author  blanchet 
Sat, 08 Sep 2012 21:04:26 +0200  
changeset 49210  656fb50d33f0 
parent 49209  3c0deda51b32 
child 49211  239a4fa29ddf 
permissions  rwrr 
49112  1 
(* Title: HOL/Codatatype/Tools/bnf_fp_sugar.ML 
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Author: Jasmin Blanchette, TU Muenchen 

3 
Copyright 2012 

4 

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Sugar for constructing LFPs and GFPs. 

6 
*) 

7 

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signature BNF_FP_SUGAR = 

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sig 

49205  10 
(* TODO: programmatic interface *) 
49112  11 
end; 
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13 
structure BNF_FP_Sugar : BNF_FP_SUGAR = 

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struct 

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49119  16 
open BNF_Util 
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open BNF_Wrap 

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open BNF_FP_Util 

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open BNF_LFP 

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open BNF_GFP 

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open BNF_FP_Sugar_Tactics 
49119  22 

49129  23 
val caseN = "case"; 
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val itersN = "iters"; 
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val recsN = "recs"; 
49129  26 

49205  27 
fun split_list7 xs = (map #1 xs, map #2 xs, map #3 xs, map #4 xs, map #5 xs, map #6 xs, map #7 xs); 
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49199  29 
fun retype_free (Free (s, _)) T = Free (s, T); 
30 

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fun flat_list_comb (f, xss) = fold (fn xs => fn t => Term.list_comb (t, xs)) xss f 
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49200  33 
fun mk_tupled_fun x f xs = HOLogic.tupled_lambda x (Term.list_comb (f, xs)); 
34 
fun mk_uncurried_fun f xs = mk_tupled_fun (HOLogic.mk_tuple xs) f xs; 

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fun mk_uncurried2_fun f xss = 
49200  36 
mk_tupled_fun (HOLogic.mk_tuple (map HOLogic.mk_tuple xss)) f (flat xss); 
37 

49124  38 
fun cannot_merge_types () = error "Mutually recursive types must have the same type parameters"; 
49119  39 

40 
fun merge_type_arg_constrained ctxt (T, c) (T', c') = 

41 
if T = T' then 

42 
(case (c, c') of 

43 
(_, NONE) => (T, c) 

44 
 (NONE, _) => (T, c') 

45 
 _ => 

46 
if c = c' then 

47 
(T, c) 

48 
else 

49 
error ("Inconsistent sort constraints for type variable " ^ 

50 
quote (Syntax.string_of_typ ctxt T))) 

51 
else 

52 
cannot_merge_types (); 

53 

54 
fun merge_type_args_constrained ctxt (cAs, cAs') = 

55 
if length cAs = length cAs' then map2 (merge_type_arg_constrained ctxt) cAs cAs' 

56 
else cannot_merge_types (); 

57 

49121  58 
fun type_args_constrained_of (((cAs, _), _), _) = cAs; 
59 
val type_args_of = map fst o type_args_constrained_of; 

49129  60 
fun type_binder_of (((_, b), _), _) = b; 
49181  61 
fun mixfix_of ((_, mx), _) = mx; 
49121  62 
fun ctr_specs_of (_, ctr_specs) = ctr_specs; 
49119  63 

49121  64 
fun disc_of (((disc, _), _), _) = disc; 
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fun ctr_of (((_, ctr), _), _) = ctr; 

66 
fun args_of ((_, args), _) = args; 

49181  67 
fun ctr_mixfix_of (_, mx) = mx; 
49119  68 

49208  69 
fun prepare_datatype prepare_typ lfp specs fake_lthy no_defs_lthy = 
49112  70 
let 
49121  71 
val constrained_As = 
72 
map (map (apfst (prepare_typ fake_lthy)) o type_args_constrained_of) specs 

49204  73 
> Library.foldr1 (merge_type_args_constrained no_defs_lthy); 
49121  74 
val As = map fst constrained_As; 
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val As' = map dest_TFree As; 
49119  76 

49121  77 
val _ = (case duplicates (op =) As of [] => () 
49204  78 
 A :: _ => error ("Duplicate type parameter " ^ 
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quote (Syntax.string_of_typ no_defs_lthy A))); 

