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6185  1 
(* 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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graphbased development. Implicit theory context in ML. 
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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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val context: theory > unit 
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val the_context: unit > theory 

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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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exception DATA_FAIL of exn * string 
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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: string > theory > theory 
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val eq_thy: theory * theory > bool 
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val subthy: theory * theory > bool 
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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 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 theory_data: theory > string list 
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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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(*ML theory context*) 
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val get_context: unit > theory option 
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val set_context: theory option > unit 

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val reset_context: unit > unit 

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val setmp: theory option > ('a > 'b) > 'a > 'b 
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val pass: theory option > ('a > 'b) > 'a > 'b * theory option 
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val pass_theory: theory > ('a > 'b) > 'a > 'b * theory 

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val save: ('a > 'b) > 'a > 'b 
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val >> : (theory > theory) > unit 
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val ml_output: (string > unit) * (string > unit) 
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val use_mltext: string > bool > theory option > unit 
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val use_mltext_theory: string > bool > theory > theory 
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val use_let: string > string > string > theory > theory 
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val add_setup: (theory > theory) list > unit 
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val setup: unit > (theory > theory) list 

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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: string > 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 init: serial > theory > theory 
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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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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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exception DATA_FAIL of exn * string; 
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local 
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type kind = 
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{name: string, 
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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 (Inttab.empty: kind Inttab.table); 
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fun invoke meth_name meth_fn k = 
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(case Inttab.lookup (! kinds, k) of 
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SOME kind => meth_fn kind > transform_failure (fn exn => 
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DATA_FAIL (exn, "Theory data method " ^ #name kind ^ "." ^ meth_name ^ " failed")) 
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 NONE => sys_error ("Invalid theory data identifier " ^ string_of_int k)); 
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in 
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fun invoke_name k = invoke "name" (K o #name) k (); 
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fun invoke_empty k = invoke "empty" (K o #empty) k (); 
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val invoke_copy = invoke "copy" #copy; 
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val invoke_extend = invoke "extend" #extend; 
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fun invoke_merge pp = invoke "merge" (fn kind => #merge kind pp); 
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fun declare_theory_data name e cp ext mrg = 
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let 
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val k = serial (); 
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val kind = {name = name, empty = e, copy = cp, extend = ext, merge = mrg}; 
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val _ = conditional (Inttab.exists (equal name o #name o #2) (! kinds)) (fn () => 
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warning ("Duplicate declaration of theory data " ^ quote name)); 
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val _ = kinds := Inttab.update ((k, kind), ! kinds); 
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in k end; 
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val copy_data = Inttab.map' invoke_copy; 
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val extend_data = Inttab.map' invoke_extend; 
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fun merge_data pp = Inttab.join (SOME oo 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 Inttab.table * (*record of arbitrarily typed data*) 
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(*ancestry of graph development*) 
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{parents: theory list, (*immediate predecessors*) 
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ancestors: theory list} * (*all predecessors*) 
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(*history of linear development*) 
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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 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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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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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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fun exists_name name (Theory ({id, ids, iids, ...}, _, _, _)) = 
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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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fun check_thy pos thy = 
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if is_stale thy then 
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raise TERM ("Stale theory encountered (in " ^ pos ^ "):\n" ^ string_of_thy thy, []) 
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else thy; 
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fun check_ins id ids = 
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if draft_id id orelse is_some (Inttab.lookup (ids, #1 id)) then ids 
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else if Inttab.exists (equal (#2 id) o #2) ids then 
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raise TERM ("Different versions of theory component " ^ quote (#2 id), []) 
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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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(* theory references *) 
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(*theory_ref provides a safe way to store dynamic references to a 
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theory  a plain theory value would become stale as the self 
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reference moves on*) 
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datatype theory_ref = TheoryRef of theory ref; 
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254 

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val self_ref = TheoryRef o the o #self o identity_of o check_thy "Context.self_ref"; 
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fun deref (TheoryRef (ref thy)) = thy; 
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(* equality and inclusion *) (* FIXME proper_subthy; no subthy_internal *) 
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local 
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fun exists_ids (Theory ({id, ids, iids, ...}, _, _, _)) (i, _) = 
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i = #1 id orelse 
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is_some (Inttab.lookup (ids, i)) orelse 
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is_some (Inttab.lookup (iids, i)); 
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fun member_ids (Theory ({id, ...}, _, _, _), thy) = exists_ids thy id; 
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fun subset_ids (Theory ({id, ids, iids, ...}, _, _, _), thy) = 
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exists_ids thy id andalso 
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Inttab.forall (exists_ids thy) ids andalso 
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Inttab.forall (exists_ids thy) iids; 
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in 
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val eq_thy = eq_id o pairself (#id o identity_of o check_thy "Context.eq_thy"); 
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fun subthy thys = eq_thy thys orelse member_ids thys; 
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fun subthy_internal thys = eq_thy thys orelse subset_ids thys; 
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end; 
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(* trivial merge *) 
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fun merge (thy1, thy2) = 
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if subthy (thy2, thy1) then thy1 
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else if subthy (thy1, thy2) then thy2 
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else (check_merge thy1 thy2; 
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raise TERM (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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fun merge_refs (ref1, ref2) = 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 
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val intermediate = #version history > 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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309 

