1 (* Title: extends Isabelle/src/Pure/term.ML
2 Author: Walther Neuper 1999, Mathias Lehnfeld
3 (c) due to copyright terms
7 (* TERM_C extends Isabelle's naming conventions: "C" indicates Isac add-ons to an Isabelle module *)
14 datatype lrd = D | L | R
16 val string_of_path: path -> string
17 val sub_at: path -> term -> term
18 val go_up: path -> term -> term
20 val contains_Var: term -> bool
21 val dest_binop_typ: typ -> typ * typ * typ
22 val dest_equals: term -> term * term
23 val free2str: term -> string
24 val ids2str: term -> string list
25 val ins_concl: term -> term -> term
26 val inst_abs: term -> term
27 val inst_bdv: (term * term) list -> term -> term
29 val mk_frac: typ -> int * (int * int) -> term
30 val numerals_to_Free: term -> term
31 val term_of_num: typ -> int -> term
32 val num_of_term: term -> int
33 val to_string: term -> string
34 val int_of_str: string -> int
35 val isastr_of_int: int -> string
36 val int_opt_of_string: string -> int option
38 val isalist2list: term -> term list
39 val list2isalist: typ -> term list -> term
40 val isapair2pair: term -> term * term (* rename to dest_pair, compare HOLogic.dest_string *)
42 val is_atom: term -> bool
43 val string_of_atom: term -> string
44 val is_const: term -> bool
45 val is_variable: term -> bool
46 val is_bdv: string -> bool
47 val is_bdv_subst: term -> bool
48 val guess_bdv_typ: term -> typ
49 val is_equality: term -> bool
50 val is_expliceq: term -> bool
51 val is_f_x: term -> bool
52 val is_list: term -> bool
53 val is_bool_list: term -> bool
54 val dest_listT: typ -> typ
55 val is_num: term -> bool
56 val is_num': string -> bool
57 val string_of_num: term -> string
58 val variable_constant_pair: term * term -> bool
60 val mk_add: term -> term -> term
61 val mk_free: typ -> string -> term
62 val mk_equality: term * term -> term
63 val mk_factroot: string -> typ -> int -> int -> term
64 val mk_Free: string * typ -> term
65 val mk_thmid: string -> string -> string -> string
66 val mk_num_op_num: typ -> typ -> string * typ -> int -> int -> term
67 val mk_num_op_var: term -> string -> typ -> typ -> int -> term
68 val mk_var_op_num: term -> string -> typ -> typ -> int -> term
70 val matches: theory -> term -> term -> bool
71 val parse: theory -> string -> cterm option
72 val parseN: theory -> string -> cterm option
73 val parseNEW: Proof.context -> string -> term option
74 val parseNEW': Proof.context -> string -> term
75 val parseNEW'': theory -> string -> term
76 val parseold: theory -> string -> cterm option
77 val parse_patt: theory -> string -> term
78 val perm: term -> term -> bool
80 val str_of_free_opt: term -> string option
81 val str_of_int: int -> string
82 val str2term: string -> term
83 val strip_imp_prems': term -> term option
84 val subst_atomic_all: (term * term) list -> term -> bool * term
85 val term_detail2str: term -> string
87 val pairt: term -> term -> term
88 val pairT: typ -> typ -> typ
89 val raise_type_conflicts: term list -> unit
90 val strip_trueprop: term -> term
92 val numbers_to_string: term -> term
93 val uminus_to_string: term -> term
95 val var2free: term -> term
96 val vars: term -> term list (* recognises numerals, should replace "fun vars_of" TODOO*)
97 val vars': term list -> term list
