author  wenzelm 
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child 24141  73baca986087 
permissions  rwrr 
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(* Title: Pure/context.ML 
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ID: $Id$ 

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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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development graph and history support. Generic proof contexts with 
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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 theory_name: theory > string 
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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 is_stale: theory > bool 
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val ProtoPureN: string 
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val PureN: string 
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val CPureN: string 
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val draftN: string 
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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 pretty_abbrev_thy: theory > Pretty.T 
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val str_of_thy: theory > string 
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val check_thy: theory > theory 
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val eq_thy: theory * theory > bool 
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val thy_ord: theory * theory > order 
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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 self_ref: theory > theory_ref 
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val deref: theory_ref > theory 
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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 pre_pure_thy: 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 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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(*delayed setup*) 
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val add_setup: (theory > theory) > unit 
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val setup: unit > theory > theory 
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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, (*identifier of this theory*) 
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ids: string Inttab.table, (*identifiers of ancestors*) 
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iids: string Inttab.table} * (*identifiers of intermediate 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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intermediates: theory list}; (*intermediate checkpoints*) 
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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 iids = {self = self, id = id, ids = ids, iids = iids}; 
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fun make_ancestry parents ancestors = {parents = parents, ancestors = ancestors}; 
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fun make_history name vers ints = {name = name, version = vers, intermediates = ints}; 
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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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(* 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, iids}, 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 iids, data, ancestry, history); 
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in r := thy'; thy' end; 
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(* names *) 
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val ProtoPureN = "ProtoPure"; 
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val PureN = "Pure"; 
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val CPureN = "CPure"; 
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val draftN = "#"; 
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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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20821  205 
fun exists_name name (thy as Theory ({id, ids, iids, ...}, _, _, _)) = 
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name = theory_name thy orelse 

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name = #2 id orelse 
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Inttab.exists (equal name o #2) ids orelse 
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Inttab.exists (equal name o #2) iids; 
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fun names_of (Theory ({id, ids, iids, ...}, _, _, _)) = 
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rev (#2 id :: Inttab.fold (cons o #2) iids (Inttab.fold (cons o #2) ids [])); 
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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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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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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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val str_of_thy = Pretty.str_of o pretty_abbrev_thy; 
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(* consistency *) 
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16719  232 
fun check_thy thy = 
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if is_stale thy then error ("Stale theory encountered:\n" ^ string_of_thy thy) 
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else thy; 
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fun check_ins id ids = 
16894  237 
if draft_id id orelse Inttab.defined ids (#1 id) then ids 
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else if Inttab.exists (equal (#2 id) o #2) ids then 
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error ("Different versions of theory component " ^ quote (#2 id)) 
17412  240 
else Inttab.update id ids; 
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fun check_insert intermediate id (ids, iids) = 
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let val ids' = check_ins id ids and iids' = check_ins id iids 
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in if intermediate then (ids, iids') else (ids', iids) end; 
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fun check_merge 
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(Theory ({id = id1, ids = ids1, iids = iids1, ...}, _, _, history1)) 
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(Theory ({id = id2, ids = ids2, iids = iids2, ...}, _, _, history2)) = 
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(Inttab.fold check_ins ids2 ids1, Inttab.fold check_ins iids2 iids1) 
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> check_insert (#version history1 > 0) id1 
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> check_insert (#version history2 > 0) id2; 
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16533  254 
(* equality and inclusion *) 
255 

16719  256 
val eq_thy = eq_id o pairself (#id o identity_of o check_thy); 
22603  257 
val thy_ord = int_ord o pairself (#1 o #id o identity_of); 
16533  258 

259 
fun proper_subthy 

16719  260 
(Theory ({id = (i, _), ...}, _, _, _), Theory ({ids, iids, ...}, _, _, _)) = 
16894  261 
Inttab.defined ids i orelse Inttab.defined iids i; 
16533  262 

263 
fun subthy thys = eq_thy thys orelse proper_subthy thys; 

264 

16594  265 
fun joinable (thy1, thy2) = subthy (thy1, thy2) orelse subthy (thy2, thy1); 
266 

16533  267 

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(* theory references *) 
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(*theory_ref provides a safe way to store dynamic references to a 
16533  271 
theory in external data structures  a plain theory value would 
272 
become stale as the self reference moves on*) 

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datatype theory_ref = TheoryRef of theory ref; 
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16719  276 
val self_ref = TheoryRef o the_self o check_thy; 
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fun deref (TheoryRef (ref thy)) = thy; 
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(* trivial merge *) 
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fun merge (thy1, thy2) = 
16719  283 
if eq_thy (thy1, thy2) then thy1 
284 
else if proper_subthy (thy2, thy1) then thy1 

