author | traytel |
Thu, 04 Oct 2012 17:16:55 +0200 | |
changeset 49713 | 3d07ddf70f8b |
parent 49669 | 620fa6272c48 |
child 49714 | 2c7c32f34220 |
permissions | -rw-r--r-- |
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(* Title: HOL/BNF/Tools/bnf_comp.ML |
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Author: Dmitriy Traytel, TU Muenchen |
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Author: Jasmin Blanchette, TU Muenchen |
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Copyright 2012 |
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Composition of bounded natural functors. |
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7 |
*) |
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signature BNF_COMP = |
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sig |
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val ID_bnf: BNF_Def.BNF |
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val DEADID_bnf: BNF_Def.BNF |
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type unfold_set |
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val empty_unfolds: unfold_set |
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val bnf_of_typ: BNF_Def.const_policy -> (binding -> binding) -> |
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((string * sort) list list -> (string * sort) list) -> typ -> unfold_set * Proof.context -> |
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(BNF_Def.BNF * (typ list * typ list)) * (unfold_set * Proof.context) |
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49014 | 20 |
val default_comp_sort: (string * sort) list list -> (string * sort) list |
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21 |
val normalize_bnfs: (int -> binding -> binding) -> ''a list list -> ''a list -> |
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(''a list list -> ''a list) -> BNF_Def.BNF list -> unfold_set -> Proof.context -> |
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(int list list * ''a list) * (BNF_Def.BNF list * (unfold_set * Proof.context)) |
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val seal_bnf: unfold_set -> binding -> typ list -> BNF_Def.BNF -> Proof.context -> |
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(BNF_Def.BNF * typ list) * local_theory |
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26 |
end; |
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|
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structure BNF_Comp : BNF_COMP = |
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struct |
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open BNF_Def |
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open BNF_Util |
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open BNF_Tactics |
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open BNF_Comp_Tactics |
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val ID_bnf = the (bnf_of @{context} "Basic_BNFs.ID"); |
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val DEADID_bnf = the (bnf_of @{context} "Basic_BNFs.DEADID"); |
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|
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(* TODO: Replace by "BNF_Defs.defs list" *) |
49502 | 40 |
type unfold_set = { |
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map_unfolds: thm list, |
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42 |
set_unfoldss: thm list list, |
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rel_unfolds: thm list, |
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srel_unfolds: thm list |
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45 |
}; |
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49507 | 47 |
val empty_unfolds = {map_unfolds = [], set_unfoldss = [], rel_unfolds = [], srel_unfolds = []}; |
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fun add_to_thms thms new = thms |> not (Thm.is_reflexive new) ? insert Thm.eq_thm new; |
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fun adds_to_thms thms news = insert (eq_set Thm.eq_thm) (no_reflexive news) thms; |
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||
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fun add_to_unfolds map sets rel srel |
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{map_unfolds, set_unfoldss, rel_unfolds, srel_unfolds} = |
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49503 | 54 |
{map_unfolds = add_to_thms map_unfolds map, |
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set_unfoldss = adds_to_thms set_unfoldss sets, |
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rel_unfolds = add_to_thms rel_unfolds rel, |
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srel_unfolds = add_to_thms srel_unfolds srel}; |
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fun add_bnf_to_unfolds bnf = |
