author  wenzelm 
Mon, 29 Jun 1998 21:33:25 +0200  
changeset 5091  4dc26d3e8722 
parent 5041  a1d0a6d555cd 
child 5175  2dbef0104bcf 
permissions  rwrr 
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(* Title: Pure/pure_thy.ML 
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ID: $Id$ 

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Author: Markus Wenzel, TU Muenchen 

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Theorem database, derived theory operations, and the ProtoPure theory. 
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*) 
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signature BASIC_PURE_THY = 
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sig 
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val print_theorems: theory > unit 
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val print_theory: theory > unit 

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val get_thm: theory > xstring > thm 
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val get_thms: theory > xstring > thm list 
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val thms_of: theory > (string * thm) list 
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val global_names: bool ref 
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structure ProtoPure: 
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sig 

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val thy: theory 

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val flexpair_def: thm 

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val Goal_def: thm 

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end 

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end; 
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signature PURE_THY = 
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sig 

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include BASIC_PURE_THY 
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val thms_closure: theory > xstring > tthm list option 
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val get_tthm: theory > xstring > tthm 
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val get_tthms: theory > xstring > tthm list 

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val thms_containing: theory > string list > (string * thm) list 
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val smart_store_thm: (bstring * thm) > thm 
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val add_tthms: ((bstring * tthm) * theory attribute list) list > theory > theory 
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val add_tthmss: ((bstring * tthm list) * theory attribute list) list > theory > theory 

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val add_axioms: ((bstring * string) * theory attribute list) list > theory > theory 

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val add_axioms_i: ((bstring * term) * theory attribute list) list > theory > theory 

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val add_axiomss: ((bstring * string list) * theory attribute list) list > theory > theory 

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val add_axiomss_i: ((bstring * term list) * theory attribute list) list > theory > theory 

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val add_defs: ((bstring * string) * theory attribute list) list > theory > theory 

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val add_defs_i: ((bstring * term) * theory attribute list) list > theory > theory 

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val add_defss: ((bstring * string list) * theory attribute list) list > theory > theory 

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val add_defss_i: ((bstring * term list) * theory attribute list) list > theory > theory 

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val get_name: theory > string 
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val put_name: string > theory > theory 
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val global_path: theory > theory 
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val local_path: theory > theory 
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val begin_theory: string > theory list > theory 
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val end_theory: theory > theory 
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exception ROLLBACK of theory * exn option 
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val transaction: (theory > theory) > theory > theory 

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val add_typedecls: (bstring * string list * mixfix) list > theory > theory 
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end; 
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structure PureThy: PURE_THY = 

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struct 

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(*** theorem database ***) 
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(** data kind 'Pure/theorems' **) 
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structure TheoremsDataArgs = 
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struct 

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val name = "Pure/theorems"; 

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type T = 
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{space: NameSpace.T, 

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thms_tab: tthm list Symtab.table, 

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const_idx: int * (int * tthm) list Symtab.table} ref; 

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fun mk_empty _ = 
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ref {space = NameSpace.empty, thms_tab = Symtab.empty, const_idx = (0, Symtab.empty)} : T; 
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val empty = mk_empty (); 
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val prep_ext = mk_empty; 

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val merge = mk_empty; 

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fun print sg (ref {space, thms_tab, const_idx = _}) = 

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let 
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val prt_thm = Attribute.pretty_tthm o apfst (Thm.transfer_sg sg); 

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fun prt_thms (name, [th]) = 

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Pretty.block [Pretty.str (name ^ ":"), Pretty.brk 1, prt_thm th] 

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 prt_thms (name, ths) = Pretty.big_list (name ^ ":") (map prt_thm ths); 

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fun extrn name = 
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if ! long_names then name else NameSpace.extern space name; 

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val thmss = sort_wrt fst (map (apfst extrn) (Symtab.dest thms_tab)); 

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in 

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Pretty.writeln (Display.pretty_name_space ("theorem name space", space)); 

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Pretty.writeln (Pretty.big_list "theorems:" (map prt_thms thmss)) 

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end; 

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end; 
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structure TheoremsData = TheoryDataFun(TheoremsDataArgs); 
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val get_theorems_sg = TheoremsData.get_sg; 

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val get_theorems = TheoremsData.get; 

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(* print theory *) 
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val print_theorems = TheoremsData.print; 
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fun print_theory thy = 
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(Display.print_theory thy; print_theorems thy); 

