author | blanchet |
Tue, 11 Sep 2012 14:51:52 +0200 | |
changeset 49278 | 718e4ad1517e |
parent 49277 | aee77001243f |
child 49280 | 52413dc96326 |
permissions | -rw-r--r-- |
49112 | 1 |
(* Title: HOL/Codatatype/Tools/bnf_fp_sugar.ML |
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Author: Jasmin Blanchette, TU Muenchen |
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Copyright 2012 |
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||
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Sugar for constructing LFPs and GFPs. |
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*) |
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||
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signature BNF_FP_SUGAR = |
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sig |
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49205 | 10 |
(* TODO: programmatic interface *) |
49112 | 11 |
end; |
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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_Def |
49119 | 19 |
open BNF_FP_Util |
20 |
open BNF_LFP |
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21 |
open BNF_GFP |
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22 |
open BNF_FP_Sugar_Tactics |
49119 | 23 |
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49129 | 24 |
val caseN = "case"; |
49213 | 25 |
val coitersN = "coiters"; |
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val corecsN = "corecs"; |
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49266 | 27 |
val disc_coitersN = "disc_coiters"; |
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val disc_corecsN = "disc_corecs"; |
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val itersN = "iters"; |
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val recsN = "recs"; |
49266 | 31 |
val sel_coitersN = "sel_coiters"; |
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val sel_corecsN = "sel_corecs"; |
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49129 | 33 |
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49266 | 34 |
fun split_list11 xs = |
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(map #1 xs, map #2 xs, map #3 xs, map #4 xs, map #5 xs, map #6 xs, map #7 xs, map #8 xs, |
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map #9 xs, map #10 xs, map #11 xs); |
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49217 | 38 |
fun strip_map_type (Type (@{type_name fun}, [T as Type _, T'])) = strip_map_type T' |>> cons T |
39 |
| strip_map_type T = ([], T); |
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40 |
||
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fun typ_subst inst (T as Type (s, Ts)) = |
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(case AList.lookup (op =) inst T of |
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NONE => Type (s, map (typ_subst inst) Ts) |
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| SOME T' => T') |
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| typ_subst inst T = the_default T (AList.lookup (op =) inst T); |
49205 | 46 |
|
49199 | 47 |
fun retype_free (Free (s, _)) T = Free (s, T); |
48 |
||
49212 | 49 |
val lists_bmoc = fold (fn xs => fn t => Term.list_comb (t, xs)) |
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49275 | 51 |
fun mk_predT T = T --> HOLogic.boolT; |
52 |
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49234 | 53 |
fun mk_id T = Const (@{const_name id}, T --> T); |
54 |
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49200 | 55 |
fun mk_tupled_fun x f xs = HOLogic.tupled_lambda x (Term.list_comb (f, xs)); |
56 |
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 | 58 |
mk_tupled_fun (HOLogic.mk_tuple (map HOLogic.mk_tuple xss)) f (flat xss); |
59 |
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49233 | 60 |
fun tick v f = Term.lambda v (HOLogic.mk_prod (v, f $ v)); |
61 |
||
62 |
fun tack z_name (c, v) f = |
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let val z = Free (z_name, mk_sumT (fastype_of v, fastype_of c)) in |
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64 |
Term.lambda z (mk_sum_case (Term.lambda v v, Term.lambda c (f $ c)) $ z) |
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65 |
end; |
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49124 | 67 |
fun cannot_merge_types () = error "Mutually recursive types must have the same type parameters"; |
49119 | 68 |
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fun merge_type_arg_constrained ctxt (T, c) (T', c') = |
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70 |
if T = T' then |
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71 |
(case (c, c') of |
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72 |
(_, NONE) => (T, c) |
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73 |
| (NONE, _) => (T, c') |
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74 |
| _ => |
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75 |
if c = c' then |
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76 |
(T, c) |
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77 |
else |
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78 |
error ("Inconsistent sort constraints for type variable " ^ |
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79 |
quote (Syntax.string_of_typ ctxt T))) |
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80 |
else |
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81 |
cannot_merge_types (); |
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82 |
||
83 |
fun merge_type_args_constrained ctxt (cAs, cAs') = |
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if length cAs = length cAs' then map2 (merge_type_arg_constrained ctxt) cAs cAs' |