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add_to_unfolds (map_def_of_bnf bnf) (set_defs_of_bnf bnf) (rel_def_of_bnf bnf) |
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(srel_def_of_bnf bnf); |
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val bdTN = "bdT"; |
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64 |
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49425 | 65 |
fun mk_killN n = "_kill" ^ string_of_int n; |
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fun mk_liftN n = "_lift" ^ string_of_int n; |
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fun mk_permuteN src dest = |
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"_permute_" ^ implode (map string_of_int src) ^ "_" ^ implode (map string_of_int dest); |
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|
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(*copied from Envir.expand_term_free*) |
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fun expand_term_const defs = |
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let |
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val eqs = map ((fn ((x, U), u) => (x, (U, u))) o apfst dest_Const) defs; |
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val get = fn Const (x, _) => AList.lookup (op =) eqs x | _ => NONE; |
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in Envir.expand_term get end; |
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fun clean_compose_bnf const_policy qualify b outer inners (unfold_set, lthy) = |
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let |
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val olive = live_of_bnf outer; |
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val onwits = nwits_of_bnf outer; |
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val odead = dead_of_bnf outer; |
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val inner = hd inners; |
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val ilive = live_of_bnf inner; |
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val ideads = map dead_of_bnf inners; |
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val inwitss = map nwits_of_bnf inners; |
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|
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(* TODO: check olive = length inners > 0, |
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forall inner from inners. ilive = live, |
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forall inner from inners. idead = dead *) |
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|
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val (oDs, lthy1) = apfst (map TFree) |
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(Variable.invent_types (replicate odead HOLogic.typeS) lthy); |
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val (Dss, lthy2) = apfst (map (map TFree)) |
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(fold_map Variable.invent_types (map (fn n => replicate n HOLogic.typeS) ideads) lthy1); |
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val (Ass, lthy3) = apfst (replicate ilive o map TFree) |
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(Variable.invent_types (replicate ilive HOLogic.typeS) lthy2); |
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val As = if ilive > 0 then hd Ass else []; |
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98 |
val Ass_repl = replicate olive As; |
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val (Bs, _(*lthy4*)) = apfst (map TFree) |
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(Variable.invent_types (replicate ilive HOLogic.typeS) lthy3); |
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val Bss_repl = replicate olive Bs; |
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102 |
|
49463 | 103 |
val ((((fs', Qs'), Asets), xs), _(*names_lthy*)) = lthy |
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|> apfst snd o mk_Frees' "f" (map2 (curry (op -->)) As Bs) |
49463 | 105 |
||>> apfst snd o mk_Frees' "Q" (map2 mk_pred2T As Bs) |
49456 | 106 |
||>> mk_Frees "A" (map HOLogic.mk_setT As) |
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||>> mk_Frees "x" As; |
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108 |
|
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109 |
val CAs = map3 mk_T_of_bnf Dss Ass_repl inners; |
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val CCA = mk_T_of_bnf oDs CAs outer; |
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111 |
val CBs = map3 mk_T_of_bnf Dss Bss_repl inners; |
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112 |
val outer_sets = mk_sets_of_bnf (replicate olive oDs) (replicate olive CAs) outer; |
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val inner_setss = map3 mk_sets_of_bnf (map (replicate ilive) Dss) (replicate olive Ass) inners; |
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114 |