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(** retrieve theorems **) 
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(* thms_closure *) 
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(*note: we avoid life references to the theory, so users may safely 
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keep thms_closure with moderate space consumption*) 
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fun thms_closure_aux thy = 
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let val ref {space, thms_tab, ...} = get_theorems thy 
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in fn name => Symtab.lookup (thms_tab, NameSpace.intern space name) end; 
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fun thms_closure thy = 
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let val closures = map thms_closure_aux (thy :: Theory.ancestors_of thy) 
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in fn name => get_first (fn f => f name) closures end; 
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(* get_thms etc. *) 
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fun lookup_thms name thy = thms_closure_aux thy name; 
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fun get_tthms thy name = 
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(case get_first (lookup_thms name) (thy :: Theory.ancestors_of thy) of 
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None => raise THEORY ("Unknown theorem(s) " ^ quote name, [thy]) 
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 Some thms => thms); 
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fun get_tthm thy name = 
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(case get_tthms thy name of 

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[thm] => thm 
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 _ => raise THEORY ("Single theorem expected " ^ quote name, [thy])); 
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fun get_thms thy = map Attribute.thm_of o get_tthms thy; 
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fun get_thm thy = Attribute.thm_of o get_tthm thy; 

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(* thms_of *) 
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fun attach_name (thm, _) = (Thm.name_of_thm thm, thm); 
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fun thms_of thy = 
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let val ref {thms_tab, ...} = get_theorems thy in 
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map attach_name (flat (map snd (Symtab.dest thms_tab))) 
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end; 
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(** theorems indexed by constants **) 
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(* make index *) 
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val ignore = ["Trueprop", "all", "==>", "=="]; 
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fun add_const_idx ((next, table), tthm as (thm, _)) = 
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let 
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val {hyps, prop, ...} = Thm.rep_thm thm; 
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val consts = 
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foldr add_term_consts (hyps, add_term_consts (prop, [])) \\ ignore; 
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fun add (tab, c) = 
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Symtab.update ((c, (next, tthm) :: Symtab.lookup_multi (tab, c)), tab); 
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in (next + 1, foldl add (table, consts)) end; 
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fun make_const_idx thm_tab = 
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foldl (foldl add_const_idx) ((0, Symtab.empty), map snd (Symtab.dest thm_tab)); 
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(* lookup index *) 
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(*search locally*) 
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fun containing [] thy = thms_of thy 
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 containing consts thy = 
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let 
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fun int ([], _) = [] 
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 int (_, []) = [] 

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 int (xxs as ((x as (i:int, _)) :: xs), yys as ((y as (j, _)) :: ys)) = 

180 
if i = j then x :: int (xs, ys) 

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else if i > j then int (xs, yys) 

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else int (xxs, ys); 

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fun ints [xs] = xs 
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 ints xss = if exists null xss then [] else foldl int (hd xss, tl xss); 

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val ref {const_idx = (_, ctab), ...} = get_theorems thy; 
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val ithmss = map (fn c => Symtab.lookup_multi (ctab, c)) consts; 
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in 
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map (attach_name o snd) (ints ithmss) 
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end; 
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(*search globally*) 
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fun thms_containing thy consts = 
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flat (map (containing (consts \\ ignore)) (thy :: Theory.ancestors_of thy)); 
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(** store theorems **) (*DESTRUCTIVE*) 
3987  200 

4853  201 
(* naming *) 
202 

203 
fun gen_names len name = 

204 
map (fn i => name ^ "_" ^ string_of_int i) (1 upto len); 

205 

206 
fun name_single name x = [(name, x)]; 

207 
fun name_multi name xs = gen_names (length xs) name ~~ xs; 

208 

209 

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(* enter_tthmx *) 

211 

3987  212 
fun warn_overwrite name = 
213 
warning ("Replaced old copy of theorems " ^ quote name); 

214 

215 
fun warn_same name = 

5005  216 
warning ("Theorem database already contains a copy of " ^ quote name); 
3987  217 

4853  218 
fun enter_tthmx sg app_name (bname, tthmx) = 
3987  219 
let 
4853  220 
val name = Sign.full_name sg bname; 
221 
fun name_tthm (nm, (thm, tgs)) = (Thm.name_thm (nm, thm), tgs); 

222 
val named_tthms = map name_tthm (app_name name tthmx); 

3987  223 

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fun eq_tthm ((th1, _), (th2, _)) = Thm.eq_thm (th1, th2); 
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val r as ref {space, thms_tab, const_idx} = get_theorems_sg sg; 
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val overwrite = 
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(case Symtab.lookup (thms_tab, name) of 
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None => false 
4783  231 
 Some tthms' => 
4853  232 
if length tthms' = length named_tthms andalso forall2 eq_tthm (tthms', named_tthms) then 
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233 
(warn_same name; false) 
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234 
else (warn_overwrite name; true)); 
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235 

