = 
26957  344 
let 
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val ids = check_merge thy1 thy2; 
26957  346 
val data = merge_data (pp thy1) (data_of thy1, data_of thy2); 
347 
val ancestry = make_ancestry [] []; 

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val history = make_history "" 0; 
26957  349 
val thy' = NAMED_CRITICAL "theory" (fn () => 
350 
(check_thy thy1; check_thy thy2; 

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351 
create_thy draft_name NONE (serial (), draft_name) ids data ancestry history)); 
26957  352 
in thy' end; 
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353 

16533  354 
fun maximal_thys thys = 
28617  355 
thys > filter_out (fn thy => exists (fn thy' => proper_subthy (thy, thy')) thys); 
16533  356 

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357 
fun begin_thy pp name imports = 
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358 
if name = draftN then error ("Illegal theory name: " ^ quote draftN) 
24369  359 
else 
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360 
let 
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361 
val parents = maximal_thys (distinct eq_thy imports); 
22603  362 
val ancestors = distinct eq_thy (parents @ maps ancestors_of parents); 
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val Theory ({id, ids, ...}, data, _, _) = 
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364 
(case parents of 
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365 
[] => error "No parent theories" 
16533  366 
 [thy] => extend_thy thy 
367 
 thy :: thys => Library.foldl (merge_thys pp) (thy, thys)); 

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val ancestry = make_ancestry parents ancestors; 
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369 
val history = make_history name 0; 
24369  370 
val thy' = NAMED_CRITICAL "theory" (fn () => 
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371 
(map check_thy imports; create_thy draft_name NONE id ids data ancestry history)); 
24369  372 
in thy' end; 
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373 

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374 

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375 
(* persistent checkpoints *) 
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376 

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377 
fun checkpoint_thy thy = 
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378 
if not (is_draft thy) then thy 
24369  379 
else 
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380 
let 
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381 
val {name, version} = history_of thy; 
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382 
val thy' as Theory (identity', data', ancestry', _) = name_thy (name, version) thy; 
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383 
val history' = make_history name (version + 1); 
24369  384 
val thy'' = NAMED_CRITICAL "theory" (fn () => 
385 
(check_thy thy'; vitalize (Theory (identity', data', ancestry', history')))); 

386 
in thy'' end; 

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387 

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388 
fun finish_thy thy = NAMED_CRITICAL "theory" (fn () => 
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389 
let 
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390 
val name = theory_name thy; 
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391 
val Theory (identity', data', ancestry', _) = name_thy (name, ~1) thy; 
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392 
val history' = make_history name 0; 
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393 
val thy' = vitalize (Theory (identity', data', ancestry', history')); 
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394 
in thy' end); 
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395 

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396 

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397 
(* theory data *) 
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398 

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399 
structure TheoryData = 
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400 
struct 
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401 

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402 
val declare = declare_theory_data; 
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403 

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404 
fun get k dest thy = 
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405 
dest ((case Datatab.lookup (data_of thy) k of 
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406 
SOME x => x 
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407 
 NONE => invoke_copy k (invoke_empty k))); (*adhoc value*) 
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408 

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409 
fun put k mk x = modify_thy (Datatab.update (k, mk x)); 
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410 

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411 
end; 
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412 

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413 

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414 

16533  415 
(*** proof context ***) 
416 

417 
(* datatype proof *) 

418 

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419 
datatype proof = Prf of Object.T Datatab.table * theory_ref; 
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420 

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421 
fun theory_of_proof (Prf (_, thy_ref)) = deref thy_ref; 
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422 
fun data_of_proof (Prf (data, _)) = data; 
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423 
fun map_prf f (Prf (data, thy_ref)) = Prf (f data, thy_ref); 
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424 

16533  425 

426 
(* proof data kinds *) 

427 

428 
local 

429 

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430 
val kinds = ref (Datatab.empty: (theory > Object.T) Datatab.table); 
16533  431 

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432 
fun invoke_init k = 
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433 
(case Datatab.lookup (! kinds) k of 
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434 
SOME init => init 
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435 
 NONE => sys_error "Invalid proof data identifier"); 
16533  436 