285 
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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16719  290 
fun merge_refs (ref1, ref2) = 
291 
if ref1 = ref2 then ref1 

292 
else self_ref (merge (deref ref1, deref ref2)); 

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(** build theories **) 
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(* primitives *) 
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fun create_thy name self id ids iids data ancestry history = 
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let 
17756  302 
val {version, name = _, intermediates = _} = history; 
303 
val intermediate = version > 0; 

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val (ids', iids') = check_insert intermediate id (ids, iids); 
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val id' = (serial (), name); 
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val _ = check_insert intermediate id' (ids', iids'); 
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val identity' = make_identity self id' ids' iids'; 
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in vitalize (Theory (identity', data, ancestry, history)) end; 
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fun change_thy name f (thy as Theory ({self, id, ids, iids}, data, ancestry, history)) = 
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let 
16719  312 
val _ = check_thy 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) 
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else (NONE, extend_data data, 
18731  318 
make_ancestry [thy] (thy :: #ancestors ancestry)); 
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val data'' = f data'; 
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in create_thy name self' id ids iids data'' ancestry' history end; 
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fun name_thy name = change_thy name I; 
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val modify_thy = change_thy draftN; 
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val extend_thy = modify_thy I; 
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325 

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fun copy_thy (thy as Theory ({id, ids, iids, ...}, data, ancestry, history)) = 
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(check_thy thy; create_thy draftN NONE id ids iids (copy_data data) ancestry history); 
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val pre_pure_thy = create_thy draftN NONE (serial (), draftN) Inttab.empty Inttab.empty 
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Datatab.empty (make_ancestry [] []) (make_history ProtoPureN 0 []); 
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332 

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(* named theory nodes *) 
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334 

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fun merge_thys pp (thy1, thy2) = 
16533  336 
if exists_name CPureN thy1 <> exists_name CPureN thy2 then 
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337 
error "Cannot merge Pure and CPure developments" 
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338 
else 
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339 
let 
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340 
val (ids, iids) = check_merge thy1 thy2; 
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341 
val data = merge_data (pp thy1) (data_of thy1, data_of thy2); 
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342 
val ancestry = make_ancestry [] []; 
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343 
val history = make_history "" 0 []; 
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344 
in create_thy draftN NONE (serial (), draftN) ids iids data ancestry history end; 
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345 

16533  346 
fun maximal_thys thys = 
347 
thys > filter (fn thy => not (exists (fn thy' => proper_subthy (thy, thy')) thys)); 

348 

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349 
fun begin_thy pp name imports = 
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350 
if name = draftN then error ("Illegal theory name: " ^ quote draftN) 
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351 
else 
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352 
let 
16533  353 
val parents = 
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354 
maximal_thys (distinct eq_thy (map check_thy imports)); 
22603  355 
val ancestors = distinct eq_thy (parents @ maps ancestors_of parents); 
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356 
val Theory ({id, ids, iids, ...}, data, _, _) = 
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357 
(case parents of 
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358 
[] => error "No parent theories" 
16533  359 
 [thy] => extend_thy thy 
360 
 thy :: thys => Library.foldl (merge_thys pp) (thy, thys)); 

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361 
val ancestry = make_ancestry parents ancestors; 
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362 
val history = make_history name 0 []; 
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363 
in create_thy draftN NONE id ids iids data ancestry history end; 
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364 

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365 

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366 
(* undoable checkpoints *) 
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367 

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368 
fun checkpoint_thy thy = 
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369 
if not (is_draft thy) then thy 
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370 
else 
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371 
let 
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372 
val {name, version, intermediates} = history_of thy; 
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373 
val thy' as Theory (identity', data', ancestry', _) = 
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374 
name_thy (name ^ ":" ^ string_of_int version) thy; 
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375 
val history' = make_history name (version + 1) (thy' :: intermediates); 
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376 
in vitalize (Theory (identity', data', ancestry', history')) end; 
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377 

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378 
fun finish_thy thy = 
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379 
let 
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380 
val {name, version, intermediates} = history_of thy; 
16719  381 
val rs = map (the_self o check_thy) intermediates; 
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382 
val thy' as Theory ({self, id, ids, ...}, data', ancestry', _) = name_thy name thy; 
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383 
val identity' = make_identity self id ids Inttab.empty; 
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384 
val history' = make_history name 0 []; 
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385 
val thy'' = vitalize (Theory (identity', data', ancestry', history')); 
16533  386 
val _ = List.app (fn r => r := thy'') rs; 
387 
in thy'' end; 