49119  80 

81 
(* TODO: use sort constraints on type args *) 

82 

83 
val N = length specs; 

84 

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fun mk_fake_T b = 
49121  86 
Type (fst (Term.dest_Type (Proof_Context.read_type_name fake_lthy true (Binding.name_of b))), 
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As); 

88 

49129  89 
val bs = map type_binder_of specs; 
49204  90 
val fakeTs = map mk_fake_T bs; 
49121  91 

49181  92 
val mixfixes = map mixfix_of specs; 
49119  93 

94 
val _ = (case duplicates Binding.eq_name bs of [] => () 

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 b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b))); 

96 

49121  97 
val ctr_specss = map ctr_specs_of specs; 
49119  98 

49129  99 
val disc_binderss = map (map disc_of) ctr_specss; 
100 
val ctr_binderss = map (map ctr_of) ctr_specss; 

49121  101 
val ctr_argsss = map (map args_of) ctr_specss; 
49181  102 
val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss; 
49119  103 

49129  104 
val sel_bindersss = map (map (map fst)) ctr_argsss; 
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val fake_ctr_Tsss = map (map (map (prepare_typ fake_lthy o snd))) ctr_argsss; 
49121  106 

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val rhs_As' = fold (fold (fold Term.add_tfreesT)) fake_ctr_Tsss []; 
49167  108 
val _ = (case subtract (op =) As' rhs_As' of 
49165  109 
[] => () 
110 
 A' :: _ => error ("Extra type variables on rhs: " ^ 

49204  111 
quote (Syntax.string_of_typ no_defs_lthy (TFree A')))); 
49165  112 

49176  113 
val ((Cs, Xs), _) = 
49204  114 
no_defs_lthy 
49121  115 
> fold (fold (fn s => Variable.declare_typ (TFree (s, dummyS))) o type_args_of) specs 
116 
> mk_TFrees N 

49176  117 
>> mk_TFrees N; 
49119  118 

49204  119 
fun eq_fpT (T as Type (s, Us)) (Type (s', Us')) = 
49146  120 
s = s' andalso (Us = Us' orelse error ("Illegal occurrence of recursive type " ^ 
121 
quote (Syntax.string_of_typ fake_lthy T))) 

49204  122 
 eq_fpT _ _ = false; 
49146  123 

49204  124 
fun freeze_fp (T as Type (s, Us)) = 
125 
(case find_index (eq_fpT T) fakeTs of ~1 => Type (s, map freeze_fp Us)  j => nth Xs j) 

126 
 freeze_fp T = T; 

49121  127 

49204  128 
val ctr_TsssXs = map (map (map freeze_fp)) fake_ctr_Tsss; 
49176  129 
val sum_prod_TsXs = map (mk_sumTN o map HOLogic.mk_tupleT) ctr_TsssXs; 
49119  130 

49176  131 
val eqs = map dest_TFree Xs ~~ sum_prod_TsXs; 
49121  132 

49207  133 
val (pre_map_defs, ((unfs0, flds0, fp_iters0, fp_recs0, unf_flds, fld_unfs, fld_injects, 
134 
fp_iter_thms, fp_rec_thms), lthy)) = 

49208  135 
fp_bnf (if lfp then bnf_lfp else bnf_gfp) bs mixfixes As' eqs no_defs_lthy; 
49121  136 

49167  137 
val timer = time (Timer.startRealTimer ()); 
138 

49176  139 
fun mk_unf_or_fld get_T Ts t = 
140 
let val Type (_, Ts0) = get_T (fastype_of t) in 

49124  141 
Term.subst_atomic_types (Ts0 ~~ Ts) t 
49121  142 
end; 
49119  143 

49126  144 
val mk_unf = mk_unf_or_fld domain_type; 
145 
val mk_fld = mk_unf_or_fld range_type; 

49121  146 

49203  147 
val unfs = map (mk_unf As) unfs0; 
148 
val flds = map (mk_fld As) flds0; 

49124  149 

49201  150 
val fpTs = map (domain_type o fastype_of) unfs; 
49204  151 
val is_fpT = member (op =) fpTs; 
152 

49201  153 
val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctr_TsssXs; 
49203  154 
val ns = map length ctr_Tsss; 
155 
val mss = map (map length) ctr_Tsss; 