val inner_bds = map3 mk_bd_of_bnf Dss Ass_repl inners; |
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val outer_bd = mk_bd_of_bnf oDs CAs outer; |
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117 |
(*%f1 ... fn. outer.map (inner_1.map f1 ... fn) ... (inner_m.map f1 ... fn)*) |
49303 | 118 |
val mapx = fold_rev Term.abs fs' |
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119 |
(Term.list_comb (mk_map_of_bnf oDs CAs CBs outer, |
49463 | 120 |
map2 (fn Ds => (fn f => Term.list_comb (f, map Bound (ilive - 1 downto 0))) o |
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121 |
mk_map_of_bnf Ds As Bs) Dss inners)); |
49507 | 122 |
(*%Q1 ... Qn. outer.rel (inner_1.rel Q1 ... Qn) ... (inner_m.rel Q1 ... Qn)*) |
123 |
val rel = fold_rev Term.abs Qs' |
|
124 |
(Term.list_comb (mk_rel_of_bnf oDs CAs CBs outer, |
|
49463 | 125 |
map2 (fn Ds => (fn f => Term.list_comb (f, map Bound (ilive - 1 downto 0))) o |
49507 | 126 |
mk_rel_of_bnf Ds As Bs) Dss inners)); |
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127 |
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128 |
(*Union o collect {outer.set_1 ... outer.set_m} o outer.map inner_1.set_i ... inner_m.set_i*) |
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129 |
(*Union o collect {image inner_1.set_i o outer.set_1 ... image inner_m.set_i o outer.set_m}*) |
49303 | 130 |
fun mk_set i = |
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|
131 |
let |
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|
132 |
val (setTs, T) = `(replicate olive o HOLogic.mk_setT) (nth As i); |
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|
133 |
val outer_set = mk_collect |
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|
134 |
(mk_sets_of_bnf (replicate olive oDs) (replicate olive setTs) outer) |
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parents:
diff
changeset
|
135 |
(mk_T_of_bnf oDs setTs outer --> HOLogic.mk_setT T); |
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diff
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|
136 |
val inner_sets = map (fn sets => nth sets i) inner_setss; |
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diff
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|
137 |
val outer_map = mk_map_of_bnf oDs CAs setTs outer; |
7f79f94a432c
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parents:
diff
changeset
|
138 |
val map_inner_sets = Term.list_comb (outer_map, inner_sets); |
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diff
changeset
|
139 |
val collect_image = mk_collect |
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parents:
diff
changeset
|
140 |
(map2 (fn f => fn set => HOLogic.mk_comp (mk_image f, set)) inner_sets outer_sets) |
7f79f94a432c
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changeset
|
141 |
(CCA --> HOLogic.mk_setT T); |
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changeset
|
142 |
in |
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diff
changeset
|
143 |
(Library.foldl1 HOLogic.mk_comp [mk_Union T, outer_set, map_inner_sets], |
7f79f94a432c
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changeset
|
144 |
HOLogic.mk_comp (mk_Union T, collect_image)) |
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|
145 |
end; |
7f79f94a432c
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changeset
|
146 |
|
49303 | 147 |
val (sets, sets_alt) = map_split mk_set (0 upto ilive - 1); |
48975
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changeset
|
148 |
|
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parents:
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changeset
|
149 |
(*(inner_1.bd +c ... +c inner_m.bd) *c outer.bd*) |
49303 | 150 |
val bd = Term.absdummy CCA (mk_cprod (Library.foldr1 (uncurry mk_csum) inner_bds) outer_bd); |
48975
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diff
changeset
|
151 |
|
49630 | 152 |
fun map_id_tac _ = |
153 |
mk_comp_map_id_tac (map_id_of_bnf outer) (map_cong_of_bnf outer) |
|
154 |
(map map_id_of_bnf inners); |
|
48975
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parents:
diff
changeset
|
155 |
|
49303 | 156 |
fun map_comp_tac _ = |
48975
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parents:
diff
changeset
|
157 |
mk_comp_map_comp_tac (map_comp_of_bnf outer) (map_cong_of_bnf outer) |
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parents:
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changeset
|
158 |
(map map_comp_of_bnf inners); |
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parents:
diff
changeset
|
159 |
|
49303 | 160 |
fun mk_single_set_natural_tac i _ = |
48975
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parents:
diff
changeset
|
161 |
mk_comp_set_natural_tac (map_comp_of_bnf outer) (map_cong_of_bnf outer) |
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parents:
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changeset