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437 
fun init_data thy = 
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438 
Datatab.map' (fn k => fn _ => invoke_init k thy) (! kinds); 
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439 

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440 
fun init_new_data data thy = 
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441 
Datatab.merge (K true) (data, init_data thy); 
16533  442 

443 
in 

444 

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445 
fun init_proof thy = Prf (init_data thy, check_thy thy); 
16533  446 

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447 
fun transfer_proof thy' (prf as Prf (data, thy_ref)) = 
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448 
let 
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449 
val thy = deref thy_ref; 
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450 
val _ = subthy (thy, thy') orelse error "transfer proof context: not a super theory"; 
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451 
val _ = check_thy thy; 
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452 
val data' = init_new_data data thy'; 
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453 
val thy_ref' = check_thy thy'; 
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454 
in Prf (data', thy_ref') end; 
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455 

16533  456 

457 
structure ProofData = 

458 
struct 

459 

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460 
fun declare init = 
16533  461 
let 
462 
val k = serial (); 

23944  463 
val _ = CRITICAL (fn () => change kinds (Datatab.update (k, init))); 
16533  464 
in k end; 
465 

466 
fun get k dest prf = 

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467 
dest (case Datatab.lookup (data_of_proof prf) k of 
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468 
SOME x => x 
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469 
 NONE => invoke_init k (theory_of_proof prf)); (*adhoc value*) 
16533  470 

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471 
fun put k mk x = map_prf (Datatab.update (k, mk x)); 
16533  472 

473 
end; 

474 

475 
end; 

476 

477 

18632  478 

16533  479 
(*** generic context ***) 
480 

18632  481 
datatype generic = Theory of theory  Proof of proof; 
482 

483 
fun cases f _ (Theory thy) = f thy 

484 
 cases _ g (Proof prf) = g prf; 

16533  485 

19678  486 
fun mapping f g = cases (Theory o f) (Proof o g); 
21660  487 
fun mapping_result f g = cases (apsnd Theory o f) (apsnd Proof o g); 
19678  488 

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489 
val the_theory = cases I (fn _ => error "Illtyped context: theory expected"); 
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490 
val the_proof = cases (fn _ => error "Illtyped context: proof expected") I; 
16533  491 

18731  492 
fun map_theory f = Theory o f o the_theory; 
493 
fun map_proof f = Proof o f o the_proof; 

494 

26486  495 
fun map_theory_result f = apsnd Theory o f o the_theory; 
496 
fun map_proof_result f = apsnd Proof o f o the_proof; 

497 

18731  498 
fun theory_map f = the_theory o f o Theory; 
499 
fun proof_map f = the_proof o f o Proof; 

18665  500 

18632  501 
val theory_of = cases I theory_of_proof; 
502 
val proof_of = cases init_proof I; 

16533  503 

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504 

c138cfd500f7
ML context: full generic context, tuned signature;
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505 

26413
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506 
(** thread data **) 
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507 

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508 
local val tag = Universal.tag () : generic option Universal.tag in 
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509 

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510 
fun thread_data () = 
28122  511 
(case Thread.getLocal tag of 
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512 
SOME (SOME context) => SOME context 
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513 
 _ => NONE); 
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514 

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515 
fun the_thread_data () = 
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516 
(case thread_data () of 
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517 
SOME context => context 
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518 
 _ => error "Unknown context"); 
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519 

28122  520 
fun set_thread_data context = Thread.setLocal (tag, context); 
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521 
fun setmp_thread_data context = Library.setmp_thread_data tag (thread_data ()) context; 
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522 

26428  523 
end; 
524 

525 
fun >>> f = 

526 
let 

26463  527 
val (res, context') = f (the_thread_data ()); 
528 
val _ = set_thread_data (SOME context'); 

26428  529 
in res end; 
530 

26421  531 
nonfix >>; 
26463  532 
fun >> f = >>> (fn context => ((), f context)); 
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533 

26428  534 
val _ = set_thread_data (SOME (Theory pre_pure_thy)); 
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6185  536 
end; 
537 

538 
structure BasicContext: BASIC_CONTEXT = Context; 

539 
open BasicContext; 