4487  236 
val space' = NameSpace.extend (space, [name]); 
4783  237 
val thms_tab' = Symtab.update ((name, named_tthms), thms_tab); 
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val const_idx' = 
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if overwrite then make_const_idx thms_tab' 
4783  240 
else foldl add_const_idx (const_idx, named_tthms); 
3987  241 
in 
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r := {space = space', thms_tab = thms_tab', const_idx = const_idx'}; 
4783  243 
named_tthms 
3987  244 
end; 
245 

4853  246 

247 
(* add_tthms(s) *) 

248 

249 
fun add_tthmx app_name app_att ((bname, tthmx), atts) thy = 

250 
let val (thy', tthmx') = app_att ((thy, tthmx), atts) 

251 
in enter_tthmx (Theory.sign_of thy') app_name (bname, tthmx'); thy' end; 

252 

253 
val add_tthms = Theory.apply o map (add_tthmx name_single Attribute.apply); 

254 
val add_tthmss = Theory.apply o map (add_tthmx name_multi Attribute.applys); 

3987  255 

256 

4853  257 
(* smart_store_thm *) 
3987  258 

4012  259 
fun smart_store_thm (name, thm) = 
4853  260 
let val [(thm', _)] = enter_tthmx (Thm.sign_of_thm thm) name_single (name, Attribute.tthm_of thm) 
4783  261 
in thm' end; 
3987  262 

263 

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(* store axioms as theorems *) 
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265 

4853  266 
local 
267 
fun add_ax app_name add ((name, axs), atts) thy = 

268 
let 

269 
val named_axs = app_name name axs; 

270 
val thy' = add named_axs thy; 

271 
val tthms = map (Attribute.tthm_of o Thm.get_axiom thy' o fst) named_axs; 

272 
in add_tthmss [((name, tthms), atts)] thy' end; 

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273 

4853  274 
fun add_axs app_name add = Theory.apply o map (add_ax app_name add); 
275 
in 

276 
val add_axioms = add_axs name_single Theory.add_axioms; 

277 
val add_axioms_i = add_axs name_single Theory.add_axioms_i; 

278 
val add_axiomss = add_axs name_multi Theory.add_axioms; 

279 
val add_axiomss_i = add_axs name_multi Theory.add_axioms_i; 

280 
val add_defs = add_axs name_single Theory.add_defs; 

281 
val add_defs_i = add_axs name_single Theory.add_defs_i; 

282 
val add_defss = add_axs name_multi Theory.add_defs; 

283 
val add_defss_i = add_axs name_multi Theory.add_defs_i; 

284 
end; 

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285 

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286 

3987  287 

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288 
(*** derived theory operations ***) 
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289 

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290 
(** theory management **) 
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291 

5005  292 
(* data kind 'Pure/theory_management' *) 
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293 

5005  294 
structure TheoryManagementDataArgs = 
295 
struct 

296 
val name = "Pure/theory_management"; 

297 
type T = {name: string, generation: int}; 

5000  298 

5005  299 
val empty = {name = "", generation = 0}; 
300 
val prep_ext = I; 

5000  301 
fun merge _ = empty; 
5005  302 
fun print _ _ = (); 
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303 
end; 
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304 

5005  305 
structure TheoryManagementData = TheoryDataFun(TheoryManagementDataArgs); 
306 
val get_info = TheoryManagementData.get; 

307 
val put_info = TheoryManagementData.put; 

308 

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309 

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310 
(* get / put name *) 
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311 

5000  312 
val get_name = #name o get_info; 
313 
fun put_name name = put_info {name = name, generation = 0}; 

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314 

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315 

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316 
(* control prefixing of theory name *) 
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317 

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318 
(*compatibility flag, likely to disappear someday*) 
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319 
val global_names = ref false; 
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320 

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321 
fun global_path thy = 
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322 
if ! global_names then thy else Theory.root_path thy; 
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323 

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324 
fun local_path thy = 
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325 
if ! global_names then thy 
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326 
else thy > Theory.root_path > Theory.add_path (get_name thy); 
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327 

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328 

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329 
(* begin / end theory *) 
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330 

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331 
fun begin_theory name thys = 
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332 
Theory.prep_ext_merge thys 
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333 
> put_name name 
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334 
> local_path; 
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335 

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336 
fun end_theory thy = Theory.add_name (get_name thy) thy; 
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337 