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85 |
else cannot_merge_types (); |
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86 |
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49121 | 87 |
fun type_args_constrained_of (((cAs, _), _), _) = cAs; |
88 |
val type_args_of = map fst o type_args_constrained_of; |
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49129 | 89 |
fun type_binder_of (((_, b), _), _) = b; |
49181 | 90 |
fun mixfix_of ((_, mx), _) = mx; |
49121 | 91 |
fun ctr_specs_of (_, ctr_specs) = ctr_specs; |
49119 | 92 |
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49121 | 93 |
fun disc_of (((disc, _), _), _) = disc; |
94 |
fun ctr_of (((_, ctr), _), _) = ctr; |
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95 |
fun args_of ((_, args), _) = args; |
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49181 | 96 |
fun ctr_mixfix_of (_, mx) = mx; |
49119 | 97 |
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49278 | 98 |
fun prepare_datatype prepare_typ lfp (no_dests, specs) fake_lthy no_defs_lthy = |
49112 | 99 |
let |
49278 | 100 |
val _ = if not lfp andalso no_dests then error "Cannot use \"no_dests\" option for codatatypes" |
101 |
else (); |
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102 |
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49121 | 103 |
val constrained_As = |
104 |
map (map (apfst (prepare_typ fake_lthy)) o type_args_constrained_of) specs |
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49204 | 105 |
|> Library.foldr1 (merge_type_args_constrained no_defs_lthy); |
49121 | 106 |
val As = map fst constrained_As; |
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val As' = map dest_TFree As; |
49119 | 108 |
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49121 | 109 |
val _ = (case duplicates (op =) As of [] => () |
49204 | 110 |
| A :: _ => error ("Duplicate type parameter " ^ |
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quote (Syntax.string_of_typ no_defs_lthy A))); |
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49119 | 112 |
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113 |
(* TODO: use sort constraints on type args *) |
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114 |
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115 |
val N = length specs; |
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fun mk_fake_T b = |
49121 | 118 |
Type (fst (Term.dest_Type (Proof_Context.read_type_name fake_lthy true (Binding.name_of b))), |
119 |
As); |
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120 |
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49129 | 121 |
val bs = map type_binder_of specs; |
49204 | 122 |
val fakeTs = map mk_fake_T bs; |
49121 | 123 |
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49181 | 124 |
val mixfixes = map mixfix_of specs; |
49119 | 125 |
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126 |
val _ = (case duplicates Binding.eq_name bs of [] => () |
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| b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b))); |
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128 |
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49121 | 129 |
val ctr_specss = map ctr_specs_of specs; |
49119 | 130 |
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49129 | 131 |
val disc_binderss = map (map disc_of) ctr_specss; |
132 |
val ctr_binderss = map (map ctr_of) ctr_specss; |
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49121 | 133 |
val ctr_argsss = map (map args_of) ctr_specss; |
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val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss; |
49119 | 135 |
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49129 | 136 |
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; |
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val rhs_As' = fold (fold (fold Term.add_tfreesT)) fake_ctr_Tsss []; |
49167 | 140 |
val _ = (case subtract (op =) As' rhs_As' of |
49165 | 141 |
[] => () |
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| A' :: _ => error ("Extra type variables on rhs: " ^ |
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49204 | 143 |
quote (Syntax.string_of_typ no_defs_lthy (TFree A')))); |
49165 | 144 |
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49176 | 145 |
val ((Cs, Xs), _) = |
49204 | 146 |
no_defs_lthy |
49121 | 147 |
|> fold (fold (fn s => Variable.declare_typ (TFree (s, dummyS))) o type_args_of) specs |
148 |
|> mk_TFrees N |
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49176 | 149 |
||>> mk_TFrees N; |
49119 | 150 |
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49204 | 151 |
fun eq_fpT (T as Type (s, Us)) (Type (s', Us')) = |
49146 | 152 |
s = s' andalso (Us = Us' orelse error ("Illegal occurrence of recursive type " ^ |
153 |
quote (Syntax.string_of_typ fake_lthy T))) |
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49204 | 154 |
| eq_fpT _ _ = false; |
49146 | 155 |
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49204 | 156 |
fun freeze_fp (T as Type (s, Us)) = |
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(case find_index (eq_fpT T) fakeTs of ~1 => Type (s, map freeze_fp Us) | j => nth Xs j) |
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| freeze_fp T = T; |
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49121 | 159 |
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val ctr_TsssXs = map (map (map freeze_fp)) fake_ctr_Tsss; |
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val ctr_sum_prod_TsXs = map (mk_sumTN_balanced o map HOLogic.mk_tupleT) ctr_TsssXs; |
49119 | 162 |
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val eqs = map dest_TFree Xs ~~ ctr_sum_prod_TsXs; |