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540 

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541 

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542 

16533  543 
(*** typesafe interfaces for data declarations ***) 
544 

545 
(** theory data **) 

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546 

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547 
signature THEORY_DATA_ARGS = 
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sig 
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549 
type T 
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val empty: T 
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val copy: T > T 
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val extend: T > T 
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val merge: Pretty.pp > T * T > T 
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554 
end; 
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555 

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556 
signature THEORY_DATA = 
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557 
sig 
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558 
type T 
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val get: theory > T 
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val put: T > theory > theory 
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val map: (T > T) > theory > theory 
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val init: theory > theory 
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563 
end; 
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564 

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565 
functor TheoryDataFun(Data: THEORY_DATA_ARGS): THEORY_DATA = 
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struct 
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567 

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568 
structure TheoryData = Context.TheoryData; 
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569 

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570 
type T = Data.T; 
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571 
exception Data of T; 
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572 

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573 
val kind = TheoryData.declare 
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(Data Data.empty) 
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(fn Data x => Data (Data.copy x)) 
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576 
(fn Data x => Data (Data.extend x)) 
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577 
(fn pp => fn (Data x1, Data x2) => Data (Data.merge pp (x1, x2))); 
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578 

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579 
val get = TheoryData.get kind (fn Data x => x); 
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val put = TheoryData.put kind Data; 
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581 
fun map f thy = put (f (get thy)) thy; 
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582 

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583 
fun init thy = map I thy; 
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584 

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585 
end; 
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586 

16533  587 

588 

589 
(** proof data **) 

590 

591 
signature PROOF_DATA_ARGS = 

592 
sig 

593 
type T 

594 
val init: theory > T 

595 
end; 

596 

597 
signature PROOF_DATA = 

598 
sig 

599 
type T 

600 
val get: Context.proof > T 

601 
val put: T > Context.proof > Context.proof 

602 
val map: (T > T) > Context.proof > Context.proof 

603 
end; 

604 

605 
functor ProofDataFun(Data: PROOF_DATA_ARGS): PROOF_DATA = 

606 
struct 

607 

608 
structure ProofData = Context.ProofData; 

609 

610 
type T = Data.T; 

611 
exception Data of T; 

612 

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613 
val kind = ProofData.declare (Data o Data.init); 
16533  614 

615 
val get = ProofData.get kind (fn Data x => x); 

616 
val put = ProofData.put kind Data; 

617 
fun map f prf = put (f (get prf)) prf; 

618 

619 
end; 

620 

18632  621 

622 

623 
(** generic data **) 

624 

625 
signature GENERIC_DATA_ARGS = 

626 
sig 

627 
type T 

628 
val empty: T 

629 
val extend: T > T 

630 
val merge: Pretty.pp > T * T > T 

631 
end; 

632 

633 
signature GENERIC_DATA = 

634 
sig 

635 
type T 

636 
val get: Context.generic > T 

637 
val put: T > Context.generic > Context.generic 

638 
val map: (T > T) > Context.generic > Context.generic 

639 
end; 

640 

641 
functor GenericDataFun(Data: GENERIC_DATA_ARGS): GENERIC_DATA = 

642 
struct 

643 

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644 
structure ThyData = TheoryDataFun(open Data val copy = I); 
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645 
structure PrfData = ProofDataFun(type T = Data.T val init = ThyData.get); 
18632  646 

647 
type T = Data.T; 

648 

649 
fun get (Context.Theory thy) = ThyData.get thy 

650 
 get (Context.Proof prf) = PrfData.get prf; 

651 

652 
fun put x (Context.Theory thy) = Context.Theory (ThyData.put x thy) 

653 
 put x (Context.Proof prf) = Context.Proof (PrfData.put x prf); 

654 

655 
fun map f ctxt = put (f (get ctxt)) ctxt; 

656 

657 
end; 

658 

16533  659 
(*hide private interface*) 
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660 
structure Context: CONTEXT = Context; 
20297  661 

21518  662 
(*fake predeclarations*) 
20297  663 
structure Proof = struct type context = Context.proof end; 
21518  664 
structure ProofContext = 
665 
struct val theory_of = Context.theory_of_proof val init = Context.init_proof end; 