98 val vars_of: term -> term list (* deprecated TODOO: see differences in test/../termC.sml*)
99 val dest_list': term -> term list
100 val negates: term -> term -> bool
103 val mk_negative: typ -> term -> term
104 val scala_of_term: term -> string
105 val atomtyp(*<-- atom_typ TODO*): typ -> unit
106 val atomty: term -> unit
107 val atomw: term -> unit
108 val atomt: term -> unit
109 val atomwy: term -> unit
110 val atomty_thy: ThyC.id -> term -> unit
111 val free2var: term -> term
112 val typ_a2real: term -> term
114 val contains_one_of: thm * (string * typ) list -> bool
115 val contains_Const_typeless: term list -> term -> bool
116 (*----- unused code, kept as hints to design ideas ---------------------------------------------*)
117 val sym_trm : term -> term
121 structure TermC(**): TERM_ISAC(**) =
125 type as_string = UnparseC.term_as_string
126 val empty = UnparseC.term_empty
127 val typ_empty = UnparseC.typ_empty
129 datatype lrd = L (*t1 in "t1$t2"*)
130 | R (*t2 in "t1$t2"*) | D; (*b in Abs(_,_,b*)
131 type path = lrd list;
135 fun string_of_path k = (strs2str' o (map ldr2str)) k;
136 (*go to a location in a term and fetch the resective sub-term*)
138 | sub_at (D :: p) (Abs(_, _, body)) = sub_at p body
139 | sub_at (L :: p) (t1 $ _) = sub_at p t1
140 | sub_at (R :: p) (_ $ t2) = sub_at p t2
141 | sub_at l t = raise TERM ("sub_at: no " ^ string_of_path l ^ " for ", [t]);
143 if length l > 1 then sub_at (drop_last l) t else raise ERROR ("go_up [] " ^ UnparseC.term t)
145 fun isastr_of_int i = if i >= 0 then string_of_int i else "-" ^ string_of_int (abs i)
147 fun matches thy tm pa =
148 (Pattern.match thy (pa, tm) (Vartab.empty, Vartab.empty); true)
149 handle Pattern.MATCH => false
151 (** transform typ / term to a String to be parsed by Scala after transport via libisabelle **)
154 fun scala_of_typ (Type (s, typs)) =
155 enclose "Type(" ")" (quote s ^ ", " ^
156 (typs |> map scala_of_typ |> commas |> enclose "List(" ")"))
157 | scala_of_typ (TFree (s, sort)) =
158 enclose "TFree(" ")" (quote s ^ ", " ^ (sort |> map quote |> commas |> enclose "List(" ")"))
159 | scala_of_typ (TVar ((s, i), sort)) =
160 enclose "TVar(" ")" (
161 enclose "(" ")," (quote s ^ ", " ^ quote (string_of_int i)) ^
162 (sort |> map quote |> commas |> enclose "List(" ")"))
164 fun scala_of_term (Const (s, T)) =
165 enclose "Const(" ")" (quote s ^ ", " ^ scala_of_typ T)
166 | scala_of_term (Free (s, T)) =
167 enclose "Free(" ")" (quote s ^ ", " ^ scala_of_typ T)
168 | scala_of_term (Var ((s, i), T)) =
169 enclose "TVar(" ")" (
170 enclose "(" ")," (quote s ^ ", " ^ quote (string_of_int i)) ^
172 | scala_of_term (Bound i) = enclose "Bound(" ")" (string_of_int i)
173 | scala_of_term (Abs (s, T, t)) =
176 scala_of_typ T ^ ", " ^
178 | scala_of_term (t1 $ t2) =
179 enclose "App(" ")" (scala_of_term t1 ^ ", " ^ scala_of_term t2)
181 (* see structure's bare bones.
182 for Isabelle standard output compare 2017 "structure ML_PP" *)
185 fun ato n (Type (s, [])) = "\n*** " ^ indent n ^ "Type (" ^ s ^",[])"
186 | ato n (Type (s, Ts)) = "\n*** " ^ indent n ^ "Type (" ^ s ^ ",[" ^ atol (n + 1) Ts
187 | ato n (TFree (s, sort)) = "\n*** " ^ indent n ^ "TFree (" ^ s ^ ", " ^ strs2str' sort
188 | ato n (TVar ((s, i), sort)) =
