author  blanchet 
Sat, 08 Sep 2012 21:04:26 +0200  
changeset 49211  239a4fa29ddf 
parent 49210  656fb50d33f0 
child 49212  ca59649170b0 
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 

5 
Sugar for constructing LFPs and GFPs. 

6 
*) 

7 

8 
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 = 

14 
struct 

15 

49119  16 
open BNF_Util 
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open BNF_Wrap 

18 
open BNF_FP_Util 

19 
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); 
28 

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; 
65 
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))), 
87 
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 [] => () 

95 
 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 

49211  171 
val fp_iter_g_Ts = fst (split_last (binder_types (fastype_of fp_iter1))); 
172 
val fp_rec_h_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)), 
49211  179 
(cs, pss, p_Tss, coiter_extra, corec_extra)) = 
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) 
49211  184 
ns mss fp_iter_g_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 
49211  194 
o domain_type) ns mss fp_rec_h_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)), 

49211  203 
([], [], [], ([], [], [], []), ([], [], [], []))) 
49210  204 
end 
49208  205 
else 
49210  206 
let 
49211  207 
fun mk_to_dest_prodT C = map2 (map (curry (op >) C) oo dest_tupleT); 
208 

209 
val p_Tss = 

49210  210 
map2 (fn C => fn n => replicate (Int.max (0, n  1)) (C > HOLogic.boolT)) Cs ns; 
49211  211 

212 
val g_sum_prod_Ts = map range_type fp_iter_g_Ts; 

213 
val g_prod_Tss = map2 dest_sumTN ns g_sum_prod_Ts; 

214 
val g_Tsss = map3 mk_to_dest_prodT Cs mss g_prod_Tss; 

49176  215 

49211  216 
val h_sum_prod_Ts = map range_type fp_rec_h_Ts; 
217 
val h_prod_Tss = map2 dest_sumTN ns h_sum_prod_Ts; 

218 
val h_Tsss = map3 mk_to_dest_prodT Cs mss h_prod_Tss; 

219 

220 
val (((c, pss), gsss), _) = 

49210  221 
lthy 
222 
> yield_singleton (mk_Frees "c") dummyT 

49211  223 
>> mk_Freess "p" p_Tss 
49210  224 
>> mk_Freesss "g" g_Tsss; 
225 

49211  226 
val hsss = map2 (map2 (map2 retype_free)) gsss h_Tsss; 
227 

49210  228 
val cs = map (retype_free c) Cs; 
229 
in 

230 
((([], [], [], []), ([], [], [], [])), 

49211  231 
(cs, pss, p_Tss, (gsss, g_sum_prod_Ts, g_prod_Tss, g_Tsss), 
232 
(hsss, h_sum_prod_Ts, h_prod_Tss, h_Tsss))) 

49210  233 
end; 
234 

235 
fun pour_some_sugar_on_type ((((((((((((((b, fpT), C), fld), unf), fp_iter), fp_rec), fld_unf), 

236 
unf_fld), fld_inject), ctr_binders), ctr_mixfixes), ctr_Tss), disc_binders), 

237 
sel_binderss) no_defs_lthy = 

49176  238 
let 
239 
val n = length ctr_Tss; 

49121  240 
val ks = 1 upto n; 
241 
val ms = map length ctr_Tss; 

242 

49201  243 
val unfT = domain_type (fastype_of fld); 
49210  244 
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  246 

49176  247 
val ((((u, v), fs), xss), _) = 
49204  248 
no_defs_lthy 
49201  249 
> yield_singleton (mk_Frees "u") unfT 
250 
>> yield_singleton (mk_Frees "v") fpT 

49176  251 
>> mk_Frees "f" case_Ts 
49124  252 
>> mk_Freess "x" ctr_Tss; 
49121  253 

49129  254 
val ctr_rhss = 
49121  255 
map2 (fn k => fn xs => 
49210  256 
fold_rev Term.lambda xs (fld $ mk_InN ctr_prod_Ts (HOLogic.mk_tuple xs) k)) ks xss; 
49121  257 

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val case_binder = Binding.suffix_name ("_" ^ caseN) b; 
49129  259 

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val case_rhs = 
49176  261 
fold_rev Term.lambda (fs @ [v]) (mk_sum_caseN (map2 mk_uncurried_fun fs xss) $ (unf $ v)); 
49129  262 

49201  263 
val ((raw_case :: raw_ctrs, raw_case_def :: raw_ctr_defs), (lthy', lthy)) = no_defs_lthy 
49169  264 
> apfst split_list o fold_map3 (fn b => fn mx => fn rhs => 
265 
Local_Theory.define ((b, mx), ((Thm.def_binding b, []), rhs)) #>> apsnd snd) 