49121 | 164 |
|
49226 | 165 |
val (pre_bnfs, ((unfs0, flds0, fp_iters0, fp_recs0, unf_flds, fld_unfs, fld_injects, |
49207 | 166 |
fp_iter_thms, fp_rec_thms), lthy)) = |
49208 | 167 |
fp_bnf (if lfp then bnf_lfp else bnf_gfp) bs mixfixes As' eqs no_defs_lthy; |
49121 | 168 |
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49226 | 169 |
val add_nested_bnf_names = |
170 |
let |
|
171 |
fun add (Type (s, Ts)) ss = |
|
172 |
let val (needs, ss') = fold_map add Ts ss in |
|
173 |
if exists I needs then (true, insert (op =) s ss') else (false, ss') |
|
174 |
end |
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175 |
| add T ss = (member (op =) As T, ss); |
|
176 |
in snd oo add end; |
|
177 |
||
178 |
val nested_bnfs = |
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49236 | 179 |
map_filter (bnf_of lthy) (fold (fold (fold add_nested_bnf_names)) ctr_TsssXs []); |
49226 | 180 |
|
49167 | 181 |
val timer = time (Timer.startRealTimer ()); |
182 |
||
49176 | 183 |
fun mk_unf_or_fld get_T Ts t = |
184 |
let val Type (_, Ts0) = get_T (fastype_of t) in |
|
49124 | 185 |
Term.subst_atomic_types (Ts0 ~~ Ts) t |
49121 | 186 |
end; |
49119 | 187 |
|
49126 | 188 |
val mk_unf = mk_unf_or_fld domain_type; |
189 |
val mk_fld = mk_unf_or_fld range_type; |
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49121 | 190 |
|
49203 | 191 |
val unfs = map (mk_unf As) unfs0; |
192 |
val flds = map (mk_fld As) flds0; |
|
49124 | 193 |
|
49201 | 194 |
val fpTs = map (domain_type o fastype_of) unfs; |
49204 | 195 |
|
49201 | 196 |
val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctr_TsssXs; |
49203 | 197 |
val ns = map length ctr_Tsss; |
49212 | 198 |
val kss = map (fn n => 1 upto n) ns; |
49203 | 199 |
val mss = map (map length) ctr_Tsss; |
200 |
val Css = map2 replicate ns Cs; |
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201 |
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202 |
fun mk_iter_like Ts Us t = |
49121 | 203 |
let |
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204 |
val (binders, body) = strip_type (fastype_of t); |
49210 | 205 |
val (f_Us, prebody) = split_last binders; |
206 |
val Type (_, Ts0) = if lfp then prebody else body; |
|
207 |
val Us0 = distinct (op =) (map (if lfp then body_type else domain_type) f_Us); |
|
49176 | 208 |
in |
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|
209 |
Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t |
49176 | 210 |
end; |
211 |
||
49210 | 212 |
val fp_iters as fp_iter1 :: _ = map (mk_iter_like As Cs) fp_iters0; |
213 |
val fp_recs as fp_rec1 :: _ = map (mk_iter_like As Cs) fp_recs0; |
|
214 |
||
49212 | 215 |
val fp_iter_fun_Ts = fst (split_last (binder_types (fastype_of fp_iter1))); |
216 |
val fp_rec_fun_Ts = fst (split_last (binder_types (fastype_of fp_rec1))); |
|
49204 | 217 |
|
49256 | 218 |
val ((iter_only as (gss, _, _), rec_only as (hss, _, _)), |
49276 | 219 |
(zs, cs, cpss, coiter_only as ((pgss, crgsss), _), corec_only as ((phss, cshsss), _))) = |
49208 | 220 |
if lfp then |
221 |
let |
|
222 |
val y_Tsss = |
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223 |
map3 (fn n => fn ms => map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type) |
49212 | 224 |
ns mss fp_iter_fun_Ts; |
49208 | 225 |
val g_Tss = map2 (map2 (curry (op --->))) y_Tsss Css; |
226 |
||
227 |
val ((gss, ysss), _) = |
|
228 |
lthy |
|
229 |
|> mk_Freess "f" g_Tss |
|
230 |
||>> mk_Freesss "x" y_Tsss; |
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231 |
val yssss = map (map (map single)) ysss; |
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232 |
|
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233 |
fun dest_rec_prodT (T as Type (@{type_name prod}, Us as [_, U])) = |
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234 |
if member (op =) Cs U then Us else [T] |
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|
235 |
| dest_rec_prodT T = [T]; |
49204 | 236 |
|
49208 | 237 |
val z_Tssss = |
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238 |
map3 (fn n => fn ms => map2 (map dest_rec_prodT oo dest_tupleT) ms o |
49255
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|
239 |
dest_sumTN_balanced n o domain_type) ns mss fp_rec_fun_Ts; |
49208 | 240 |
val h_Tss = map2 (map2 (fold_rev (curry (op --->)))) z_Tssss Css; |
49204 | 241 |
|
49208 | 242 |
val hss = map2 (map2 retype_free) gss h_Tss; |
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|
243 |
val zssss_hd = map2 (map2 (map2 (fn y => fn T :: _ => retype_free y T))) ysss z_Tssss; |
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|
244 |
val (zssss_tl, _) = |
49208 | 245 |
lthy |
49274
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|
246 |
|> mk_Freessss "y" (map (map (map tl)) z_Tssss); |
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|
247 |
val zssss = map2 (map2 (map2 cons)) zssss_hd zssss_tl; |
49210 | 248 |
in |
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|
249 |
(((gss, g_Tss, yssss), (hss, h_Tss, zssss)), |
49276 | 250 |
([], [], [], (([], []), ([], [])), (([], []), ([], [])))) |
49210 | 251 |
end |
49208 | 252 |
else |
49210 | 253 |
let |
49221
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fixed bug with one-value types with phantom type arguments
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49220
diff
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|
254 |
(*avoid "'a itself" arguments in coiterators and corecursors*) |
6d8d5fe9f3a2
fixed bug with one-value types with phantom type arguments
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49220
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changeset
|
255 |
val mss' = map (fn [0] => [1] | ms => ms) mss; |
6d8d5fe9f3a2