189 "\n*** " ^ indent n ^ "TVar ((" ^ s ^ ", " ^ string_of_int i ^ strs2str' sort
190 and atol n [] = "\n*** " ^ indent n ^ "]"
191 | atol n (T :: Ts) = (ato n T ^ atol n Ts)
192 in tracing (ato 0 t ^ "\n") end;
195 fun ato (Const (a, _)) n = "\n*** " ^ indent n ^ "Const (" ^ a ^ ", _)"
196 | ato (Free (a, _)) n = "\n*** " ^ indent n ^ "Free (" ^ a ^ ", _)"
197 | ato (Var ((a, i), _)) n =
198 "\n*** " ^ indent n ^ "Var (" ^ a ^ ", " ^ string_of_int i ^ "), _)"
199 | ato (Bound i) n = "\n*** " ^ indent n ^ "Bound " ^ string_of_int i
200 | ato (Abs (a, _, body)) n = "\n*** " ^ indent n ^ "Abs(" ^ a ^ ", _" ^ ato body (n+1)
201 | ato (f $ t) n = (ato f n ^ ato t (n + 1))
203 fun atomw t = writeln ("\n*** -------------" ^ ato t 0 ^ "\n***");
204 fun atomt t = tracing ("\n*** -------------" ^ ato t 0 ^ "\n***");
208 fun term_detail2str t =
210 fun ato (Const (a, T)) n = "\n*** " ^ indent n ^ "Const (" ^ a ^ ", " ^ UnparseC.typ T ^ ")"
211 | ato (Free (a, T)) n = "\n*** " ^ indent n ^ "Free (" ^ a ^ ", " ^ UnparseC.typ T ^ ")"
212 | ato (Var ((a, i), T)) n =
213 "\n*** " ^ indent n ^ "Var ((" ^ a ^ ", " ^ string_of_int i ^ "), " ^ UnparseC.typ T ^ ")"
214 | ato (Bound i) n = "\n*** " ^ indent n ^ "Bound " ^ string_of_int i
215 | ato (Abs(a, T, body)) n =
216 "\n*** " ^ indent n ^ "Abs (" ^ a ^ ", " ^ UnparseC.typ T ^ ",.." ^ ato body (n + 1)
217 | ato (f $ t) n = ato f n ^ ato t (n + 1)
218 in "\n*** " ^ ato t 0 ^ "\n***" end;
221 fun term_detail2str_thy thy t =
223 fun ato (Const (a, T)) n =
224 "\n*** " ^ indent n ^ "Const (" ^ a ^ ", " ^ UnparseC.typ_by_thyID thy T ^ ")"
225 | ato (Free (a, T)) n =
226 "\n*** " ^ indent n ^ "Free (" ^ a ^ ", " ^ UnparseC.typ_by_thyID thy T ^ ")"
227 | ato (Var ((a, i), T)) n =
228 "\n*** " ^ indent n ^ "Var ((" ^ a ^ ", " ^ string_of_int i ^ "), " ^
229 UnparseC.typ_by_thyID thy T ^ ")"
231 "\n*** " ^ indent n ^ "Bound " ^ string_of_int i
232 | ato (Abs(a, T, body)) n =
233 "\n*** " ^ indent n ^ "Abs (" ^ a ^ ", " ^ UnparseC.typ_by_thyID thy T ^ ",.." ^
235 | ato (f $ t) n = ato f n ^ ato t (n + 1)
236 in "\n*** " ^ ato t 0 ^ "\n***" end;
237 fun atomwy t = (writeln o term_detail2str) t;
238 fun atomty t = (tracing o term_detail2str) t;
239 fun atomty_thy thy t = (tracing o (term_detail2str_thy thy)) t;
242 (* contains the term a VAR(("*",_),_) ? *)
243 fun contains_Var (Abs(_,_,body)) = contains_Var body
244 | contains_Var (f $ f') = contains_Var f orelse contains_Var f'
245 | contains_Var (Var _) = true
246 | contains_Var _ = false;
249 if n < 0 then "-" ^ ((string_of_int o abs) n)
250 else string_of_int n;
251 val int_of_str = Value.parse_int;
252 val int_opt_of_string = ThmC_Def.int_opt_of_string
253 fun is_num' str = case int_opt_of_string str of SOME _ => true | NONE => false;
255 fun is_num (Const ("Num.numeral_class.numeral", _) $ _) = true
256 | is_num (Const ("Groups.uminus_class.uminus", _) $
257 (Const ("Num.numeral_class.numeral", _) $ _)) = true
258 | is_num (Const ("Groups.one_class.one", _)) = true
259 | is_num (Const ("Groups.uminus_class.uminus", _) $ Const ("Groups.one_class.one", _)) = true
260 | is_num (Const ("Groups.zero_class.zero", _)) = true
261 | is_num (Const ("Groups.uminus_class.uminus", _) $ Const ("Groups.zero_class.zero", _)) = true