|
162 |
(collect_set_natural_of_bnf outer) |
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parents:
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changeset
|
163 |
(map ((fn thms => nth thms i) o set_natural_of_bnf) inners); |
7f79f94a432c
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parents:
diff
changeset
|
164 |
|
49303 | 165 |
val set_natural_tacs = map mk_single_set_natural_tac (0 upto ilive - 1); |
48975
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parents:
diff
changeset
|
166 |
|
49303 | 167 |
fun bd_card_order_tac _ = |
48975
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parents:
diff
changeset
|
168 |
mk_comp_bd_card_order_tac (map bd_card_order_of_bnf inners) (bd_card_order_of_bnf outer); |
7f79f94a432c
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parents:
diff
changeset
|
169 |
|
49303 | 170 |
fun bd_cinfinite_tac _ = |
48975
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parents:
diff
changeset
|
171 |
mk_comp_bd_cinfinite_tac (bd_cinfinite_of_bnf inner) (bd_cinfinite_of_bnf outer); |
7f79f94a432c
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diff
changeset
|
172 |
|
49303 | 173 |
val set_alt_thms = |
48975
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parents:
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|
174 |
if ! quick_and_dirty then |
49456 | 175 |
[] |
48975
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|
176 |
else |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49019
diff
changeset
|
177 |
map (fn goal => |
0e5b859e1c91
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traytel
parents:
49019
diff
changeset
|
178 |
Skip_Proof.prove lthy [] [] goal |
0e5b859e1c91
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traytel
parents:
49019
diff
changeset
|
179 |
(fn {context, ...} => (mk_comp_set_alt_tac context (collect_set_natural_of_bnf outer))) |
0e5b859e1c91
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parents:
49019
diff
changeset
|
180 |
|> Thm.close_derivation) |
49303 | 181 |
(map2 (curry (HOLogic.mk_Trueprop o HOLogic.mk_eq)) sets sets_alt); |
48975
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diff
changeset
|
182 |
|
49303 | 183 |
fun map_cong_tac _ = |
184 |
mk_comp_map_cong_tac set_alt_thms (map_cong_of_bnf outer) (map map_cong_of_bnf inners); |
|
48975
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parents:
diff
changeset
|
185 |
|
49303 | 186 |
val set_bd_tacs = |
48975
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diff
changeset
|
187 |
if ! quick_and_dirty then |
49669 | 188 |
replicate ilive (K all_tac) |
48975
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parents:
diff
changeset
|
189 |
else |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
190 |
let |
7f79f94a432c
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parents:
diff
changeset
|
191 |
val outer_set_bds = set_bd_of_bnf outer; |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
192 |
val inner_set_bdss = map set_bd_of_bnf inners; |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
193 |
val inner_bd_Card_orders = map bd_Card_order_of_bnf inners; |
49303 | 194 |
fun single_set_bd_thm i j = |
48975
7f79f94a432c
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blanchet
parents:
diff
changeset
|
195 |
@{thm comp_single_set_bd} OF [nth inner_bd_Card_orders j, nth (nth inner_set_bdss j) i, |
7f79f94a432c
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parents:
diff
changeset
|
196 |
nth outer_set_bds j] |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
197 |
val single_set_bd_thmss = |
49303 | 198 |
map ((fn f => map f (0 upto olive - 1)) o single_set_bd_thm) (0 upto ilive - 1); |
48975
7f79f94a432c
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blanchet
parents:
diff
changeset
|
199 |
in |
49303 | 200 |
map2 (fn set_alt => fn single_set_bds => fn {context, ...} => |
201 |
mk_comp_set_bd_tac context set_alt single_set_bds) |
|
202 |
set_alt_thms single_set_bd_thmss |
|
48975
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parents:
diff
changeset
|
203 |
end; |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
204 |
|
49303 | 205 |
val in_alt_thm = |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
206 |
let |
49303 | 207 |
val inx = mk_in Asets sets CCA; |
208 |
val in_alt = mk_in (map2 (mk_in Asets) inner_setss CAs) outer_sets CCA; |
|
209 |
val goal = fold_rev Logic.all Asets (mk_Trueprop_eq (inx, in_alt)); |
|
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
210 |
in |
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
211 |
Skip_Proof.prove lthy [] [] goal |
49303 | 212 |
(fn {context, ...} => mk_comp_in_alt_tac context set_alt_thms) |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
213 |
|> Thm.close_derivation |
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
214 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