49201  266 
(case_binder :: ctr_binders) (NoSyn :: ctr_mixfixes) (case_rhs :: ctr_rhss) 
49121  267 
> `Local_Theory.restore; 
268 

269 
(*transforms defined frees into consts (and more)*) 

270 
val phi = Proof_Context.export_morphism lthy lthy'; 

271 

272 
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  275 
val ctrs0 = map (Morphism.term phi) raw_ctrs; 
276 
val casex0 = Morphism.term phi raw_case; 

277 

278 
val ctrs = map (mk_ctr As) ctrs0; 

49121  279 

49135  280 
fun exhaust_tac {context = ctxt, ...} = 
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let 
49135  282 
val fld_iff_unf_thm = 
283 
let 

284 
val goal = 

285 
fold_rev Logic.all [u, v] 

286 
(mk_Trueprop_eq (HOLogic.mk_eq (v, fld $ u), HOLogic.mk_eq (unf $ v, u))); 

287 
in 

288 
Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} => 

49201  289 
mk_fld_iff_unf_tac ctxt (map (SOME o certifyT lthy) [unfT, fpT]) 
49176  290 
(certify lthy fld) (certify lthy unf) fld_unf unf_fld) 
49135  291 
> Thm.close_derivation 
292 
> Morphism.thm phi 

293 
end; 

294 

295 
val sumEN_thm' = 

296 
Local_Defs.unfold lthy @{thms all_unit_eq} 

49210  297 
(Drule.instantiate' (map (SOME o certifyT lthy) ctr_prod_Ts) [] (mk_sumEN n)) 
49135  298 
> 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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301 
end; 
49121  302 

49126  303 
val inject_tacss = 
49205  304 
map2 (fn 0 => K []  _ => fn ctr_def => [fn {context = ctxt, ...} => 
305 
mk_inject_tac ctxt ctr_def fld_inject]) ms ctr_defs; 

49126  306 

49127  307 
val half_distinct_tacss = 
308 
map (map (fn (def, def') => fn {context = ctxt, ...} => 

309 
mk_half_distinct_tac ctxt fld_inject [def, def'])) (mk_half_pairss ctr_defs); 

310 

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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  314 

315 
val tacss = [exhaust_tac] :: inject_tacss @ half_distinct_tacss @ [case_tacs]; 

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49210  317 
fun some_lfp_sugar no_defs_lthy = 
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318 
let 
49208  319 
val fpT_to_C = fpT > C; 
320 
val iter_T = fold_rev (curry (op >)) g_Tss fpT_to_C; 

321 
val rec_T = fold_rev (curry (op >)) h_Tss fpT_to_C; 

49199  322 

323 
val iter_binder = Binding.suffix_name ("_" ^ iterN) b; 

324 
val rec_binder = Binding.suffix_name ("_" ^ recN) b; 

325 

326 
val iter_spec = 

49211  327 
mk_Trueprop_eq (flat_list_comb (Free (Binding.name_of iter_binder, iter_T), gss), 
49199  328 
Term.list_comb (fp_iter, map2 (mk_sum_caseN oo map2 mk_uncurried_fun) gss ysss)); 
329 
val rec_spec = 

49211  330 
mk_Trueprop_eq (flat_list_comb (Free (Binding.name_of rec_binder, rec_T), hss), 
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331 
Term.list_comb (fp_rec, map2 (mk_sum_caseN oo map2 mk_uncurried2_fun) hss zssss)); 
49199  332 

333 
val (([raw_iter, raw_rec], [raw_iter_def, raw_rec_def]), (lthy', lthy)) = no_defs_lthy 

49201  334 
> apfst split_list o fold_map2 (fn b => fn spec => 
49199  335 
Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec)) 
49201  336 
#>> apsnd snd) [iter_binder, rec_binder] [iter_spec, rec_spec] 
49199  337 
> `Local_Theory.restore; 
49201  338 

339 
(*transforms defined frees into consts (and more)*) 

340 
val phi = Proof_Context.export_morphism lthy lthy'; 

341 

342 
val iter_def = Morphism.thm phi raw_iter_def; 

343 
val rec_def = Morphism.thm phi raw_rec_def; 

344 

49203  345 
val iter0 = Morphism.term phi raw_iter; 
346 
val rec0 = Morphism.term phi raw_rec; 