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49220
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changeset
|
256 |
|
49275 | 257 |
val p_Tss = map2 (fn n => replicate (Int.max (0, n - 1)) o mk_predT) ns Cs; |
258 |
||
49276 | 259 |
fun zip_predss_getterss qss fss = maps (op @) (qss ~~ fss); |
49211 | 260 |
|
49276 | 261 |
fun zip_preds_predsss_gettersss [] [qss] [fss] = zip_predss_getterss qss fss |
262 |
| zip_preds_predsss_gettersss (p :: ps) (qss :: qsss) (fss :: fsss) = |
|
263 |
p :: zip_predss_getterss qss fss @ zip_preds_predsss_gettersss ps qsss fsss; |
|
49274
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|
264 |
|
ddd606ec45b9
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|
265 |
fun mk_types maybe_dest_sumT fun_Ts = |
49212 | 266 |
let |
267 |
val f_sum_prod_Ts = map range_type fun_Ts; |
|
49255
2ecc533d6697
use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents:
49254
diff
changeset
|
268 |
val f_prod_Tss = map2 dest_sumTN_balanced ns f_sum_prod_Ts; |
49275 | 269 |
val f_Tssss = |
270 |
map3 (fn C => map2 (map (map (curry (op -->) C) o maybe_dest_sumT) oo dest_tupleT)) |
|
271 |
Cs mss' f_prod_Tss; |
|
272 |
val q_Tssss = |
|
273 |
map (map (map (fn [_] => [] | [_, C] => [mk_predT (domain_type C)]))) f_Tssss; |
|
49276 | 274 |
val pf_Tss = map3 zip_preds_predsss_gettersss p_Tss q_Tssss f_Tssss; |
49275 | 275 |
in (q_Tssss, f_sum_prod_Ts, f_Tssss, pf_Tss) end; |
49176 | 276 |
|
49275 | 277 |
val (r_Tssss, g_sum_prod_Ts, g_Tssss, pg_Tss) = mk_types single fp_iter_fun_Ts; |
49211 | 278 |
|
49275 | 279 |
val ((((Free (z, _), cs), pss), gssss), _) = |
49210 | 280 |
lthy |
49233 | 281 |
|> yield_singleton (mk_Frees "z") dummyT |
282 |
||>> mk_Frees "a" Cs |
|
49211 | 283 |
||>> mk_Freess "p" p_Tss |
49275 | 284 |
||>> mk_Freessss "g" g_Tssss; |
285 |
val rssss = map (map (map (fn [] => []))) r_Tssss; |
|
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
286 |
|
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
287 |
fun dest_corec_sumT (T as Type (@{type_name sum}, Us as [_, U])) = |
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
288 |
if member (op =) Cs U then Us else [T] |
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
289 |
| dest_corec_sumT T = [T]; |
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
290 |
|
49275 | 291 |
val (s_Tssss, h_sum_prod_Ts, h_Tssss, ph_Tss) = mk_types dest_corec_sumT fp_rec_fun_Ts; |
49210 | 292 |
|
49275 | 293 |
val hssss_hd = map2 (map2 (map2 (fn [g] => fn T :: _ => retype_free g T))) gssss h_Tssss; |
294 |
val ((sssss, hssss_tl), _) = |
|
295 |
lthy |
|
296 |
|> mk_Freessss "q" s_Tssss |
|
297 |
||>> mk_Freessss "h" (map (map (map tl)) h_Tssss); |
|
298 |
val hssss = map2 (map2 (map2 cons)) hssss_hd hssss_tl; |
|
49211 | 299 |
|
49212 | 300 |
val cpss = map2 (fn c => map (fn p => p $ c)) cs pss; |
301 |
||
49276 | 302 |
fun mk_preds_getters_join [] [cf] = cf |
303 |
| mk_preds_getters_join [cq] [cf, cf'] = |
|
304 |
mk_If cq (mk_Inl (fastype_of cf') cf) (mk_Inr (fastype_of cf) cf'); |
|
305 |
||
49275 | 306 |
fun mk_terms qssss fssss = |
49212 | 307 |
let |
49276 | 308 |
val pfss = map3 zip_preds_predsss_gettersss pss qssss fssss; |
49275 | 309 |
val cqssss = map2 (fn c => map (map (map (fn f => f $ c)))) cs qssss; |
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
310 |
val cfssss = map2 (fn c => map (map (map (fn f => f $ c)))) cs fssss; |
49276 | 311 |
val cqfsss = map2 (map2 (map2 mk_preds_getters_join)) cqssss cfssss; |
312 |
in (pfss, cqfsss) end; |
|
49210 | 313 |
in |
49212 | 314 |
((([], [], []), ([], [], [])), |
49275 | 315 |
([z], cs, cpss, (mk_terms rssss gssss, (g_sum_prod_Ts, pg_Tss)), |
316 |
(mk_terms sssss hssss, (h_sum_prod_Ts, ph_Tss)))) |
|
49210 | 317 |
end; |
318 |
||
49212 | 319 |
fun pour_some_sugar_on_type (((((((((((((((((b, fpT), C), fld), unf), fp_iter), fp_rec), |
320 |
fld_unf), unf_fld), fld_inject), n), ks), ms), ctr_binders), ctr_mixfixes), ctr_Tss), |
|
321 |
disc_binders), sel_binderss) no_defs_lthy = |
|
49176 | 322 |
let |
49201 | 323 |
val unfT = domain_type (fastype_of fld); |
49210 | 324 |
val ctr_prod_Ts = map HOLogic.mk_tupleT ctr_Tss; |
49255
2ecc533d6697
use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents:
49254
diff
changeset
|
325 |
val ctr_sum_prod_T = mk_sumTN_balanced ctr_prod_Ts; |
49134
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset
|
326 |
val case_Ts = map (fn Ts => Ts ---> C) ctr_Tss; |
49119 | 327 |
|
49176 | 328 |
val ((((u, v), fs), xss), _) = |
49204 | 329 |
no_defs_lthy |
49201 | 330 |
|> yield_singleton (mk_Frees "u") unfT |
331 |
||>> yield_singleton (mk_Frees "v") fpT |
|
49176 | 332 |
||>> mk_Frees "f" case_Ts |
49124 | 333 |
||>> mk_Freess "x" ctr_Tss; |
49121 | 334 |
|
49129 | 335 |
val ctr_rhss = |
49256 | 336 |
map2 (fn k => fn xs => fold_rev Term.lambda xs (fld $ |
337 |
mk_InN_balanced ctr_sum_prod_T n (HOLogic.mk_tuple xs) k)) ks xss; |
|
49121 | 338 |
|
49130
3c26e17b2849
implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents:
49129
diff
changeset
|
339 |
val case_binder = Binding.suffix_name ("_" ^ caseN) b; |
49129 | 340 |
|
49134
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset
|
341 |
val case_rhs = |
49255
2ecc533d6697
use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents:
49254
diff
changeset
|
342 |
fold_rev Term.lambda (fs @ [v]) |
2ecc533d6697
use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents:
49254
diff
changeset
|
343 |
(mk_sum_caseN_balanced (map2 mk_uncurried_fun fs xss) $ (unf $ v)); |
49129 | 344 |
|
49201 | 345 |
val ((raw_case :: raw_ctrs, raw_case_def :: raw_ctr_defs), (lthy', lthy)) = no_defs_lthy |
49169 | 346 |
|> apfst split_list o fold_map3 (fn b => fn mx => fn rhs => |
347 |