215 |
|
49303 | 216 |
fun in_bd_tac _ = |
217 |
mk_comp_in_bd_tac in_alt_thm (map in_bd_of_bnf inners) (in_bd_of_bnf outer) |
|
48975
7f79f94a432c
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blanchet
parents:
diff
changeset
|
218 |
(map bd_Cinfinite_of_bnf inners) (bd_Card_order_of_bnf outer); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
219 |
|
49303 | 220 |
fun map_wpull_tac _ = |
221 |
mk_map_wpull_tac in_alt_thm (map map_wpull_of_bnf inners) (map_wpull_of_bnf outer); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
222 |
|
49506 | 223 |
fun srel_O_Gr_tac _ = |
49456 | 224 |
let |
49463 | 225 |
val basic_thms = @{thms mem_Collect_eq fst_conv snd_conv}; (*TODO: tune*) |
49506 | 226 |
val outer_srel_Gr = srel_Gr_of_bnf outer RS sym; |
227 |
val outer_srel_cong = srel_cong_of_bnf outer; |
|
49463 | 228 |
val thm = |
49512 | 229 |
(trans OF [in_alt_thm RS @{thm O_Gr_cong}, |
49463 | 230 |
trans OF [@{thm arg_cong2[of _ _ _ _ relcomp]} OF |
49506 | 231 |
[trans OF [outer_srel_Gr RS @{thm arg_cong[of _ _ converse]}, |
232 |
srel_converse_of_bnf outer RS sym], outer_srel_Gr], |
|
233 |
trans OF [srel_O_of_bnf outer RS sym, outer_srel_cong OF |
|
234 |
(map (fn bnf => srel_O_Gr_of_bnf bnf RS sym) inners)]]] RS sym) |
|
235 |
|> unfold_thms lthy (basic_thms @ srel_def_of_bnf outer :: map srel_def_of_bnf inners); |
|
49456 | 236 |
in |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49503
diff
changeset
|
237 |
unfold_thms_tac lthy basic_thms THEN rtac thm 1 |
49463 | 238 |
end; |
49456 | 239 |
|
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
240 |
val tacs = zip_axioms map_id_tac map_comp_tac map_cong_tac set_natural_tacs bd_card_order_tac |
49506 | 241 |
bd_cinfinite_tac set_bd_tacs in_bd_tac map_wpull_tac srel_O_Gr_tac; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
242 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
243 |
val outer_wits = mk_wits_of_bnf (replicate onwits oDs) (replicate onwits CAs) outer; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
244 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
245 |
val inner_witss = map (map (fn (I, wit) => Term.list_comb (wit, map (nth xs) I))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
246 |
(map3 (fn Ds => fn n => mk_wits_of_bnf (replicate n Ds) (replicate n As)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
247 |
Dss inwitss inners); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
248 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
249 |
val inner_witsss = map (map (nth inner_witss) o fst) outer_wits; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
250 |
|
49303 | 251 |
val wits = (inner_witsss, (map (single o snd) outer_wits)) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
252 |
|-> map2 (fold (map_product (fn iwit => fn owit => owit $ iwit))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
253 |
|> flat |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
254 |
|> map (`(fn t => Term.add_frees t [])) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
255 |
|> minimize_wits |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
256 |
|> map (fn (frees, t) => fold absfree frees t); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
257 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
258 |
fun wit_tac {context = ctxt, ...} = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
259 |
mk_comp_wit_tac ctxt (wit_thms_of_bnf outer) (collect_set_natural_of_bnf outer) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
260 |
(maps wit_thms_of_bnf inners); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
261 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
262 |
val (bnf', lthy') = |
49538 | 263 |
bnf_def const_policy (K Dont_Note) qualify tacs wit_tac (SOME (oDs @ flat Dss)) |
49507 | 264 |
(((((b, mapx), sets), bd), wits), SOME rel) lthy; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
265 |
in |
49503 | 266 |
(bnf', (add_bnf_to_unfolds bnf' unfold_set, lthy')) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
267 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
268 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
269 |
(* Killing live variables *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
270 |
|
49502 | 271 |
fun kill_bnf qualify n bnf (unfold_set, lthy) = if n = 0 then (bnf, (unfold_set, lthy)) else |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
272 |
let |
49425 | 273 |
val b = Binding.suffix_name (mk_killN n) (name_of_bnf bnf); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
274 |
val live = live_of_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
275 |
val dead = dead_of_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
276 |
val nwits = nwits_of_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
277 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
278 |