264 fun string_of_num n = (n |> HOLogic.dest_number |> snd |> string_of_int)
266 fun mk_negative T t = Const ("Groups.uminus_class.uminus", T --> T) $ t
267 fun mk_frac T (sg, (i1, i2)) =
269 if i2 = 1 then HOLogic.mk_number T i1
270 else Const ("Rings.divide_class.divide", T --> T --> T) $
271 HOLogic.mk_number T i1 $ HOLogic.mk_number T i2
272 else (*take negative*)
273 if i2 = 1 then mk_negative T (HOLogic.mk_number T i1)
274 else Const ("Rings.divide_class.divide", T --> T --> T) $
275 mk_negative T (HOLogic.mk_number T i1) $ HOLogic.mk_number T i2
277 val numerals_to_Free = (* Makarius 100308 *)
280 (case try HOLogic.dest_number t of
281 SOME (T, i) => SOME (Free (signed_string_of_int i, T))
283 fun to_str (Abs (x, T, b)) = Abs (x, T, to_str b)
284 | to_str (t as (u1 $ u2)) =
285 (case dest_num t of SOME t' => t' | NONE => to_str u1 $ to_str u2)
286 | to_str t = perhaps dest_num t;
289 val term_of_num = HOLogic.mk_number;
290 fun num_of_term t = t |> HOLogic.dest_number |> snd;
291 (* accomodate string-representation for int to term-orders *)
292 fun to_string t = t |> num_of_term |> LibraryC.string_of_int'
294 fun is_const (Const _) = true | is_const _ = false;
295 fun is_variable (t as Free _) = not (is_num t)
296 | is_variable _ = false;
297 fun is_Free (Free _) = true | is_Free _ = false;
298 fun is_fun_id (Const _) = true
299 | is_fun_id (Free _) = true
300 | is_fun_id _ = false;
301 fun is_f_x (f $ x) = is_fun_id f andalso is_Free x
303 (* precondition: TermC.is_atom v andalso TermC.is_atom c *)
304 fun variable_constant_pair (v, c) =
305 if (is_variable v andalso (is_const c orelse is_num c)) orelse
306 (is_variable c andalso (is_const v orelse is_num v))
312 fun scan vs (Const _) = vs
313 | scan vs (t as Free _) = (*if is_num' s then vs else*) t :: vs
314 | scan vs (t as Var _) = t :: vs
315 | scan vs (Bound _) = vs
316 | scan vs (Abs (_, _, t)) = scan vs t
317 | scan vs (t1 $ t2) = (scan vs t1) @ (scan vs t2)
318 in ((distinct op =) o (scan [])) t end;
319 fun vars' ts = ts |> map vars |> flat |> distinct op =
321 (* bypass Isabelle's Pretty, which requires ctxt *)
324 fun scan vs (Const (s, _)) = if is_num' s then vs else s :: vs
325 | scan vs (Free (s, _)) = if is_num' s then vs else s :: vs
326 | scan vs (Var ((s, i), _)) = (s ^ "_" ^ string_of_int i) :: vs
327 | scan vs (Bound _) = vs
328 | scan vs (Abs (s, _, t)) = scan (s :: vs) t
329 | scan vs (t1 $ t2) = (scan vs t1) @ (scan vs t2)
330 in ((distinct op =) o (scan [])) t end;
331 fun is_bdv str = case Symbol.explode str of "b"::"d"::"v"::_ => true | _ => false;
332 (* instantiate #prop thm with bound variables (as Free) *)
333 fun inst_bdv [] t = t
334 | inst_bdv (instl: (term*term) list) t =
336 fun subst (v as Var((s, _), T)) =
337 (case Symbol.explode s of
338 "b"::"d"::"v"::_ => if_none (assoc(instl,Free(s,T))) (Free(s,T))
340 | subst (Abs(a, T, body)) = Abs(a, T, subst body)
341 | subst (f $ t') = subst f $ subst t'
342 | subst t = if_none (assoc (instl, t)) t
345 (* is a term a substitution for a bdv as found in programs and tactics *)
346 fun is_bdv_subst (Const ("List.list.Cons", _) $
347 (Const ("Product_Type.Pair", _) $ str $ _) $ _) = is_bdv (HOLogic.dest_string str)
348 | is_bdv_subst _ = false;
350 (* this shall be improved due to future requirements *)