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fun change_thy name f (thy as Theory ({self, id, ids, iids}, data, ancestry, history)) = 
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let 
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val _ = check_thy "Context.change_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, 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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324 

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fun copy_thy (thy as Theory ({id, ids, iids, ...}, data, ancestry, history)) = 
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(check_thy "Context.copy_thy" thy; 
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create_thy draftN NONE id ids iids (copy_data data) ancestry history); 
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328 

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val pre_pure_thy = create_thy draftN NONE (serial (), draftN) Inttab.empty Inttab.empty 
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330 
Inttab.empty (make_ancestry [] []) (make_history ProtoPureN 0 []); 
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331 

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332 

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333 
(* named theory nodes *) 
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334 

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335 
fun merge_thys pp (thy1, thy2) = 
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if subthy_internal (thy2, thy1) then thy1 
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337 
else if subthy_internal (thy1, thy2) then thy2 
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338 
else if exists_name CPureN thy1 <> exists_name CPureN thy2 then 
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339 
error "Cannot merge Pure and CPure developments" 
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340 
else 
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341 
let 
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342 
val (ids, iids) = check_merge thy1 thy2; 
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val data = merge_data (pp thy1) (data_of thy1, data_of thy2); 
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344 
val ancestry = make_ancestry [] []; 
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345 
val history = make_history "" 0 []; 
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in create_thy draftN NONE (serial (), draftN) ids iids data ancestry history end; 
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347 

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348 
fun begin_thy pp name imports = 
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349 
if name = draftN then error ("Illegal theory name: " ^ quote draftN) 
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350 
else 
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351 
let 
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352 
val parents = gen_distinct eq_thy imports; (* FIXME maximals *) 
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353 
val ancestors = gen_distinct eq_thy (parents @ List.concat (map ancestors_of parents)); 
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354 
val Theory ({id, ids, iids, ...}, data, _, _) = 
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355 
(case parents of 
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356 
[] => error "No parent theories" 
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357 
 thy :: thys => extend_thy (Library.foldl (merge_thys pp) (thy, thys))); 
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358 
val ancestry = make_ancestry parents ancestors; 
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359 
val history = make_history name 0 []; 
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360 
in create_thy draftN NONE id ids iids data ancestry history end; 
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361 

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362 

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363 
(* undoable checkpoints *) 
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364 

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365 
fun checkpoint_thy thy = 
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366 
if not (is_draft thy) then thy 
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367 
else 
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368 
let 
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369 
val {name, version, intermediates} = history_of thy; 
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370 
val thy' as Theory (identity', data', ancestry', _) = 
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371 
name_thy (name ^ ":" ^ string_of_int version) thy; 
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372 
val history' = make_history name (version + 1) (thy' :: intermediates); 
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373 
in vitalize (Theory (identity', data', ancestry', history')) end; 
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374 

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375 
fun finish_thy thy = 
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376 
let 
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377 
val {name, version, intermediates} = history_of thy; 
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378 
val rs = map (the o #self o identity_of o check_thy "Context.finish_thy") intermediates; 
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379 
val thy' as Theory ({self, id, ids, ...}, data', ancestry', _) = name_thy name thy; 
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380 
val identity' = make_identity self id ids Inttab.empty; 
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381 
val history' = make_history name 0 []; 
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382 
val thy'' = vitalize (Theory (identity', data', ancestry', history')); 
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383 
in List.app (fn r => r := thy'') rs; thy'' end; 
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384 

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385 

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386 
(* theory data *) 
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387 

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388 
fun theory_data thy = 
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389 
map invoke_name (Inttab.keys (data_of thy)) 
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390 
> map (rpair ()) > Symtab.make_multi > Symtab.dest 
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391 
> map (apsnd length) 
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392 
> map (fn (name, 1) => name  (name, n) => name ^ enclose "[" "]" (string_of_int n)); 
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393 

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394 
structure TheoryData = 
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395 
struct 
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396 

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397 
val declare = declare_theory_data; 
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398 

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399 
fun get k dest thy = 
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400 
(case Inttab.lookup (data_of thy, k) of 
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401 
SOME x => (dest x handle Match => 
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402 
error ("Failed to access theory data " ^ quote (invoke_name k))) 
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403 
 NONE => error ("Uninitialized theory data " ^ quote (invoke_name k))); 
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404 