(* TODO: check 0 < n <= live *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
279 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
280 |
val (Ds, lthy1) = apfst (map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
281 |
(Variable.invent_types (replicate dead HOLogic.typeS) lthy); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
282 |
val ((killedAs, As), lthy2) = apfst (`(take n) o map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
283 |
(Variable.invent_types (replicate live HOLogic.typeS) lthy1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
284 |
val (Bs, _(*lthy3*)) = apfst (append killedAs o map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
285 |
(Variable.invent_types (replicate (live - n) HOLogic.typeS) lthy2); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
286 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
287 |
val ((Asets, lives), _(*names_lthy*)) = lthy |
49456 | 288 |
|> mk_Frees "A" (map HOLogic.mk_setT (drop n As)) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
289 |
||>> mk_Frees "x" (drop n As); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
290 |
val xs = map (fn T => HOLogic.choice_const T $ absdummy T @{term True}) killedAs @ lives; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
291 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
292 |
val T = mk_T_of_bnf Ds As bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
293 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
294 |
(*bnf.map id ... id*) |
49303 | 295 |
val mapx = Term.list_comb (mk_map_of_bnf Ds As Bs bnf, map HOLogic.id_const killedAs); |
49507 | 296 |
(*bnf.rel (op =) ... (op =)*) |
297 |
val rel = Term.list_comb (mk_rel_of_bnf Ds As Bs bnf, map HOLogic.eq_const killedAs); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
298 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
299 |
val bnf_sets = mk_sets_of_bnf (replicate live Ds) (replicate live As) bnf; |
49303 | 300 |
val sets = drop n bnf_sets; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
301 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
302 |
(*(|UNIV :: A1 set| +c ... +c |UNIV :: An set|) *c bnf.bd*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
303 |
val bnf_bd = mk_bd_of_bnf Ds As bnf; |
49303 | 304 |
val bd = mk_cprod |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
305 |
(Library.foldr1 (uncurry mk_csum) (map (mk_card_of o HOLogic.mk_UNIV) killedAs)) bnf_bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
306 |
|
49303 | 307 |
fun map_id_tac _ = rtac (map_id_of_bnf bnf) 1; |
308 |
fun map_comp_tac {context, ...} = |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49503
diff
changeset
|
309 |
unfold_thms_tac context ((map_comp_of_bnf bnf RS sym) :: @{thms o_assoc id_o o_id}) THEN |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
310 |
rtac refl 1; |
49303 | 311 |
fun map_cong_tac {context, ...} = |
49304 | 312 |
mk_kill_map_cong_tac context n (live - n) (map_cong_of_bnf bnf); |
49303 | 313 |
val set_natural_tacs = map (fn thm => fn _ => rtac thm 1) (drop n (set_natural_of_bnf bnf)); |
49304 | 314 |
fun bd_card_order_tac _ = mk_kill_bd_card_order_tac n (bd_card_order_of_bnf bnf); |
315 |
fun bd_cinfinite_tac _ = mk_kill_bd_cinfinite_tac (bd_Cinfinite_of_bnf bnf); |
|
49303 | 316 |
val set_bd_tacs = |
49304 | 317 |
map (fn thm => fn _ => mk_kill_set_bd_tac (bd_Card_order_of_bnf bnf) thm) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
318 |
(drop n (set_bd_of_bnf bnf)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
319 |
|
49303 | 320 |
val in_alt_thm = |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
321 |
let |
49303 | 322 |
val inx = mk_in Asets sets T; |
323 |
val in_alt = mk_in (map HOLogic.mk_UNIV killedAs @ Asets) bnf_sets T; |
|
324 |
val goal = fold_rev Logic.all Asets (mk_Trueprop_eq (inx, in_alt)); |
|
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
325 |
in |
49304 | 326 |
Skip_Proof.prove lthy [] [] goal (K kill_in_alt_tac) |> Thm.close_derivation |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
327 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
328 |
|
49303 | 329 |
fun in_bd_tac _ = |
49304 | 330 |
mk_kill_in_bd_tac n (live > n) in_alt_thm (in_bd_of_bnf bnf) (bd_Card_order_of_bnf bnf) |
49303 | 331 |
(bd_Cinfinite_of_bnf bnf) (bd_Cnotzero_of_bnf bnf); |
332 |
fun map_wpull_tac _ = mk_map_wpull_tac in_alt_thm [] (map_wpull_of_bnf bnf); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
333 |
|
49506 | 334 |
fun srel_O_Gr_tac _ = |
49456 | 335 |
let |
49506 | 336 |
val srel_Gr = srel_Gr_of_bnf bnf RS sym |
49463 | 337 |
val thm = |
49512 | 338 |
(trans OF [in_alt_thm RS @{thm O_Gr_cong}, |
49463 | 339 |
trans OF [@{thm arg_cong2[of _ _ _ _ relcomp]} OF |
49506 | 340 |
[trans OF [srel_Gr RS @{thm arg_cong[of _ _ converse]}, |
341 |
srel_converse_of_bnf bnf RS sym], srel_Gr], |
|
342 |
trans OF [srel_O_of_bnf bnf RS sym, srel_cong_of_bnf bnf OF |
|