Local_Theory.define ((b, mx), ((Thm.def_binding b, []), rhs)) #>> apsnd snd) |
|
49201 | 348 |
(case_binder :: ctr_binders) (NoSyn :: ctr_mixfixes) (case_rhs :: ctr_rhss) |
49121 | 349 |
||> `Local_Theory.restore; |
350 |
||
351 |
(*transforms defined frees into consts (and more)*) |
|
352 |
val phi = Proof_Context.export_morphism lthy lthy'; |
|
353 |
||
354 |
val ctr_defs = map (Morphism.thm phi) raw_ctr_defs; |
|
49130
3c26e17b2849
implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents:
49129
diff
changeset
|
355 |
val case_def = Morphism.thm phi raw_case_def; |
3c26e17b2849
implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents:
49129
diff
changeset
|
356 |
|
49203 | 357 |
val ctrs0 = map (Morphism.term phi) raw_ctrs; |
358 |
val casex0 = Morphism.term phi raw_case; |
|
359 |
||
360 |
val ctrs = map (mk_ctr As) ctrs0; |
|
49121 | 361 |
|
49135 | 362 |
fun exhaust_tac {context = ctxt, ...} = |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
363 |
let |
49135 | 364 |
val fld_iff_unf_thm = |
365 |
let |
|
366 |
val goal = |
|
367 |
fold_rev Logic.all [u, v] |
|
368 |
(mk_Trueprop_eq (HOLogic.mk_eq (v, fld $ u), HOLogic.mk_eq (unf $ v, u))); |
|
369 |
in |
|
370 |
Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} => |
|
49201 | 371 |
mk_fld_iff_unf_tac ctxt (map (SOME o certifyT lthy) [unfT, fpT]) |
49176 | 372 |
(certify lthy fld) (certify lthy unf) fld_unf unf_fld) |
49135 | 373 |
|> Thm.close_derivation |
374 |
|> Morphism.thm phi |
|
375 |
end; |
|
376 |
||
377 |
val sumEN_thm' = |
|
378 |
Local_Defs.unfold lthy @{thms all_unit_eq} |
|
49255
2ecc533d6697
use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents:
49254
diff
changeset
|
379 |
(Drule.instantiate' (map (SOME o certifyT lthy) ctr_prod_Ts) [] |
2ecc533d6697
use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents:
49254
diff
changeset
|
380 |
(mk_sumEN_balanced n)) |
49135 | 381 |
|> Morphism.thm phi; |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
382 |
in |
49161
a8e74375d971
fixed (n + 1)st bug in "mk_exhaust_tac" -- arose with uncurried constructors
blanchet
parents:
49157
diff
changeset
|
383 |
mk_exhaust_tac ctxt n ctr_defs fld_iff_unf_thm sumEN_thm' |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
384 |
end; |
49121 | 385 |
|
49126 | 386 |
val inject_tacss = |
49205 | 387 |
map2 (fn 0 => K [] | _ => fn ctr_def => [fn {context = ctxt, ...} => |
388 |
mk_inject_tac ctxt ctr_def fld_inject]) ms ctr_defs; |
|
49126 | 389 |
|
49127 | 390 |
val half_distinct_tacss = |
391 |
map (map (fn (def, def') => fn {context = ctxt, ...} => |
|
392 |
mk_half_distinct_tac ctxt fld_inject [def, def'])) (mk_half_pairss ctr_defs); |
|
393 |
||
49130
3c26e17b2849
implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents:
49129
diff
changeset
|
394 |
val case_tacs = |
3c26e17b2849
implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents:
49129
diff
changeset
|
395 |
map3 (fn k => fn m => fn ctr_def => fn {context = ctxt, ...} => |
3c26e17b2849
implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents:
49129
diff
changeset
|
396 |
mk_case_tac ctxt n k m case_def ctr_def unf_fld) ks ms ctr_defs; |
49121 | 397 |
|
398 |
val tacss = [exhaust_tac] :: inject_tacss @ half_distinct_tacss @ [case_tacs]; |
|
49134
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset
|
399 |
|
49267
c96a07255e10
correctly generate sel_coiter and sel_corec theorems
blanchet
parents:
49266
diff
changeset
|
400 |
fun some_lfp_sugar ((selss0, discIs, sel_thmss), no_defs_lthy) = |
49134
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset
|
401 |
let |
49208 | 402 |
val fpT_to_C = fpT --> C; |
49199 | 403 |
|
49215 | 404 |
fun generate_iter_like (suf, fp_iter_like, (fss, f_Tss, xssss)) = |
405 |
let |
|
406 |
val res_T = fold_rev (curry (op --->)) f_Tss fpT_to_C; |
|
407 |
||
408 |
val binder = Binding.suffix_name ("_" ^ suf) b; |
|
49199 | 409 |
|
49215 | 410 |
val spec = |
411 |
mk_Trueprop_eq (lists_bmoc fss (Free (Binding.name_of binder, res_T)), |
|
412 |
Term.list_comb (fp_iter_like, |
|
49255
2ecc533d6697
use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents:
49254
diff
changeset
|
413 |
map2 (mk_sum_caseN_balanced oo map2 mk_uncurried2_fun) fss xssss)); |
49215 | 414 |
in (binder, spec) end; |
49199 | 415 |
|
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
416 |
val iter_like_bundles = |
49215 | 417 |
[(iterN, fp_iter, iter_only), |
418 |
(recN, fp_rec, rec_only)]; |
|
419 |
||
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
420 |
val (binders, specs) = map generate_iter_like iter_like_bundles |> split_list; |
49215 | 421 |
|
422 |
val ((csts, defs), (lthy', lthy)) = no_defs_lthy |
|
49201 | 423 |
|> apfst split_list o fold_map2 (fn b => fn spec => |
49199 | 424 |
Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec)) |
49215 | 425 |
#>> apsnd snd) binders specs |
49199 | 426 |
||> `Local_Theory.restore; |
49201 | 427 |
|
428 |
(*transforms defined frees into consts (and more)*) |
|
429 |
val phi = Proof_Context.export_morphism lthy lthy'; |
|
430 |
||
49215 | 431 |
val [iter_def, rec_def] = map (Morphism.thm phi) defs; |
49201 | 432 |
|
49215 | 433 |
val [iter, recx] = map (mk_iter_like As Cs o Morphism.term phi) csts; |
49134
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset
|
434 |
in |
49267
c96a07255e10
correctly generate sel_coiter and sel_corec theorems
blanchet
parents:
49266
diff
changeset
|
435 |
((ctrs, selss0, iter, recx, v, xss, ctr_defs, discIs, sel_thmss, iter_def, rec_def), |
49266 | 436 |
lthy) |
49134
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset
|
437 |
end; |
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset
|
438 |
|
49267
c96a07255e10
correctly generate sel_coiter and sel_corec theorems
blanchet
parents:
49266