347 

49210  348 
val iter = mk_iter_like As Cs iter0; 
349 
val recx = mk_iter_like As Cs rec0; 

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350 
in 
49205  351 
((ctrs, iter, recx, xss, ctr_defs, iter_def, rec_def), lthy) 
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end; 
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353 

49210  354 
fun some_gfp_sugar no_defs_lthy = 
355 
let 

49211  356 
fun zip_preds_and_getters ps fss = ps @ flat fss; 
49210  357 

358 
val B_to_fpT = C > fpT; 

49211  359 

360 
val cpss = map2 (fn c => map (fn p => p $ c)) cs pss; 

49210  361 

49211  362 
fun generate_coiter_like (suf, fp_iter_like, 
363 
(fsss, f_sum_prod_Ts, f_prod_Tss, f_Tsss)) = 

364 
let 

365 
val pf_Tss = map2 zip_preds_and_getters p_Tss f_Tsss; 

366 
val res_T = fold_rev (curry (op >)) pf_Tss B_to_fpT; 

49210  367 

49211  368 
val pfss = map2 zip_preds_and_getters pss fsss; 
369 
val cfsss = map2 (fn c => map (map (fn f => f $ c))) cs fsss; 

49210  370 

49211  371 
val binder = Binding.suffix_name ("_" ^ suf) b; 
49210  372 

49211  373 
fun mk_join c n cps sum_prod_T prod_Ts cfss = 
374 
Term.lambda c (mk_IfN sum_prod_T cps 

375 
(map2 (mk_InN prod_Ts) (map HOLogic.mk_tuple cfss) (1 upto n))); 

49210  376 

49211  377 
val spec = 
378 
mk_Trueprop_eq (flat_list_comb (Free (Binding.name_of binder, res_T), pfss), 

379 
Term.list_comb (fp_iter_like, 

380 
map6 mk_join cs ns cpss f_sum_prod_Ts f_prod_Tss cfsss)); 

381 
in (binder, spec) end; 

49210  382 

49211  383 
val coiter_likes = [(coiterN, fp_iter, coiter_extra), (corecN, fp_rec, corec_extra)]; 
384 
val (binders, specs) = map generate_coiter_like coiter_likes > split_list; 

385 

386 
val ((csts, defs), (lthy', lthy)) = no_defs_lthy 

49210  387 
> apfst split_list o fold_map2 (fn b => fn spec => 
388 
Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec)) 

49211  389 
#>> apsnd snd) binders specs 
49210  390 
> `Local_Theory.restore; 
391 

392 
(*transforms defined frees into consts (and more)*) 

393 
val phi = Proof_Context.export_morphism lthy lthy'; 

394 

49211  395 
val [coiter_def, corec_def] = map (Morphism.thm phi) defs; 
49210  396 

49211  397 
val [coiter, corec] = map (mk_iter_like As Cs o Morphism.term phi) csts; 
49210  398 
in 
399 
((ctrs, coiter, corec, xss, ctr_defs, coiter_def, corec_def), lthy) 

400 
end; 

49119  401 
in 
49203  402 
wrap_datatype tacss ((ctrs0, casex0), (disc_binders, sel_binderss)) lthy' 
49210  403 
> (if lfp then some_lfp_sugar else some_gfp_sugar) 
49119  404 
end; 
49167  405 

49205  406 
fun pour_more_sugar_on_datatypes ((ctrss, iters, recs, xsss, ctr_defss, iter_defs, rec_defs), 
407 
lthy) = 

49202
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408 
let 
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409 
val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss; 
49204  410 
val giters = map (fn iter => flat_list_comb (iter, gss)) iters; 
411 
val hrecs = map (fn recx => flat_list_comb (recx, hss)) recs; 

49201  412 

49202
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413 
val (iter_thmss, rec_thmss) = 
49207  414 
let 
49211  415 
fun mk_goal_iter_like fss fc xctr f xs xs' = 
49207  416 
fold_rev (fold_rev Logic.all) (xs :: fss) 
417 
(mk_Trueprop_eq (fc $ xctr, Term.list_comb (f, xs'))); 

49204  418 

419 
fun fix_iter_free (x as Free (_, T)) = 

420 
(case find_index (eq_fpT T) fpTs of ~1 => x  j => nth giters j $ x); 

421 
fun fix_rec_free (x as Free (_, T)) = 

422 
(case find_index (eq_fpT T) fpTs of ~1 => [x]  j => [x, nth hrecs j $ x]); 

49201  423 

49204  424 
val iter_xsss = map (map (map fix_iter_free)) xsss; 
425 
val rec_xsss = map (map (maps fix_rec_free)) xsss; 