49463 | 343 |
(replicate n @{thm trans[OF Gr_UNIV_id[OF refl] Id_alt[symmetric]]} @ |
344 |
replicate (live - n) @{thm Gr_fst_snd})]]] RS sym) |
|
49506 | 345 |
|> unfold_thms lthy (srel_def_of_bnf bnf :: @{thms Id_def' mem_Collect_eq split_conv}); |
49456 | 346 |
in |
49463 | 347 |
rtac thm 1 |
49456 | 348 |
end; |
349 |
||
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
350 |
val tacs = zip_axioms map_id_tac map_comp_tac map_cong_tac set_natural_tacs bd_card_order_tac |
49506 | 351 |
bd_cinfinite_tac set_bd_tacs in_bd_tac map_wpull_tac srel_O_Gr_tac; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
352 |
|
49303 | 353 |
val bnf_wits = mk_wits_of_bnf (replicate nwits Ds) (replicate nwits As) bnf; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
354 |
|
49303 | 355 |
val wits = map (fn t => fold absfree (Term.add_frees t []) t) |
356 |
(map (fn (I, wit) => Term.list_comb (wit, map (nth xs) I)) bnf_wits); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
357 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
358 |
fun wit_tac _ = mk_simple_wit_tac (wit_thms_of_bnf bnf); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
359 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
360 |
val (bnf', lthy') = |
49538 | 361 |
bnf_def Smart_Inline (K Dont_Note) qualify tacs wit_tac (SOME (killedAs @ Ds)) |
49507 | 362 |
(((((b, mapx), sets), Term.absdummy T bd), wits), SOME rel) lthy; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
363 |
in |
49503 | 364 |
(bnf', (add_bnf_to_unfolds bnf' unfold_set, lthy')) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
365 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
366 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
367 |
(* Adding dummy live variables *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
368 |
|
49502 | 369 |
fun lift_bnf qualify n bnf (unfold_set, lthy) = if n = 0 then (bnf, (unfold_set, lthy)) else |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
370 |
let |
49425 | 371 |
val b = Binding.suffix_name (mk_liftN n) (name_of_bnf bnf); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
372 |
val live = live_of_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
373 |
val dead = dead_of_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
374 |
val nwits = nwits_of_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
375 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
376 |
(* TODO: check 0 < n *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
377 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
378 |
val (Ds, lthy1) = apfst (map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
379 |
(Variable.invent_types (replicate dead HOLogic.typeS) lthy); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
380 |
val ((newAs, As), lthy2) = apfst (chop n o map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
381 |
(Variable.invent_types (replicate (n + live) HOLogic.typeS) lthy1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
382 |
val ((newBs, Bs), _(*lthy3*)) = apfst (chop n o map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
383 |
(Variable.invent_types (replicate (n + live) HOLogic.typeS) lthy2); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
384 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
385 |
val (Asets, _(*names_lthy*)) = lthy |
49456 | 386 |
|> mk_Frees "A" (map HOLogic.mk_setT (newAs @ As)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
387 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
388 |
val T = mk_T_of_bnf Ds As bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
389 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
390 |
(*%f1 ... fn. bnf.map*) |
49303 | 391 |
val mapx = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
392 |
fold_rev Term.absdummy (map2 (curry (op -->)) newAs newBs) (mk_map_of_bnf Ds As Bs bnf); |
49507 | 393 |
(*%Q1 ... Qn. bnf.rel*) |
394 |
val rel = fold_rev Term.absdummy (map2 mk_pred2T newAs newBs) (mk_rel_of_bnf Ds As Bs bnf); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
395 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
396 |
val bnf_sets = mk_sets_of_bnf (replicate live Ds) (replicate live As) bnf; |
49303 | 397 |
val sets = map (fn A => absdummy T (HOLogic.mk_set A [])) newAs @ bnf_sets; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
398 |
|
49303 | 399 |
val bd = mk_bd_of_bnf Ds As bnf; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
400 |
|
49303 | 401 |
fun map_id_tac _ = rtac (map_id_of_bnf bnf) 1; |
402 |
fun map_comp_tac {context, ...} = |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49503
diff
changeset
|
403 |
unfold_thms_tac context ((map_comp_of_bnf bnf RS sym) :: @{thms o_assoc id_o o_id}) THEN |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
404 |
rtac refl 1; |
49303 | 405 |
fun map_cong_tac {context, ...} = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
406 |