diff
changeset
|
439 |
fun some_gfp_sugar ((selss0, discIs, sel_thmss), no_defs_lthy) = |
49210 | 440 |
let |
441 |
val B_to_fpT = C --> fpT; |
|
49211 | 442 |
|
49276 | 443 |
fun mk_preds_getterss_join c n cps sum_prod_T cqfss = |
444 |
Term.lambda c (mk_IfN sum_prod_T cps |
|
445 |
(map2 (mk_InN_balanced sum_prod_T n) (map HOLogic.mk_tuple cqfss) (1 upto n))); |
|
49275 | 446 |
|
49276 | 447 |
fun generate_coiter_like (suf, fp_iter_like, ((pfss, cqfsss), (f_sum_prod_Ts, |
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
448 |
pf_Tss))) = |
49211 | 449 |
let |
450 |
val res_T = fold_rev (curry (op --->)) pf_Tss B_to_fpT; |
|
49210 | 451 |
|
49211 | 452 |
val binder = Binding.suffix_name ("_" ^ suf) b; |
49210 | 453 |
|
49211 | 454 |
val spec = |
49212 | 455 |
mk_Trueprop_eq (lists_bmoc pfss (Free (Binding.name_of binder, res_T)), |
49211 | 456 |
Term.list_comb (fp_iter_like, |
49276 | 457 |
map5 mk_preds_getterss_join cs ns cpss f_sum_prod_Ts cqfsss)); |
49211 | 458 |
in (binder, spec) end; |
49210 | 459 |
|
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
460 |
val coiter_like_bundles = |
49215 | 461 |
[(coiterN, fp_iter, coiter_only), |
462 |
(corecN, fp_rec, corec_only)]; |
|
49212 | 463 |
|
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
464 |
val (binders, specs) = map generate_coiter_like coiter_like_bundles |> split_list; |
49211 | 465 |
|
466 |
val ((csts, defs), (lthy', lthy)) = no_defs_lthy |
|
49210 | 467 |
|> apfst split_list o fold_map2 (fn b => fn spec => |
468 |
Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec)) |
|
49211 | 469 |
#>> apsnd snd) binders specs |
49210 | 470 |
||> `Local_Theory.restore; |
471 |
||
472 |
(*transforms defined frees into consts (and more)*) |
|
473 |
val phi = Proof_Context.export_morphism lthy lthy'; |
|
474 |
||
49211 | 475 |
val [coiter_def, corec_def] = map (Morphism.thm phi) defs; |
49210 | 476 |
|
49211 | 477 |
val [coiter, corec] = map (mk_iter_like As Cs o Morphism.term phi) csts; |
49210 | 478 |
in |
49267
c96a07255e10
correctly generate sel_coiter and sel_corec theorems
blanchet
parents:
49266
diff
changeset
|
479 |
((ctrs, selss0, coiter, corec, v, xss, ctr_defs, discIs, sel_thmss, coiter_def, |
49266 | 480 |
corec_def), lthy) |
49210 | 481 |
end; |
49119 | 482 |
in |
49278 | 483 |
wrap_datatype tacss (((no_dests, ctrs0), casex0), (disc_binders, sel_binderss)) lthy' |
49210 | 484 |
|> (if lfp then some_lfp_sugar else some_gfp_sugar) |
49119 | 485 |
end; |
49167 | 486 |
|
49226 | 487 |
val pre_map_defs = map map_def_of_bnf pre_bnfs; |
49229
d5717b5e2217
use map_id, not map_id', to allow better composition
blanchet
parents:
49226
diff
changeset
|
488 |
val map_ids = map map_id_of_bnf nested_bnfs; |
49226 | 489 |
|
49214
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
490 |
fun mk_map Ts Us t = |
49217 | 491 |
let val (Type (_, Ts0), Type (_, Us0)) = strip_map_type (fastype_of t) |>> List.last in |
49214
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
492 |
Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t |
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
493 |
end; |
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
494 |
|
49234 | 495 |
fun build_map build_arg (Type (s, Ts)) (Type (_, Us)) = |
496 |
let |
|
49236 | 497 |
val map0 = map_of_bnf (the (bnf_of lthy s)); |
49234 | 498 |
val mapx = mk_map Ts Us map0; |
499 |
val TUs = map dest_funT (fst (split_last (fst (strip_map_type (fastype_of mapx))))); |
|
500 |
val args = map build_arg TUs; |
|
501 |
in Term.list_comb (mapx, args) end; |
|
502 |
||
49266 | 503 |
fun pour_more_sugar_on_lfps ((ctrss, _, iters, recs, vs, xsss, ctr_defss, _, _, iter_defs, |
504 |
rec_defs), lthy) = |
|
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
505 |
let |
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
506 |
val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss; |
49212 | 507 |
val giters = map (lists_bmoc gss) iters; |
508 |
val hrecs = map (lists_bmoc hss) recs; |
|
49201 | 509 |
|
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
510 |
val (iter_thmss, rec_thmss) = |
49207 | 511 |
let |
49212 | 512 |
fun mk_goal_iter_like fss fiter_like xctr f xs fxs = |
49207 | 513 |
fold_rev (fold_rev Logic.all) (xs :: fss) |
49212 | 514 |
(mk_Trueprop_eq (fiter_like $ xctr, Term.list_comb (f, fxs))); |
49204 | 515 |
|
49234 | 516 |
fun build_call fiter_likes maybe_tick (T, U) = |
517 |
if T = U then |
|
518 |
mk_id T |
|
519 |
else |
|
520 |
(case find_index (curry (op =) T) fpTs of |
|
521 |
~1 => build_map (build_call fiter_likes maybe_tick) T U |
|
522 |
| j => maybe_tick (nth vs j) (nth fiter_likes j)); |
|
49233 | 523 |
|
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
524 |
fun mk_U maybe_mk_prodT = |
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
525 |
typ_subst (map2 (fn fpT => fn C => (fpT, maybe_mk_prodT fpT C)) fpTs Cs); |
49214
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
526 |
|
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
527 |
fun repair_calls fiter_likes maybe_cons maybe_tick maybe_mk_prodT (x as Free (_, T)) = |
49214
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
528 |
if member (op =) fpTs T then |
49233 | 529 |
maybe_cons x [build_call fiter_likes (K I) (T, mk_U (K I) T) $ x] |
49214
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
530 |
else if exists_subtype (member (op =) fpTs) T then |
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
531 |
[build_call fiter_likes maybe_tick (T, mk_U maybe_mk_prodT T) $ x] |
49214
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
532 |
else |
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
533 |
[x]; |
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
534 |
|