156 
val Css = map2 replicate ns Cs; 

157 

49210  158 
fun mk_iter_like Ts Us c = 
49121  159 
let 
49201  160 
val (binders, body) = strip_type (fastype_of c); 
49210  161 
val (f_Us, prebody) = split_last binders; 
162 
val Type (_, Ts0) = if lfp then prebody else body; 

163 
val Us0 = distinct (op =) (map (if lfp then body_type else domain_type) f_Us); 

49176  164 
in 
49201  165 
Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) c 
49176  166 
end; 
167 

49210  168 
val fp_iters as fp_iter1 :: _ = map (mk_iter_like As Cs) fp_iters0; 
169 
val fp_recs as fp_rec1 :: _ = map (mk_iter_like As Cs) fp_recs0; 

170 

171 
val fp_iter_f_Ts = fst (split_last (binder_types (fastype_of fp_iter1))); 

172 
val fp_rec_f_Ts = fst (split_last (binder_types (fastype_of fp_rec1))); 

49204  173 

174 
fun dest_rec_pair (T as Type (@{type_name prod}, Us as [_, U])) = 

175 
if member (op =) Cs U then Us else [T] 

176 
 dest_rec_pair T = [T]; 

177 

49210  178 
val (((gss, g_Tss, ysss, y_Tsss), (hss, h_Tss, zssss, z_Tssss)), 
179 
(cs, (qss, q_Tss, gsss, g_Tsss), ())) = 

49208  180 
if lfp then 
181 
let 

182 
val y_Tsss = 

49210  183 
map3 (fn n => fn ms => map2 dest_tupleT ms o dest_sumTN n o domain_type) 
184 
ns mss fp_iter_f_Ts; 

49208  185 
val g_Tss = map2 (map2 (curry (op >))) y_Tsss Css; 
186 

187 
val ((gss, ysss), _) = 

188 
lthy 

189 
> mk_Freess "f" g_Tss 

190 
>> mk_Freesss "x" y_Tsss; 

49204  191 

49208  192 
val z_Tssss = 
49210  193 
map3 (fn n => fn ms => map2 (map dest_rec_pair oo dest_tupleT) ms o dest_sumTN n 
194 
o domain_type) ns mss fp_rec_f_Ts; 

49208  195 
val h_Tss = map2 (map2 (fold_rev (curry (op >)))) z_Tssss Css; 
49204  196 

49208  197 
val hss = map2 (map2 retype_free) gss h_Tss; 
198 
val (zssss, _) = 

199 
lthy 

200 
> mk_Freessss "x" z_Tssss; 

49210  201 
in 
202 
(((gss, g_Tss, ysss, y_Tsss), (hss, h_Tss, zssss, z_Tssss)), 

203 
([], ([], [], [], []), ())) 

204 
end 

49208  205 
else 
49210  206 
let 
207 
val q_Tss = 

208 
map2 (fn C => fn n => replicate (Int.max (0, n  1)) (C > HOLogic.boolT)) Cs ns; 

209 
val g_Tsss = 

210 
map4 (fn C => fn n => fn ms => map2 (map (curry (op >) C) oo dest_tupleT) ms o 

211 
dest_sumTN n o range_type) Cs ns mss fp_iter_f_Ts; 

49176  212 

49210  213 
val (((c, qss), gsss), _) = 
214 
lthy 

215 
> yield_singleton (mk_Frees "c") dummyT 

216 
>> mk_Freess "p" q_Tss 

217 
>> mk_Freesss "g" g_Tsss; 

218 

219 
val cs = map (retype_free c) Cs; 

220 
in 

221 
((([], [], [], []), ([], [], [], [])), 

222 
(cs, (qss, q_Tss, gsss, g_Tsss), ())) 

223 
end; 

224 

225 
fun pour_some_sugar_on_type ((((((((((((((b, fpT), C), fld), unf), fp_iter), fp_rec), fld_unf), 

226 
unf_fld), fld_inject), ctr_binders), ctr_mixfixes), ctr_Tss), disc_binders), 

227 
sel_binderss) no_defs_lthy = 

49176  228 
let 
229 
val n = length ctr_Tss; 