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338 

5000  339 
(* atomic transactions *) 
340 

5091  341 
exception ROLLBACK of theory * exn option; 
342 

5000  343 
fun transaction f thy = 
344 
let 

345 
val {name, generation} = get_info thy; 

346 
val copy_thy = 

347 
thy 

348 
> Theory.prep_ext 

5005  349 
> Theory.add_name ("#" ^ name ^ ":" ^ string_of_int generation) (* FIXME !!?? *) 
5000  350 
> put_info {name = name, generation = generation + 1}; 
5026  351 
val (thy', opt_exn) = (transform_error f thy, None) handle exn => (thy, Some exn); 
5000  352 
in 
5091  353 
if Sign.is_stale (Theory.sign_of thy') then raise ROLLBACK (copy_thy, opt_exn) 
354 
else (case opt_exn of Some exn => raise exn  _ => thy') 

5000  355 
end; 
356 

357 

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358 

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359 
(** add logical types **) 
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360 

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361 
fun add_typedecls decls thy = 
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362 
let 
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363 
val full = Sign.full_name (Theory.sign_of thy); 
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364 

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365 
fun type_of (raw_name, vs, mx) = 
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366 
if null (duplicates vs) then (raw_name, length vs, mx) 
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367 
else error ("Duplicate parameters in type declaration: " ^ quote raw_name); 
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368 

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369 
fun arity_of (raw_name, len, mx) = 
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370 
(full (Syntax.type_name raw_name mx), replicate len logicS, logicS); 
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371 

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372 
val types = map type_of decls; 
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373 
val arities = map arity_of types; 
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374 
in 
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375 
thy 
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376 
> Theory.add_types types 
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377 
> Theory.add_arities_i arities 
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378 
end; 
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379 

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380 

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381 

5091  382 
(*** the ProtoPure theory ***) 
3987  383 

384 
val proto_pure = 

385 
Theory.pre_pure 

5022
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386 
> Theory.apply [TheoremsData.init, TheoryManagementData.init] 
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387 
> put_name "ProtoPure" 
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388 
> global_path 
3987  389 
> Theory.add_types 
4922
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390 
[("fun", 2, NoSyn), 
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391 
("prop", 0, NoSyn), 
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392 
("itself", 1, NoSyn), 
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393 
("dummy", 0, NoSyn)] 
3987  394 
> Theory.add_classes_i [(logicC, [])] 
395 
> Theory.add_defsort_i logicS 

396 
> Theory.add_arities_i 

397 
[("fun", [logicS, logicS], logicS), 

398 
("prop", [], logicS), 

399 
("itself", [logicS], logicS)] 

4922
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400 
> Theory.add_nonterminals Syntax.pure_nonterms 
3987  401 
> Theory.add_syntax Syntax.pure_syntax 
402 
> Theory.add_modesyntax ("symbols", true) Syntax.pure_sym_syntax 

403 
> Theory.add_trfuns Syntax.pure_trfuns 

404 
> Theory.add_trfunsT Syntax.pure_trfunsT 

405 
> Theory.add_syntax 

406 
[("==>", "[prop, prop] => prop", Delimfix "op ==>")] 

407 
> Theory.add_consts 

408 
[("==", "['a::{}, 'a] => prop", InfixrName ("==", 2)), 

409 
("=?=", "['a::{}, 'a] => prop", InfixrName ("=?=", 2)), 

410 
("==>", "[prop, prop] => prop", Mixfix ("(_/ ==> _)", [2, 1], 1)), 

411 
("all", "('a => prop) => prop", Binder ("!!", 0, 0)), 

4788  412 
("Goal", "prop => prop", Mixfix ("GOAL _", [999], 1000)), 
3987  413 
("TYPE", "'a itself", NoSyn)] 
5041
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414 
> Theory.add_modesyntax ("", false) 
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415 
[("Goal", "prop => prop", Mixfix ("_", [0], 0))] 
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416 
> local_path 
4853  417 
> (add_defs o map Attribute.none) 
4788  418 
[("flexpair_def", "(t =?= u) == (t == u::'a::{})"), 
419 
("Goal_def", "GOAL (PROP A) == PROP A")] 

4963
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420 
> end_theory; 
3987  421 

5091  422 
structure ProtoPure = 
423 
struct 

424 
val thy = proto_pure; 

425 
val flexpair_def = get_axiom thy "flexpair_def"; 

426 
val Goal_def = get_axiom thy "Goal_def"; 

427 
end; 

3987  428 

429 

430 
end; 

431 

432 

4022
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433 
structure BasicPureThy: BASIC_PURE_THY = PureThy; 
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434 
open BasicPureThy; 