351 fun guess_bdv_typ t = t |> vars |> hd |> type_of
353 fun free2str (Free (s, _)) = s
354 | free2str t = raise ERROR ("free2str not for " ^ UnparseC.term t);
355 fun str_of_free_opt (Free (s, _)) = SOME s
356 | str_of_free_opt _ = NONE
358 (* compare Logic.unvarify_global, which rejects Free *)
359 fun var2free (t as Const _) = t
360 | var2free (t as Free _) = t
361 | var2free (Var((s, _), T)) = Free (s,T)
362 | var2free (t as Bound _) = t
363 | var2free (Abs(s, T, t)) = Abs(s, T, var2free t)
364 | var2free (t1 $ t2) = (var2free t1) $ (var2free t2);
367 (* Logic.varify does NOT take care of 'Free ("1", _)'*)
368 fun free2var (t as Const _) = t
369 | free2var (t as Free (s, T)) = if is_num' s then t else Var ((s, 0), T)
370 | free2var (t as Var _) = t
371 | free2var (t as Bound _) = t
372 | free2var (Abs (s, T, t)) = Abs (s, T, free2var t)
373 | free2var (t1 $ t2) = (free2var t1) $ (free2var t2);
376 fun mk_listT T = Type ("List.list", [T]);
377 fun list_const T = Const ("List.list.Cons", [T, mk_listT T] ---> mk_listT T);
378 fun list2isalist T [] = Const ("List.list.Nil", mk_listT T)
379 | list2isalist T (t :: ts) = (list_const T) $ t $ (list2isalist T ts);
381 fun isapair2pair (Const ("Product_Type.Pair",_) $ a $ b) = (a, b)
383 raise ERROR ("isapair2pair called with " ^ UnparseC.term t);
384 fun isalist2list ls =
386 fun get es (Const("List.list.Cons", _) $ t $ ls) = get (t :: es) ls
387 | get es (Const("List.list.Nil", _)) = es
388 | get _ t = raise TERM ("isalist2list applied to NON-list: ", [t])
389 in (rev o (get [])) ls end;
391 fun is_list ((Const ("List.list.Cons", _)) $ _ $ _) = true
393 fun dest_listT (Type ("List.list", [T])) = T
394 | dest_listT T = raise TYPE ("dest_listT: list type expected", [T], []);
396 (if dest_listT (Term.type_of t) = HOLogic.boolT then true else false)
397 handle TYPE _ => false
400 fun dest_binop_typ (Type ("fun", [range, Type ("fun", [arg2, arg1])])) = (arg1, arg2, range)
401 | dest_binop_typ _ = raise ERROR "dest_binop_typ: not binary";
402 fun dest_equals (Const("HOL.eq", _) $ t $ u) = (t, u) (* Pure/logic.ML: Const ("==", ..*)
403 | dest_equals t = raise TERM ("dest_equals'", [t]);
404 fun is_equality (Const("HOL.eq",_) $ _ $ _) = true (* logic.ML: Const("=="*)
405 | is_equality _ = false;
406 fun mk_equality (t, u) = (Const("HOL.eq", [type_of t, type_of u] ---> HOLogic.boolT) $ t $ u);
407 fun is_expliceq (Const("HOL.eq",_) $ (Free _) $ _) = true
408 | is_expliceq _ = false;
409 fun strip_trueprop (Const ("HOL.Trueprop", _) $ t) = t
410 | strip_trueprop t = t;
412 (* (A1==>...An==>B) goes to (A1==>...An==>) Pure/logic.ML: term -> term list*)
413 fun strip_imp_prems' (Const ("Pure.imp", _) $ A $ t) =
415 fun coll_prems As (Const("Pure.imp", _) $ A $ t) =
416 coll_prems (As $ (Logic.implies $ A)) t
417 | coll_prems As _ = SOME As
418 in coll_prems (Logic.implies $ A) t end
419 | strip_imp_prems' _ = NONE; (* *)
421 (* (A1==>...An==>) (B) goes to (A1==>...An==>B), where B is lowest branch, 2002 Pure/thm.ML *)
422 fun ins_concl (Const ("Pure.imp", _) $ A $ t) B = Logic.implies $ A $ (ins_concl t B)
423 | ins_concl (Const ("Pure.imp", _) $ A ) B = Logic.implies $ A $ B
424 | ins_concl t B = raise TERM ("ins_concl", [t, B]);