49121  230 
val ks = 1 upto n; 
231 
val ms = map length ctr_Tss; 

232 

49201  233 
val unfT = domain_type (fastype_of fld); 
49210  234 
val ctr_prod_Ts = map HOLogic.mk_tupleT ctr_Tss; 
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val case_Ts = map (fn Ts => Ts > C) ctr_Tss; 
49119  236 

49176  237 
val ((((u, v), fs), xss), _) = 
49204  238 
no_defs_lthy 
49201  239 
> yield_singleton (mk_Frees "u") unfT 
240 
>> yield_singleton (mk_Frees "v") fpT 

49176  241 
>> mk_Frees "f" case_Ts 
49124  242 
>> mk_Freess "x" ctr_Tss; 
49121  243 

49129  244 
val ctr_rhss = 
49121  245 
map2 (fn k => fn xs => 
49210  246 
fold_rev Term.lambda xs (fld $ mk_InN ctr_prod_Ts (HOLogic.mk_tuple xs) k)) ks xss; 
49121  247 

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val case_binder = Binding.suffix_name ("_" ^ caseN) b; 
49129  249 

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val case_rhs = 
49176  251 
fold_rev Term.lambda (fs @ [v]) (mk_sum_caseN (map2 mk_uncurried_fun fs xss) $ (unf $ v)); 
49129  252 

49201  253 
val ((raw_case :: raw_ctrs, raw_case_def :: raw_ctr_defs), (lthy', lthy)) = no_defs_lthy 
49169  254 
> apfst split_list o fold_map3 (fn b => fn mx => fn rhs => 
255 
Local_Theory.define ((b, mx), ((Thm.def_binding b, []), rhs)) #>> apsnd snd) 

49201  256 
(case_binder :: ctr_binders) (NoSyn :: ctr_mixfixes) (case_rhs :: ctr_rhss) 
49121  257 
> `Local_Theory.restore; 
258 

259 
(*transforms defined frees into consts (and more)*) 

260 
val phi = Proof_Context.export_morphism lthy lthy'; 

261 

262 
val ctr_defs = map (Morphism.thm phi) raw_ctr_defs; 

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val case_def = Morphism.thm phi raw_case_def; 
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49203  265 
val ctrs0 = map (Morphism.term phi) raw_ctrs; 
266 
val casex0 = Morphism.term phi raw_case; 

267 

268 
val ctrs = map (mk_ctr As) ctrs0; 

49121  269 

49135  270 
fun exhaust_tac {context = ctxt, ...} = 
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let 
49135  272 
val fld_iff_unf_thm = 
273 
let 

274 
val goal = 

275 
fold_rev Logic.all [u, v] 

276 
(mk_Trueprop_eq (HOLogic.mk_eq (v, fld $ u), HOLogic.mk_eq (unf $ v, u))); 

277 
in 

278 
Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} => 

49201  279 
mk_fld_iff_unf_tac ctxt (map (SOME o certifyT lthy) [unfT, fpT]) 
49176  280 
(certify lthy fld) (certify lthy unf) fld_unf unf_fld) 
49135  281 
> Thm.close_derivation 
282 
> Morphism.thm phi 

283 
end; 

284 

285 
val sumEN_thm' = 

286 
Local_Defs.unfold lthy @{thms all_unit_eq} 

49210  287 
(Drule.instantiate' (map (SOME o certifyT lthy) ctr_prod_Ts) [] (mk_sumEN n)) 
49135  288 
> Morphism.thm phi; 
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in 
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mk_exhaust_tac ctxt n ctr_defs fld_iff_unf_thm sumEN_thm' 
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291 
end; 
49121  292 

49126  293 
val inject_tacss = 
49205  294 
map2 (fn 0 => K []  _ => fn ctr_def => [fn {context = ctxt, ...} => 
295 
mk_inject_tac ctxt ctr_def fld_inject]) ms ctr_defs; 

49126  296 

49127  297 
val half_distinct_tacss = 
298 
map (map (fn (def, def') => fn {context = ctxt, ...} => 

299 
mk_half_distinct_tac ctxt fld_inject [def, def'])) (mk_half_pairss ctr_defs); 