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
535 |
val gxsss = map (map (maps (repair_calls giters (K I) (K I) (K I)))) xsss; |
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
536 |
val hxsss = |
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset
|
537 |
map (map (maps (repair_calls hrecs cons tick (curry HOLogic.mk_prodT)))) xsss; |
49204 | 538 |
|
49212 | 539 |
val goal_iterss = map5 (map4 o mk_goal_iter_like gss) giters xctrss gss xsss gxsss; |
540 |
val goal_recss = map5 (map4 o mk_goal_iter_like hss) hrecs xctrss hss xsss hxsss; |
|
49204 | 541 |
|
49203 | 542 |
val iter_tacss = |
49229
d5717b5e2217
use map_id, not map_id', to allow better composition
blanchet
parents:
49226
diff
changeset
|
543 |
map2 (map o mk_iter_like_tac pre_map_defs map_ids iter_defs) fp_iter_thms ctr_defss; |
49203 | 544 |
val rec_tacss = |
49229
d5717b5e2217
use map_id, not map_id', to allow better composition
blanchet
parents:
49226
diff
changeset
|
545 |
map2 (map o mk_iter_like_tac pre_map_defs map_ids rec_defs) fp_rec_thms ctr_defss; |
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
546 |
in |
49276 | 547 |
(map2 (map2 (fn goal => fn tac => Skip_Proof.prove lthy [] [] goal (tac o #context))) |
49205 | 548 |
goal_iterss iter_tacss, |
49276 | 549 |
map2 (map2 (fn goal => fn tac => Skip_Proof.prove lthy [] [] goal (tac o #context))) |
49205 | 550 |
goal_recss rec_tacss) |
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
551 |
end; |
49201 | 552 |
|
49226 | 553 |
val notes = |
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
554 |
[(itersN, iter_thmss), |
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
555 |
(recsN, rec_thmss)] |
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
556 |
|> maps (fn (thmN, thmss) => |
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
557 |
map2 (fn b => fn thms => |
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
558 |
((Binding.qualify true (Binding.name_of b) (Binding.name thmN), []), [(thms, [])])) |
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
559 |
bs thmss); |
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
560 |
in |
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
561 |
lthy |> Local_Theory.notes notes |> snd |
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
562 |
end; |
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset
|
563 |
|
49266 | 564 |
fun pour_more_sugar_on_gfps ((ctrss, selsss, coiters, corecs, vs, _, ctr_defss, discIss, |
565 |
sel_thmsss, coiter_defs, corec_defs), lthy) = |
|
49212 | 566 |
let |
49233 | 567 |
val z = the_single zs; |
568 |
||
49212 | 569 |
val gcoiters = map (lists_bmoc pgss) coiters; |
570 |
val hcorecs = map (lists_bmoc phss) corecs; |
|
571 |
||
572 |
val (coiter_thmss, corec_thmss) = |
|
573 |
let |
|
49232
9ea11f0c53e4
fixed and enabled generation of "coiters" theorems, including the recursive case
blanchet
parents:
49230
diff
changeset
|
574 |
fun mk_goal_cond pos = HOLogic.mk_Trueprop o (not pos ? HOLogic.mk_not); |
49212 | 575 |
|
49276 | 576 |
fun mk_goal_coiter_like pfss c cps fcoiter_like n k ctr m cfs' = |
49212 | 577 |
fold_rev (fold_rev Logic.all) ([c] :: pfss) |
49232
9ea11f0c53e4
fixed and enabled generation of "coiters" theorems, including the recursive case
blanchet
parents:
49230
diff
changeset
|
578 |
(Logic.list_implies (seq_conds mk_goal_cond n k cps, |
49276 | 579 |
mk_Trueprop_eq (fcoiter_like $ c, Term.list_comb (ctr, take m cfs')))); |
49212 | 580 |
|
49234 | 581 |
fun build_call fiter_likes maybe_tack (T, U) = |
582 |
if T = U then |
|
583 |
mk_id T |
|
584 |
else |
|
585 |
(case find_index (curry (op =) U) fpTs of |
|
586 |
~1 => build_map (build_call fiter_likes maybe_tack) T U |
|
587 |
| j => maybe_tack (nth cs j, nth vs j) (nth fiter_likes j)); |
|
49233 | 588 |
|
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
589 |
fun mk_U maybe_mk_sumT = |
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset
|
590 |
typ_subst (map2 (fn C => fn fpT => (maybe_mk_sumT fpT C, fpT)) Cs fpTs); |
49212 | 591 |
|
49276 | 592 |
fun repair_calls fiter_likes maybe_mk_sumT maybe_tack cqf = |
593 |
let val T = fastype_of cqf in |
|
594 |
if exists_subtype (member (op =) Cs) T then |
|
595 |
build_call fiter_likes maybe_tack (T, mk_U maybe_mk_sumT T) $ cqf |
|
596 |
else |
|
597 |
cqf |
|
598 |
end; |
|
49232
9ea11f0c53e4
fixed and enabled generation of "coiters" theorems, including the recursive case
blanchet
parents:
49230
diff
changeset
|
599 |
|
49276 | 600 |
val crgsss' = map (map (map (repair_calls gcoiters (K I) (K I)))) crgsss; |
601 |
val cshsss' = map (map (map (repair_calls hcorecs (curry mk_sumT) (tack z)))) cshsss; |
|
49212 | 602 |
|
603 |
val goal_coiterss = |
|
49276 | 604 |
map8 (map4 oooo mk_goal_coiter_like pgss) cs cpss gcoiters ns kss ctrss mss crgsss'; |
49233 | 605 |
val goal_corecss = |
49276 | 606 |
map8 (map4 oooo mk_goal_coiter_like phss) cs cpss hcorecs ns kss ctrss mss cshsss'; |
49213 | 607 |
|
608 |
val coiter_tacss = |
|
49229
d5717b5e2217
use map_id, not map_id', to allow better composition
blanchet
parents:
49226
diff
changeset
|
609 |
map3 (map oo mk_coiter_like_tac coiter_defs map_ids) fp_iter_thms pre_map_defs |
49226 | 610 |
ctr_defss; |
49233 | 611 |
val corec_tacss = |
612 |
map3 (map oo mk_coiter_like_tac corec_defs map_ids) fp_rec_thms pre_map_defs |
|
613 |
ctr_defss; |
|
49212 | 614 |
in |
49276 | 615 |
(map2 (map2 (fn goal => fn tac => |
616 |
Skip_Proof.prove lthy [] [] goal (tac o #context) |> Thm.close_derivation)) |
|
49213 | 617 |
goal_coiterss coiter_tacss, |
49276 | 618 |
map2 (map2 (fn goal => fn tac => |
619 |
Skip_Proof.prove lthy [] [] goal (tac o #context) |
|
620 |
|> Local_Defs.unfold lthy @{thms sum_case_if} |> Thm.close_derivation)) |
|