426 fun vperm (Var _, Var _) = true (* 2002 Pure/thm.ML *)
427 | vperm (Abs (_, _, s), Abs (_, _, t)) = vperm (s, t)
428 | vperm (t1 $ t2, u1 $ u2) = vperm (t1, u1) andalso vperm (t2, u2)
429 | vperm (t, u) = (t = u);
431 (*2002 cp from Pure/term.ML --- since 2009 in Pure/old_term.ML*)
432 fun mem_term (_, []) = false
433 | mem_term (t, t' :: ts) = t aconv t' orelse mem_term (t, ts);
434 fun subset_term ([], _) = true
435 | subset_term (x :: xs, ys) = mem_term (x, ys) andalso subset_term (xs, ys);
436 fun eq_set_term (xs, ys) =
437 xs = ys orelse (subset_term (xs, ys) andalso subset_term (ys, xs));
438 (*a total, irreflexive ordering on index names*)
439 fun xless ((a, i), (b, j): indexname) = i<j orelse (i = j andalso a < b);
440 (*a partial ordering (not reflexive) for atomic terms*)
441 fun atless (Const (a, _), Const (b, _)) = a < b
442 | atless (Free (a, _), Free (b, _)) = a < b
443 | atless (Var (v, _), Var (w, _)) = xless (v, w)
444 | atless (Bound i, Bound j) = i < j
446 (*insert atomic term into partially sorted list, suppressing duplicates (?)*)
447 fun insert_aterm (t,us) =
448 let fun inserta [] = [t]
449 | inserta (us as u::us') =
450 if atless(t,u) then t::us
451 else if t=u then us (*duplicate*)
452 else u :: inserta us'
455 (* Accumulates the Vars in the term, suppressing duplicates *)
456 fun add_term_vars (t, vars: term list) = case t of
457 Var _ => insert_aterm (t, vars)
458 | Abs (_, _, body) => add_term_vars (body, vars)
459 | f$t => add_term_vars (f, add_term_vars (t, vars))
461 fun term_vars t = add_term_vars (t, []);
463 (*2002 Pure/thm.ML *)
464 fun var_perm (t, u) = vperm (t, u) andalso eq_set_term (term_vars t, term_vars u);
465 (*2002 fun decomp_simp, Pure/thm.ML *)
466 fun perm lhs rhs = var_perm (lhs, rhs) andalso not (lhs aconv rhs) andalso not (is_Var lhs);
469 fun pairT T1 T2 = Type ("*", [T1, T2]);
470 fun PairT T1 T2 = ([T1, T2] ---> Type ("*", [T1, T2]));
471 fun pairt t1 t2 = Const ("Product_Type.Pair", PairT (type_of t1) (type_of t2)) $ t1 $ t2;
473 fun mk_factroot op_(*=thy.sqrt*) T fact root =
474 Const ("Groups.times_class.times", [T, T] ---> T) $ (term_of_num T fact) $
475 (Const (op_, T --> T) $ term_of_num T root);
476 fun mk_var_op_num v op_ optype ntyp n = Const (op_, optype) $ v $ HOLogic.mk_number ntyp n;
477 fun mk_num_op_var v op_ optype ntyp n = Const (op_, optype) $ HOLogic.mk_number ntyp n $ v;
478 fun mk_num_op_num T1 T2 (op_, Top) n1 n2 =
479 Const (op_, Top) $ HOLogic.mk_number T1 n1 $ HOLogic.mk_number T2 n2;
480 fun mk_thmid thmid n1 n2 =
481 thmid ^ (strip_thy n1) ^ "_" ^ (strip_thy n2);
484 val (T1, T2) = (type_of t1, type_of t2)
486 if T1 <> T2 then raise TYPE ("mk_add gets ", [T1, T2], [t1,t2])
487 else (Const ("Groups.plus_class.plus", [T1, T2] ---> T1) $ t1 $ t2)
490 (** transform binary numeralsstrings **)
491 val numbers_to_string = ThmC_Def.num_to_Free
492 val uminus_to_string = ThmC_Def.uminus_to_string
494 fun mk_Free (s,T) = Free (s, T);
495 fun mk_free T s = Free (s, T);
497 (*Special case: one argument cp from Isabelle2002/src/Pure/term.ML*)
498 fun subst_bound (arg, t) =
500 fun subst (t as Bound i, lev) =
501 if i < lev then t (*var is locally bound*)
502 else if i = lev then incr_boundvars lev arg
503 else Bound (i - 1) (*loose: change it*)