300 

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val case_tacs = 
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map3 (fn k => fn m => fn ctr_def => fn {context = ctxt, ...} => 
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mk_case_tac ctxt n k m case_def ctr_def unf_fld) ks ms ctr_defs; 
49121  304 

305 
val tacss = [exhaust_tac] :: inject_tacss @ half_distinct_tacss @ [case_tacs]; 

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49210  307 
fun some_lfp_sugar no_defs_lthy = 
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308 
let 
49208  309 
val fpT_to_C = fpT > C; 
310 
val iter_T = fold_rev (curry (op >)) g_Tss fpT_to_C; 

311 
val rec_T = fold_rev (curry (op >)) h_Tss fpT_to_C; 

49199  312 

313 
val iter_binder = Binding.suffix_name ("_" ^ iterN) b; 

314 
val rec_binder = Binding.suffix_name ("_" ^ recN) b; 

315 

316 
val iter_free = Free (Binding.name_of iter_binder, iter_T); 

317 
val rec_free = Free (Binding.name_of rec_binder, rec_T); 

318 

319 
val iter_spec = 

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320 
mk_Trueprop_eq (flat_list_comb (iter_free, gss), 
49199  321 
Term.list_comb (fp_iter, map2 (mk_sum_caseN oo map2 mk_uncurried_fun) gss ysss)); 
322 
val rec_spec = 

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mk_Trueprop_eq (flat_list_comb (rec_free, hss), 
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324 
Term.list_comb (fp_rec, map2 (mk_sum_caseN oo map2 mk_uncurried2_fun) hss zssss)); 
49199  325 

326 
val (([raw_iter, raw_rec], [raw_iter_def, raw_rec_def]), (lthy', lthy)) = no_defs_lthy 

49201  327 
> apfst split_list o fold_map2 (fn b => fn spec => 
49199  328 
Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec)) 
49201  329 
#>> apsnd snd) [iter_binder, rec_binder] [iter_spec, rec_spec] 
49199  330 
> `Local_Theory.restore; 
49201  331 

332 
(*transforms defined frees into consts (and more)*) 

333 
val phi = Proof_Context.export_morphism lthy lthy'; 

334 

335 
val iter_def = Morphism.thm phi raw_iter_def; 

336 
val rec_def = Morphism.thm phi raw_rec_def; 

337 

49203  338 
val iter0 = Morphism.term phi raw_iter; 
339 
val rec0 = Morphism.term phi raw_rec; 

340 

49210  341 
val iter = mk_iter_like As Cs iter0; 
342 
val recx = mk_iter_like As Cs rec0; 

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343 
in 
49205  344 
((ctrs, iter, recx, xss, ctr_defs, iter_def, rec_def), lthy) 
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end; 
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346 

49210  347 
fun some_gfp_sugar no_defs_lthy = 
348 
let 

349 
(* qss, q_Tss, gsss, g_Tsss *) 

350 
fun zip_preds_and_getters p_Ts f_Tss = p_Ts @ flat f_Tss; 

351 

352 
val qg_Tss = map2 zip_preds_and_getters q_Tss g_Tsss; 

353 

354 
val B_to_fpT = C > fpT; 

355 
val coiter_T = fold_rev (curry (op >)) qg_Tss B_to_fpT; 

356 
(* 

357 
val corec_T = fold_rev (curry (op >)) h_Tss fpT_to_C; 

358 
*) 

359 

360 
val qgss = map2 zip_preds_and_getters qss gsss; 

361 
val cqss = map2 (fn c => map (fn q => q $ c)) cs qss; 

362 
val cgsss = map2 (fn c => map (map (fn g => g $ c))) cs gsss; 

363 

364 
val coiter_binder = Binding.suffix_name ("_" ^ coiterN) b; 

365 
val corec_binder = Binding.suffix_name ("_" ^ corecN) b; 

366 

367 
val coiter_free = Free (Binding.name_of coiter_binder, coiter_T); 

368 
(* 

369 
val corec_free = Free (Binding.name_of corec_binder, corec_T); 

370 
*) 

371 

372 
val coiter_sum_prod_Ts = map range_type fp_iter_f_Ts; 

373 
val coiter_prod_Tss = map2 dest_sumTN ns coiter_sum_prod_Ts; 