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405 
fun put k mk x = modify_thy (curry Inttab.update (k, mk x)); 
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406 
fun init k = put k I (invoke_empty k); 
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407 

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408 
end; 
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409 

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410 

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411 

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412 
(** ML theory context **) 
6185  413 

414 
local 

15531  415 
val current_theory = ref (NONE: theory option); 
6185  416 
in 
417 
fun get_context () = ! current_theory; 

418 
fun set_context opt_thy = current_theory := opt_thy; 

6238  419 
fun setmp opt_thy f x = Library.setmp current_theory opt_thy f x; 
6185  420 
end; 
421 

422 
fun the_context () = 

423 
(case get_context () of 

15531  424 
SOME thy => thy 
6185  425 
 _ => error "Unknown theory context"); 
426 

15531  427 
fun context thy = set_context (SOME thy); 
428 
fun reset_context () = set_context NONE; 

6185  429 

6310  430 
fun pass opt_thy f x = 
6261  431 
setmp opt_thy (fn x => let val y = f x in (y, get_context ()) end) x; 
432 

6310  433 
fun pass_theory thy f x = 
15531  434 
(case pass (SOME thy) f x of 
435 
(y, SOME thy') => (y, thy') 

436 
 (_, NONE) => error "Lost theory context in ML"); 

6261  437 

6238  438 
fun save f x = setmp (get_context ()) f x; 
439 

6185  440 

441 
(* map context *) 

442 

443 
nonfix >>; 

15531  444 
fun >> f = set_context (SOME (f (the_context ()))); 
6185  445 

446 

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447 
(* use ML text *) 
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448 

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449 
val ml_output = (writeln, error_msg); 
14976  450 

451 
fun use_output verb txt = use_text ml_output verb (Symbol.escape txt); 

10914  452 

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453 
fun use_mltext txt verb opt_thy = setmp opt_thy (fn () => use_output verb txt) (); 
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454 
fun use_mltext_theory txt verb thy = #2 (pass_theory thy (use_output verb) txt); 
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455 

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456 
fun use_context txt = use_mltext_theory ("Context.>> (" ^ txt ^ ");") false; 
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457 

9586  458 
fun use_let bind body txt = 
459 
use_context ("let " ^ bind ^ " = " ^ txt ^ " in\n" ^ body ^ " end"); 

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460 

15801  461 

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462 
(* delayed theory setup *) 
15801  463 

464 
local 

465 
val setup_fns = ref ([]: (theory > theory) list); 

466 
in 

467 
fun add_setup fns = setup_fns := ! setup_fns @ fns; 

468 
fun setup () = let val fns = ! setup_fns in setup_fns := []; fns end; 

469 
end; 

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470 

6185  471 
end; 
472 

473 
structure BasicContext: BASIC_CONTEXT = Context; 

474 
open BasicContext; 

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475 

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476 

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477 

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478 
(*** typesafe interface for theory data ***) 
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479 

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480 
signature THEORY_DATA_ARGS = 
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481 
sig 
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482 
val name: string 
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483 
type T 
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484 
val empty: T 
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485 
val copy: T > T 
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486 
val extend: T > T 
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487 
val merge: Pretty.pp > T * T > T 
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488 
val print: theory > T > unit 
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489 
end; 
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490 

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491 
signature THEORY_DATA = 
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492 
sig 
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493 
type T 
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494 
val init: theory > theory 
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495 
val print: theory > unit 
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496 
val get: theory > T 
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497 
val get_sg: theory > T (*obsolete*) 
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498 
val put: T > theory > theory 
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499 
val map: (T > T) > theory > theory 
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500 
end; 
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501 

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502 
functor TheoryDataFun(Data: THEORY_DATA_ARGS): THEORY_DATA = 
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503 
struct 
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504 

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505 
structure TheoryData = Context.TheoryData; 
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506 

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507 
type T = Data.T; 
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508 
exception Data of T; 
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509 

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510 
val kind = TheoryData.declare Data.name 
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511 
(Data Data.empty) 
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512 
(fn Data x => Data (Data.copy x)) 
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513 
(fn Data x => Data (Data.extend x)) 
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514 
(fn pp => fn (Data x1, Data x2) => Data (Data.merge pp (x1, x2))); 
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515 

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516 
val init = TheoryData.init kind; 
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517 
val get = TheoryData.get kind (fn Data x => x); 
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518 
val get_sg = get; 
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519 
fun print thy = Data.print thy (get thy); 
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520 
val put = TheoryData.put kind Data; 
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521 
fun map f thy = put (f (get thy)) thy; 
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522 

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523 
end; 
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524 

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525 
(*hide private interface!*) 
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526 
structure Context: CONTEXT = Context; 