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388 

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389 

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390 
(* theory data *) 
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391 

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392 
structure TheoryData = 
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393 
struct 
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394 

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395 
val declare = declare_theory_data; 
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396 

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397 
fun get k dest thy = 
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398 
dest ((case Datatab.lookup (data_of thy) k of 
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399 
SOME x => x 
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400 
 NONE => invoke_copy k (invoke_empty k))); (*adhoc value*) 
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401 

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402 
fun put k mk x = modify_thy (Datatab.update (k, mk x)); 
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403 

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404 
end; 
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405 

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406 

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407 

16533  408 
(*** proof context ***) 
409 

410 
(* datatype proof *) 

411 

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412 
datatype proof = Proof of theory_ref * Object.T Datatab.table; 
17060
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413 

cca2f3938443
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414 
fun theory_of_proof (Proof (thy_ref, _)) = deref thy_ref; 
16533  415 
fun data_of_proof (Proof (_, data)) = data; 
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416 
fun map_prf f (Proof (thy_ref, data)) = Proof (thy_ref, f data); 
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417 

16533  418 

419 
(* proof data kinds *) 

420 

421 
local 

422 

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423 
val kinds = ref (Datatab.empty: (theory > Object.T) Datatab.table); 
16533  424 

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425 
fun invoke_init k = 
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426 
(case Datatab.lookup (! kinds) k of 
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427 
SOME init => init 
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428 
 NONE => sys_error "Invalid proof data identifier"); 
16533  429 

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430 
fun init_data thy = 
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431 
Datatab.map' (fn k => fn _ => invoke_init k thy) (! kinds); 
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432 

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433 
fun init_new_data data thy = 
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434 
Datatab.merge (K true) (data, init_data thy); 
16533  435 

436 
in 

437 

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438 
fun init_proof thy = Proof (self_ref thy, init_data thy); 
16533  439 

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440 
fun transfer_proof thy' (prf as Proof (thy_ref, data)) = 
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441 
if not (subthy (deref thy_ref, thy')) then 
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442 
error "transfer proof context: not a super theory" 
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443 
else Proof (self_ref thy', init_new_data data thy'); 
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444 

16533  445 

446 
structure ProofData = 

447 
struct 

448 

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449 
fun declare init = 
16533  450 
let 
451 
val k = serial (); 

23944  452 
val _ = CRITICAL (fn () => change kinds (Datatab.update (k, init))); 
16533  453 
in k end; 
454 

455 
fun get k dest prf = 

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456 
dest (case Datatab.lookup (data_of_proof prf) k of 
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457 
SOME x => x 
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458 
 NONE => invoke_init k (theory_of_proof prf)); (*adhoc value*) 
16533  459 

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460 
fun put k mk x = map_prf (Datatab.update (k, mk x)); 
16533  461 

462 
end; 

463 

464 
end; 

465 

466 

18632  467 

16533  468 
(*** generic context ***) 
469 

18632  470 
datatype generic = Theory of theory  Proof of proof; 
471 

472 
fun cases f _ (Theory thy) = f thy 

473 
 cases _ g (Proof prf) = g prf; 

16533  474 

19678  475 
fun mapping f g = cases (Theory o f) (Proof o g); 
21660  476 
fun mapping_result f g = cases (apsnd Theory o f) (apsnd Proof o g); 
19678  477 

23595
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478 
val the_theory = cases I (fn _ => error "Illtyped context: theory expected"); 
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479 
val the_proof = cases (fn _ => error "Illtyped context: proof expected") I; 
16533  480 

18731  481 
fun map_theory f = Theory o f o the_theory; 
482 
fun map_proof f = Proof o f o the_proof; 

483 

484 
fun theory_map f = the_theory o f o Theory; 

485 
fun proof_map f = the_proof o f o Proof; 

18665  486 

18632  487 
val theory_of = cases I theory_of_proof; 
488 
val proof_of = cases init_proof I; 

16533  489 

22085
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490 

c138cfd500f7
ML context: full generic context, tuned signature;
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491 

22095
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492 
(** delayed theory setup **) 
22085
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493 

c138cfd500f7
ML context: full generic context, tuned signature;
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494 
local 
c138cfd500f7
ML context: full generic context, tuned signature;
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495 
val setup_fn = ref (I: theory > theory); 
c138cfd500f7
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496 
in 
23944  497 
fun add_setup f = CRITICAL (fn () => setup_fn := (! setup_fn #> f)); 
498 
fun setup () = CRITICAL (fn () => let val f = ! setup_fn in setup_fn := I; f end); 