426 

49211  427 
val goal_iterss = map5 (map4 o mk_goal_iter_like gss) giters xctrss gss xsss iter_xsss; 
428 
val goal_recss = map5 (map4 o mk_goal_iter_like hss) hrecs xctrss hss xsss rec_xsss; 

49204  429 

49203  430 
val iter_tacss = 
49211  431 
map2 (map o mk_iter_like_tac pre_map_defs iter_defs) fp_iter_thms ctr_defss; 
49203  432 
val rec_tacss = 
49211  433 
map2 (map o mk_iter_like_tac pre_map_defs rec_defs) fp_rec_thms ctr_defss; 
49202
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434 
in 
49205  435 
(map2 (map2 (fn goal => fn tac => Skip_Proof.prove lthy [] [] goal (tac o #context))) 
436 
goal_iterss iter_tacss, 

437 
map2 (map2 (fn goal => fn tac => Skip_Proof.prove lthy [] [] goal (tac o #context))) 

438 
goal_recss rec_tacss) 

49202
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439 
end; 
49201  440 

49202
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441 
val notes = 
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442 
[(itersN, iter_thmss), 
f493cd25737f
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443 
(recsN, rec_thmss)] 
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444 
> maps (fn (thmN, thmss) => 
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445 
map2 (fn b => fn thms => 
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446 
((Binding.qualify true (Binding.name_of b) (Binding.name thmN), []), [(thms, [])])) 
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447 
bs thmss); 
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448 
in 
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449 
lthy > Local_Theory.notes notes > snd 
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450 
end; 
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451 

49204  452 
val lthy' = lthy 
49210  453 
> fold_map pour_some_sugar_on_type (bs ~~ fpTs ~~ Cs ~~ flds ~~ unfs ~~ fp_iters ~~ 
454 
fp_recs ~~ fld_unfs ~~ unf_flds ~~ fld_injects ~~ ctr_binderss ~~ ctr_mixfixess ~~ 

455 
ctr_Tsss ~~ disc_binderss ~~ sel_bindersss) 

49205  456 
>> split_list7 
49208  457 
> (if lfp then pour_more_sugar_on_datatypes else snd); 
49167  458 

459 
val timer = time (timer ("Constructors, discriminators, selectors, etc., for the new " ^ 

49208  460 
(if lfp then "" else "co") ^ "datatype")); 
49112  461 
in 
49204  462 
(timer; lthy') 
49112  463 
end; 
464 

49199  465 
fun datatype_cmd info specs lthy = 
49121  466 
let 
49209  467 
(* TODO: cleaner handling of fake contexts, without "background_theory" *) 
49184
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468 
(*the "perhaps o try" below helps gracefully handles the case where the new type is defined in a 
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469 
locale and shadows an existing global type*) 
49179
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470 
val fake_thy = Theory.copy 
49184
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471 
#> fold (fn spec => perhaps (try (Sign.add_type lthy 
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472 
(type_binder_of spec, length (type_args_constrained_of spec), mixfix_of spec)))) specs; 
49179
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473 
val fake_lthy = Proof_Context.background_theory fake_thy lthy; 
49121  474 
in 
49199  475 
prepare_datatype Syntax.read_typ info specs fake_lthy lthy 
49121  476 
end; 
49119  477 

49129  478 
val parse_opt_binding_colon = Scan.optional (Parse.binding  Parse.$$$ ":") no_binder 
49119  479 

49112  480 
val parse_ctr_arg = 
49119  481 
Parse.$$$ "("  parse_opt_binding_colon  Parse.typ  Parse.$$$ ")"  
49129  482 
(Parse.typ >> pair no_binder); 
49112  483 

484 
val parse_single_spec = 

485 
Parse.type_args_constrained  Parse.binding  Parse.opt_mixfix  

49119  486 
(@{keyword "="}  Parse.enum1 "" (parse_opt_binding_colon  Parse.binding  
487 
Scan.repeat parse_ctr_arg  Parse.opt_mixfix)); 

49112  488 

489 
val _ = 

490 
Outer_Syntax.local_theory @{command_spec "data"} "define BNFbased inductive datatypes" 

49208  491 
(Parse.and_list1 parse_single_spec >> datatype_cmd true); 
49112  492 

493 
val _ = 

494 
Outer_Syntax.local_theory @{command_spec "codata"} "define BNFbased coinductive datatypes" 

49208  495 
(Parse.and_list1 parse_single_spec >> datatype_cmd false); 
49112  496 

497 
end; 