504 | subst (Abs(a, T, body), lev) = Abs (a, T, subst (body, lev + 1))
505 | subst (f$t, lev) = subst(f, lev) $ subst(t, lev)
509 (* instantiate let; necessary for scan_up1 *)
510 fun inst_abs (Const sT) = Const sT
511 | inst_abs (Free sT) = Free sT
512 | inst_abs (Bound n) = Bound n
513 | inst_abs (Var iT) = Var iT
514 | inst_abs (Const ("HOL.Let",T1) $ e $ (Abs (v, T2, b))) =
515 let val b' = subst_bound (Free (v, T2), b); (*fun variant_abs: term.ML*)
516 in Const ("HOL.Let", T1) $ inst_abs e $ (Abs (v, T2, inst_abs b')) end
517 | inst_abs (t1 $ t2) = inst_abs t1 $ inst_abs t2
520 (* for parse and parse_patt: fix all types to real *)
521 fun T_a2real (Type (s, [])) =
522 if s = "'a" orelse s = "'b" orelse s = "'c" then HOLogic.realT else Type (s, [])
523 | T_a2real (Type (s, Ts)) = Type (s, map T_a2real Ts)
524 | T_a2real (TFree (s, srt)) =
525 if s = "'a" orelse s = "'b" orelse s = "'c" then HOLogic.realT else TFree (s, srt)
526 | T_a2real (TVar (("DUMMY", _), _)) = HOLogic.realT
527 | T_a2real (TVar ((s, i), srt)) =
528 if s = "'a" orelse s = "'b" orelse s = "'c" then HOLogic.realT else TVar ((s, i), srt)
529 fun typ_a2real (Const( s, T)) = (Const( s, T_a2real T))
530 | typ_a2real (Free( s, T)) = (Free( s, T_a2real T))
531 | typ_a2real (Var( n, T)) = (Var( n, T_a2real T))
532 | typ_a2real (Bound i) = (Bound i)
533 | typ_a2real (Abs(s,T,t)) = Abs(s, T, typ_a2real t)
534 | typ_a2real (t1 $ t2) = (typ_a2real t1) $ (typ_a2real t2);
536 (* TODO clarify parse with Test_Isac *)
537 fun parseold thy str = (* before 2002 *)
539 let val t = ((*typ_a2real o*) numbers_to_string) (Syntax.read_term_global thy str)
540 in Thm.global_cterm_of thy t end\<close>;
541 fun parseN thy str = (* introduced 2002 *)
543 let val t = (*(typ_a2real o numbers_to_string)*) (Syntax.read_term_global thy str)
544 in Thm.global_cterm_of thy t end\<close>;
545 fun parse thy str = (* introduced 2010 *)
547 let val t = (typ_a2real o numbers_to_string) (Syntax.read_term_global thy str)
548 in Thm.global_cterm_of thy t end\<close>;
550 (*WN110317 parseNEW will replace parse after introduction of ctxt completed*)
551 fun parseNEW ctxt str = \<^try>\<open>Syntax.read_term ctxt str |> numbers_to_string\<close>;
552 fun parseNEW' ctxt str =
553 case parseNEW ctxt str of
555 | NONE => raise TERM ("NO parseNEW' for " ^ str, [])
556 fun parseNEW'' thy str =
557 case parseNEW (ThyC.to_ctxt thy) str of
559 | NONE => raise TERM ("NO parseNEW'' for " ^ str, [])
561 (* parse term patterns; Var ("v",_), i.e. "?v", are required for instantiation
562 WN130613 probably compare to
563 http://www.mail-archive.com/isabelle-dev@mailbroy.informatik.tu-muenchen.de/msg04249.html*)
564 fun parse_patt thy str = (thy, str)
566 |-> Proof_Context.read_term_pattern
567 (*|> numbers_to_string TODO drop*)
568 |> typ_a2real; (*TODO drop*)
569 fun str2term str = parse_patt (ThyC.get_theory "Isac_Knowledge") str
571 fun is_atom (Const ("Num.numeral_class.numeral", _) $ _) = true
572 | is_atom (Const ("Groups.one_class.one", _)) = true
573 | is_atom (Const ("Groups.zero_class.zero", _)) = true
574 | is_atom (Const _) = true
575 | is_atom (Free _) = true
576 | is_atom (Var _) = true
578 fun string_of_atom (t as Const ("Num.numeral_class.numeral", _) $ _) = to_string t