374 

375 
fun mk_join c n cqs sum_prod_T prod_Ts cgss = 

376 
Term.lambda c (mk_IfN sum_prod_T cqs 

377 
(map2 (mk_InN prod_Ts) (map HOLogic.mk_tuple cgss) (1 upto n))); 

378 

379 
val coiter_spec = 

380 
mk_Trueprop_eq (flat_list_comb (coiter_free, qgss), 

381 
Term.list_comb (fp_iter, 

382 
map6 mk_join cs ns cqss coiter_sum_prod_Ts coiter_prod_Tss cgsss)); 

383 
(* 

384 
val corec_spec = 

385 
mk_Trueprop_eq (flat_list_comb (corec_free, hss), 

386 
Term.list_comb (fp_rec, map2 (mk_sum_caseN oo map2 mk_uncurried2_fun) hss zssss)); 

387 
*) 

388 

389 
val (([raw_coiter (*, raw_corec*)], [raw_coiter_def (*, raw_corec_def*)]), (lthy', lthy)) = no_defs_lthy 

390 
> apfst split_list o fold_map2 (fn b => fn spec => 

391 
Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec)) 

392 
#>> apsnd snd) [coiter_binder (*, corec_binder*)] [coiter_spec (*, corec_spec*)] 

393 
> `Local_Theory.restore; 

394 

395 
(*transforms defined frees into consts (and more)*) 

396 
val phi = Proof_Context.export_morphism lthy lthy'; 

397 

398 
val coiter_def = Morphism.thm phi raw_coiter_def; 

399 
(* 

400 
val corec_def = Morphism.thm phi raw_corec_def; 

401 
*) 

402 

403 
val coiter0 = Morphism.term phi raw_coiter; 

404 
(* 

405 
val corec0 = Morphism.term phi raw_corec; 

406 
*) 

407 

408 
val coiter = mk_iter_like As Cs coiter0; 

409 
(* 

410 
val corec = mk_iter_like As Cs corec0; 

411 
*) 

412 

413 
(*###*) 

414 
val corec = @{term True}; 

415 
val corec_def = TrueI; 

416 
in 

417 
((ctrs, coiter, corec, xss, ctr_defs, coiter_def, corec_def), lthy) 

418 
end; 

49119  419 
in 
49203  420 
wrap_datatype tacss ((ctrs0, casex0), (disc_binders, sel_binderss)) lthy' 
49210  421 
> (if lfp then some_lfp_sugar else some_gfp_sugar) 
49119  422 
end; 
49167  423 

49205  424 
fun pour_more_sugar_on_datatypes ((ctrss, iters, recs, xsss, ctr_defss, iter_defs, rec_defs), 
425 
lthy) = 

49202
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426 
let 
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427 
val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss; 
49204  428 
val giters = map (fn iter => flat_list_comb (iter, gss)) iters; 
429 
val hrecs = map (fn recx => flat_list_comb (recx, hss)) recs; 

49201  430 

49202
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431 
val (iter_thmss, rec_thmss) = 
49207  432 
let 
49204  433 
fun mk_goal_iter_or_rec fss fc xctr f xs xs' = 
49207  434 
fold_rev (fold_rev Logic.all) (xs :: fss) 
435 
(mk_Trueprop_eq (fc $ xctr, Term.list_comb (f, xs'))); 

49204  436 

437 
fun fix_iter_free (x as Free (_, T)) = 

438 
(case find_index (eq_fpT T) fpTs of ~1 => x  j => nth giters j $ x); 

439 
fun fix_rec_free (x as Free (_, T)) = 

440 
(case find_index (eq_fpT T) fpTs of ~1 => [x]  j => [x, nth hrecs j $ x]); 

49201  441 

49204  442 
val iter_xsss = map (map (map fix_iter_free)) xsss; 
443 
val rec_xsss = map (map (maps fix_rec_free)) xsss; 

444 

445 
val goal_iterss = 

446 
map5 (map4 o mk_goal_iter_or_rec gss) giters xctrss gss xsss iter_xsss; 

447 
val goal_recss = 

448 
map5 (map4 o mk_goal_iter_or_rec hss) hrecs xctrss hss xsss rec_xsss; 