22085
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499 
end; 
c138cfd500f7
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500 

6185  501 
end; 
502 

503 
structure BasicContext: BASIC_CONTEXT = Context; 

504 
open BasicContext; 

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505 

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506 

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507 

16533  508 
(*** typesafe interfaces for data declarations ***) 
509 

510 
(** theory data **) 

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511 

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512 
signature THEORY_DATA_ARGS = 
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513 
sig 
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514 
type T 
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515 
val empty: T 
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516 
val copy: T > T 
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517 
val extend: T > T 
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518 
val merge: Pretty.pp > T * T > T 
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519 
end; 
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520 

7eb6b6cbd166
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521 
signature THEORY_DATA = 
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522 
sig 
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523 
type T 
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524 
val get: theory > T 
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525 
val put: T > theory > theory 
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526 
val map: (T > T) > theory > theory 
22847
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527 
val init: theory > theory 
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528 
end; 
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529 

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functor TheoryDataFun(Data: THEORY_DATA_ARGS): THEORY_DATA = 
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struct 
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532 

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structure TheoryData = Context.TheoryData; 
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534 

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type T = Data.T; 
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exception Data of T; 
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537 

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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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(fn Data x => Data (Data.extend x)) 
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(fn pp => fn (Data x1, Data x2) => Data (Data.merge pp (x1, x2))); 
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543 

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val get = TheoryData.get kind (fn Data x => x); 
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val put = TheoryData.put kind Data; 
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fun map f thy = put (f (get thy)) thy; 
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547 

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fun init thy = map I thy; 
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549 

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end; 
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16533  552 

553 

554 
(** proof data **) 

555 

556 
signature PROOF_DATA_ARGS = 

557 
sig 

558 
type T 

559 
val init: theory > T 

560 
end; 

561 

562 
signature PROOF_DATA = 

563 
sig 

564 
type T 

565 
val get: Context.proof > T 

566 
val put: T > Context.proof > Context.proof 

567 
val map: (T > T) > Context.proof > Context.proof 

568 
end; 

569 

570 
functor ProofDataFun(Data: PROOF_DATA_ARGS): PROOF_DATA = 

571 
struct 

572 

573 
structure ProofData = Context.ProofData; 

574 

575 
type T = Data.T; 

576 
exception Data of T; 

577 

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val kind = ProofData.declare (Data o Data.init); 
16533  579 

580 
val get = ProofData.get kind (fn Data x => x); 

581 
val put = ProofData.put kind Data; 

582 
fun map f prf = put (f (get prf)) prf; 

583 

584 
end; 

585 

18632  586 

587 

588 
(** generic data **) 

589 

590 
signature GENERIC_DATA_ARGS = 

591 
sig 

592 
type T 

593 
val empty: T 

594 
val extend: T > T 

595 
val merge: Pretty.pp > T * T > T 

596 
end; 

597 

598 
signature GENERIC_DATA = 

599 
sig 

600 
type T 

601 
val get: Context.generic > T 

602 
val put: T > Context.generic > Context.generic 

603 
val map: (T > T) > Context.generic > Context.generic 

604 
end; 

605 

606 
functor GenericDataFun(Data: GENERIC_DATA_ARGS): GENERIC_DATA = 

607 
struct 

608 

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609 
structure ThyData = TheoryDataFun(open Data val copy = I); 
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structure PrfData = ProofDataFun(type T = Data.T val init = ThyData.get); 
18632  611 

612 
type T = Data.T; 

613 

614 
fun get (Context.Theory thy) = ThyData.get thy 

615 
 get (Context.Proof prf) = PrfData.get prf; 

616 

617 
fun put x (Context.Theory thy) = Context.Theory (ThyData.put x thy) 

618 
 put x (Context.Proof prf) = Context.Proof (PrfData.put x prf); 

619 

620 
fun map f ctxt = put (f (get ctxt)) ctxt; 

621 

622 
end; 

623 

16533  624 
(*hide private interface*) 
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structure Context: CONTEXT = Context; 
20297  626 

21518  627 
(*fake predeclarations*) 
20297  628 
structure Proof = struct type context = Context.proof end; 
21518  629 
structure ProofContext = 
630 
struct val theory_of = Context.theory_of_proof val init = Context.init_proof end; 