579 | string_of_atom (t as Const ("Groups.one_class.one", _)) = to_string t
580 | string_of_atom (t as Const ("Groups.zero_class.zero", _)) = to_string t
581 | string_of_atom (Const (str, _)) = str
582 | string_of_atom (Free (str, _)) = str
583 | string_of_atom (Var ((str, int), _)) = str ^ "_" ^ string_of_int int
584 | string_of_atom _ = "DUMMY-string_of_atom";
586 (* from Pure/term.ML; reports if ALL Free's have found a substitution
587 (required for evaluating the preconditions of _incomplete_ models) *)
588 fun subst_atomic_all [] t = (false (*TODO may be 'true' for some terms ?*), t)
589 | subst_atomic_all instl t =
591 fun subst (Abs (a, T, body)) =
593 val (all, body') = subst body
594 in (all, Abs(a, T, body')) end
597 val (all1, f') = subst f
598 val (all2, tt') = subst tt
599 in (all1 andalso all2, f' $ tt') end
600 | subst (t as Free _) =
601 if is_num t then (true, t) (*numerals cannot be subst*)
602 else (case assoc (instl, t) of
603 SOME t' => (true, t')
604 | NONE => (false, t))
605 | subst t = (true, if_none (assoc(instl,t)) t)
608 fun op contains_one_of (thm, ids) =
609 Term.exists_Const (fn id => member op= ids id) (Thm.prop_of thm)
611 fun var_for vs (t as Const (str, _)) id = if id = strip_thy str then t :: vs else vs
612 | var_for vs (t as Free (str, _)) id = if id = str then t :: vs else vs
613 | var_for vs (t as Var (idn, _)) id = if id = Term.string_of_vname idn then t :: vs else vs
614 | var_for vs (Bound _) _ = vs
615 | var_for vs (Abs (_, _, t)) id = var_for vs t id
616 | var_for vs (t1 $ t2) id = (var_for vs t1 id) @ (var_for vs t2 id)
618 val poly_consts = (* TODO: adopt syntax-const from Isabelle*)
619 ["Groups.plus_class.plus", "Groups.minus_class.minus",
620 "Rings.divide_class.divide", "Groups.times_class.times",
621 "Transcendental.powr",
622 "Num.numeral_class.numeral", "Num.num.Bit0", "Num.num.Bit1", "Num.num.One",
623 "Groups.uminus_class.uminus", "Groups.one_class.one"];
624 (* treat Free, Const, Var as variables in polynomials *)
627 val var_ids = t |> ids2str |> subtract op = poly_consts |> map strip_thy |> sort string_ord
628 in (map (var_for [] t) var_ids) |> flat |> distinct op = end
630 (* this may decompose an object-language isa-list;
631 use only, if description is not available, eg. not input ?WN:14.5.03 ??!?*)
632 fun dest_list' t = if is_list t then isalist2list t else [t];
634 fun negat (Const ("HOL.Not", _) $ P, P') = P = P'
636 fun negates p1 p2 = negat (p1, p2) orelse negat (swap (p1, p2));
638 fun raise_type_conflicts ts =
640 val dups = duplicates (op =) (map (fst o dest_Free) ts)
641 val confl = filter (fn Free (str, _) => member op = dups str
646 else raise TYPE ("formalisation inconsistent w.r.t. type inference: ",
647 map (snd o dest_Free)confl, confl)
650 (* expects t as Const *)
651 fun contains_Const_typeless ts t = (t
653 |> member (fn (t1, t2) => fst (dest_Const t1) = fst (dest_Const t2)) ts
654 ) handle TERM("dest_Const", _) => raise TERM ("contains_Const_typeless", [t])
656 (* WN100910 weaker than fun sym_thm for Theory.axioms_of in isa02 *)
659 val (lhs, rhs) = (dest_equals o strip_trueprop o Logic.strip_imp_concl) trm
660 val trm' = case strip_imp_prems' trm of
661 NONE => mk_equality (rhs, lhs)
662 | SOME cs => ins_concl cs (mk_equality (rhs, lhs))