49233 | 621 |
goal_corecss corec_tacss) |
49212 | 622 |
end; |
623 |
||
49266 | 624 |
fun mk_disc_coiter_like_thms [_] = K [] |
625 |
| mk_disc_coiter_like_thms thms = map2 (curry (op RS)) thms; |
|
626 |
||
627 |
val disc_coiter_thmss = map2 mk_disc_coiter_like_thms coiter_thmss discIss; |
|
628 |
val disc_corec_thmss = map2 mk_disc_coiter_like_thms corec_thmss discIss; |
|
629 |
||
49267
c96a07255e10
correctly generate sel_coiter and sel_corec theorems
blanchet
parents:
49266
diff
changeset
|
630 |
fun mk_sel_coiter_like_thm coiter_like_thm sel0 sel_thm = |
49266 | 631 |
let |
49267
c96a07255e10
correctly generate sel_coiter and sel_corec theorems
blanchet
parents:
49266
diff
changeset
|
632 |
val (domT, ranT) = dest_funT (fastype_of sel0); |
49266 | 633 |
val arg_cong' = |
634 |
Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT]) |
|
49267
c96a07255e10
correctly generate sel_coiter and sel_corec theorems
blanchet
parents:
49266
diff
changeset
|
635 |
[NONE, NONE, SOME (certify lthy sel0)] arg_cong |
c96a07255e10
correctly generate sel_coiter and sel_corec theorems
blanchet
parents:
49266
diff
changeset
|
636 |
|> Thm.varifyT_global; |
49266 | 637 |
val sel_thm' = sel_thm RSN (2, trans); |
638 |
in |
|
49267
c96a07255e10
correctly generate sel_coiter and sel_corec theorems
blanchet
parents:
49266
diff
changeset
|
639 |
coiter_like_thm RS arg_cong' RS sel_thm' |
49266 | 640 |
end; |
641 |
||
642 |
val sel_coiter_thmsss = |
|
643 |
map3 (map3 (map2 o mk_sel_coiter_like_thm)) coiter_thmss selsss sel_thmsss; |
|
644 |
val sel_corec_thmsss = |
|
49267
c96a07255e10
correctly generate sel_coiter and sel_corec theorems
blanchet
parents:
49266
diff
changeset
|
645 |
map3 (map3 (map2 o mk_sel_coiter_like_thm)) corec_thmss selsss sel_thmsss; |
49266 | 646 |
|
49212 | 647 |
val notes = |
49233 | 648 |
[(coitersN, coiter_thmss), |
49266 | 649 |
(disc_coitersN, disc_coiter_thmss), |
650 |
(sel_coitersN, map flat sel_coiter_thmsss), |
|
651 |
(corecsN, corec_thmss), |
|
652 |
(disc_corecsN, disc_corec_thmss), |
|
653 |
(sel_corecsN, map flat sel_corec_thmsss)] |
|
49212 | 654 |
|> maps (fn (thmN, thmss) => |
49266 | 655 |
map_filter (fn (_, []) => NONE | (b, thms) => |
656 |
SOME ((Binding.qualify true (Binding.name_of b) (Binding.name thmN), []), |
|
657 |
[(thms, [])])) (bs ~~ thmss)); |
|
49212 | 658 |
in |
49230 | 659 |
lthy |> Local_Theory.notes notes |> snd |
49212 | 660 |
end; |
661 |
||
49204 | 662 |
val lthy' = lthy |
49210 | 663 |
|> fold_map pour_some_sugar_on_type (bs ~~ fpTs ~~ Cs ~~ flds ~~ unfs ~~ fp_iters ~~ |
49212 | 664 |
fp_recs ~~ fld_unfs ~~ unf_flds ~~ fld_injects ~~ ns ~~ kss ~~ mss ~~ ctr_binderss ~~ |
665 |
ctr_mixfixess ~~ ctr_Tsss ~~ disc_binderss ~~ sel_bindersss) |
|
49266 | 666 |
|>> split_list11 |
49212 | 667 |
|> (if lfp then pour_more_sugar_on_lfps else pour_more_sugar_on_gfps); |
49167 | 668 |
|
669 |
val timer = time (timer ("Constructors, discriminators, selectors, etc., for the new " ^ |
|
49208 | 670 |
(if lfp then "" else "co") ^ "datatype")); |
49112 | 671 |
in |
49204 | 672 |
(timer; lthy') |
49112 | 673 |
end; |
674 |
||
49278 | 675 |
fun datatype_cmd lfp (bundle as (_, specs)) lthy = |
49121 | 676 |
let |
49209 | 677 |
(* TODO: cleaner handling of fake contexts, without "background_theory" *) |
49184
83fdea0c4779
gracefully handle shadowing case (fourth step of sugar localization)
blanchet
parents:
49183
diff
changeset
|
678 |
(*the "perhaps o try" below helps gracefully handles the case where the new type is defined in a |
83fdea0c4779
gracefully handle shadowing case (fourth step of sugar localization)
blanchet
parents:
49183
diff
changeset
|
679 |
locale and shadows an existing global type*) |
49179
f9d48d479c84
don't throw away the context when hacking the theory (first step to localize the sugar code)
blanchet
parents:
49177
diff
changeset
|
680 |
val fake_thy = Theory.copy |
49184
83fdea0c4779
gracefully handle shadowing case (fourth step of sugar localization)
blanchet
parents:
49183
diff
changeset
|
681 |
#> fold (fn spec => perhaps (try (Sign.add_type lthy |
83fdea0c4779
gracefully handle shadowing case (fourth step of sugar localization)
blanchet
parents:
49183
diff
changeset
|
682 |
(type_binder_of spec, length (type_args_constrained_of spec), mixfix_of spec)))) specs; |
49179
f9d48d479c84
don't throw away the context when hacking the theory (first step to localize the sugar code)
blanchet
parents:
49177
diff
changeset
|
683 |
val fake_lthy = Proof_Context.background_theory fake_thy lthy; |
49121 | 684 |
in |
49278 | 685 |
prepare_datatype Syntax.read_typ lfp bundle fake_lthy lthy |
49121 | 686 |
end; |
49119 | 687 |
|
49277 | 688 |
val parse_opt_binding_colon = Scan.optional (Parse.binding --| @{keyword ":"}) no_binder |
49119 | 689 |
|
49112 | 690 |
val parse_ctr_arg = |
49277 | 691 |
@{keyword "("} |-- parse_opt_binding_colon -- Parse.typ --| @{keyword ")"} || |
49129 | 692 |
(Parse.typ >> pair no_binder); |
49112 | 693 |
|
694 |
val parse_single_spec = |
|
695 |
Parse.type_args_constrained -- Parse.binding -- Parse.opt_mixfix -- |
|
49119 | 696 |
(@{keyword "="} |-- Parse.enum1 "|" (parse_opt_binding_colon -- Parse.binding -- |
697 |
Scan.repeat parse_ctr_arg -- Parse.opt_mixfix)); |
|
49112 | 698 |
|
49278 | 699 |
val parse_datatype = parse_wrap_options -- Parse.and_list1 parse_single_spec; |
700 |
||
49112 | 701 |
val _ = |
702 |
Outer_Syntax.local_theory @{command_spec "data"} "define BNF-based inductive datatypes" |
|
49278 | 703 |
(parse_datatype >> datatype_cmd true); |
49112 | 704 |
|
705 |
val _ = |
|
706 |
Outer_Syntax.local_theory @{command_spec "codata"} "define BNF-based coinductive datatypes" |
|
49278 | 707 |
(parse_datatype >> datatype_cmd false); |
49112 | 708 |
|
709 |
end; |