449 

49203  450 
val iter_tacss = 
49207  451 
map2 (map o mk_iter_or_rec_tac pre_map_defs iter_defs) fp_iter_thms ctr_defss; 
49203  452 
val rec_tacss = 
49207  453 
map2 (map o mk_iter_or_rec_tac pre_map_defs rec_defs) fp_rec_thms ctr_defss; 
49202
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454 
in 
49205  455 
(map2 (map2 (fn goal => fn tac => Skip_Proof.prove lthy [] [] goal (tac o #context))) 
456 
goal_iterss iter_tacss, 

457 
map2 (map2 (fn goal => fn tac => Skip_Proof.prove lthy [] [] goal (tac o #context))) 

458 
goal_recss rec_tacss) 

49202
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459 
end; 
49201  460 

49202
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461 
val notes = 
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462 
[(itersN, iter_thmss), 
f493cd25737f
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463 
(recsN, rec_thmss)] 
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464 
> maps (fn (thmN, thmss) => 
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465 
map2 (fn b => fn thms => 
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466 
((Binding.qualify true (Binding.name_of b) (Binding.name thmN), []), [(thms, [])])) 
f493cd25737f
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467 
bs thmss); 
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468 
in 
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469 
lthy > Local_Theory.notes notes > snd 
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470 
end; 
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471 

49204  472 
val lthy' = lthy 
49210  473 
> fold_map pour_some_sugar_on_type (bs ~~ fpTs ~~ Cs ~~ flds ~~ unfs ~~ fp_iters ~~ 
474 
fp_recs ~~ fld_unfs ~~ unf_flds ~~ fld_injects ~~ ctr_binderss ~~ ctr_mixfixess ~~ 

475 
ctr_Tsss ~~ disc_binderss ~~ sel_bindersss) 

49205  476 
>> split_list7 
49208  477 
> (if lfp then pour_more_sugar_on_datatypes else snd); 
49167  478 

479 
val timer = time (timer ("Constructors, discriminators, selectors, etc., for the new " ^ 

49208  480 
(if lfp then "" else "co") ^ "datatype")); 
49112  481 
in 
49204  482 
(timer; lthy') 
49112  483 
end; 
484 

49199  485 
fun datatype_cmd info specs lthy = 
49121  486 
let 
49209  487 
(* TODO: cleaner handling of fake contexts, without "background_theory" *) 
49184
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488 
(*the "perhaps o try" below helps gracefully handles the case where the new type is defined in a 
83fdea0c4779
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489 
locale and shadows an existing global type*) 
49179
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490 
val fake_thy = Theory.copy 
49184
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changeset

491 
#> fold (fn spec => perhaps (try (Sign.add_type lthy 
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492 
(type_binder_of spec, length (type_args_constrained_of spec), mixfix_of spec)))) specs; 
49179
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diff
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493 
val fake_lthy = Proof_Context.background_theory fake_thy lthy; 
49121  494 
in 
49199  495 
prepare_datatype Syntax.read_typ info specs fake_lthy lthy 
49121  496 
end; 
49119  497 

49129  498 
val parse_opt_binding_colon = Scan.optional (Parse.binding  Parse.$$$ ":") no_binder 
49119  499 

49112  500 
val parse_ctr_arg = 
49119  501 
Parse.$$$ "("  parse_opt_binding_colon  Parse.typ  Parse.$$$ ")"  
49129  502 
(Parse.typ >> pair no_binder); 
49112  503 

504 
val parse_single_spec = 

505 
Parse.type_args_constrained  Parse.binding  Parse.opt_mixfix  

49119  506 
(@{keyword "="}  Parse.enum1 "" (parse_opt_binding_colon  Parse.binding  
507 
Scan.repeat parse_ctr_arg  Parse.opt_mixfix)); 

49112  508 

509 
val _ = 

510 
Outer_Syntax.local_theory @{command_spec "data"} "define BNFbased inductive datatypes" 

49208  511 
(Parse.and_list1 parse_single_spec >> datatype_cmd true); 
49112  512 

513 
val _ = 

514 
Outer_Syntax.local_theory @{command_spec "codata"} "define BNFbased coinductive datatypes" 

49208  515 
(Parse.and_list1 parse_single_spec >> datatype_cmd false); 
49112  516 

517 
end; 