rtac (map_cong_of_bnf bnf) 1 THEN REPEAT_DETERM_N live (Goal.assume_rule_tac context 1); |
49303 | 407 |
val set_natural_tacs = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
408 |
if ! quick_and_dirty then |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
409 |
replicate (n + live) (K all_tac) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
410 |
else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
411 |
replicate n (K empty_natural_tac) @ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
412 |
map (fn thm => fn _ => rtac thm 1) (set_natural_of_bnf bnf); |
49303 | 413 |
fun bd_card_order_tac _ = rtac (bd_card_order_of_bnf bnf) 1; |
414 |
fun bd_cinfinite_tac _ = rtac (bd_cinfinite_of_bnf bnf) 1; |
|
415 |
val set_bd_tacs = |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
416 |
if ! quick_and_dirty then |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
417 |
replicate (n + live) (K all_tac) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
418 |
else |
49304 | 419 |
replicate n (K (mk_lift_set_bd_tac (bd_Card_order_of_bnf bnf))) @ |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
420 |
(map (fn thm => fn _ => rtac thm 1) (set_bd_of_bnf bnf)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
421 |
|
49303 | 422 |
val in_alt_thm = |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
423 |
let |
49303 | 424 |
val inx = mk_in Asets sets T; |
425 |
val in_alt = mk_in (drop n Asets) bnf_sets T; |
|
426 |
val goal = fold_rev Logic.all Asets (mk_Trueprop_eq (inx, in_alt)); |
|
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
427 |
in |
49304 | 428 |
Skip_Proof.prove lthy [] [] goal (K lift_in_alt_tac) |> Thm.close_derivation |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
429 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
430 |
|
49304 | 431 |
fun in_bd_tac _ = mk_lift_in_bd_tac n in_alt_thm (in_bd_of_bnf bnf) (bd_Card_order_of_bnf bnf); |
49303 | 432 |
fun map_wpull_tac _ = mk_map_wpull_tac in_alt_thm [] (map_wpull_of_bnf bnf); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
433 |
|
49506 | 434 |
fun srel_O_Gr_tac _ = |
435 |
mk_simple_srel_O_Gr_tac lthy (srel_def_of_bnf bnf) (srel_O_Gr_of_bnf bnf) in_alt_thm; |
|
49456 | 436 |
|
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
437 |
val tacs = zip_axioms map_id_tac map_comp_tac map_cong_tac set_natural_tacs bd_card_order_tac |
49506 | 438 |
bd_cinfinite_tac set_bd_tacs in_bd_tac map_wpull_tac srel_O_Gr_tac; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
439 |
|
49303 | 440 |
val wits = map snd (mk_wits_of_bnf (replicate nwits Ds) (replicate nwits As) bnf); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
441 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
442 |
fun wit_tac _ = mk_simple_wit_tac (wit_thms_of_bnf bnf); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
443 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
444 |
val (bnf', lthy') = |
49538 | 445 |
bnf_def Smart_Inline (K Dont_Note) qualify tacs wit_tac (SOME Ds) |
49507 | 446 |
(((((b, mapx), sets), Term.absdummy T bd), wits), SOME rel) lthy; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
447 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
448 |
in |
49503 | 449 |
(bnf', (add_bnf_to_unfolds bnf' unfold_set, lthy')) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
450 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
451 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
452 |
(* Changing the order of live variables *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
453 |
|
49502 | 454 |
fun permute_bnf qualify src dest bnf (unfold_set, lthy) = |
455 |
if src = dest then (bnf, (unfold_set, lthy)) else |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
456 |
let |
49425 | 457 |
val b = Binding.suffix_name (mk_permuteN src dest) (name_of_bnf bnf); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
458 |
val live = live_of_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
459 |
val dead = dead_of_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
460 |
val nwits = nwits_of_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
461 |
fun permute xs = mk_permute src dest xs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
462 |
fun permute_rev xs = mk_permute dest src xs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
463 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
464 |
val (Ds, lthy1) = apfst (map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
465 |
(Variable.invent_types (replicate dead HOLogic.typeS) lthy); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
466 |
val (As, lthy2) = apfst (map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
467 |
(Variable.invent_types (replicate live HOLogic.typeS) lthy1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
468 |
val (Bs, _(*lthy3*)) = apfst (map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
469 |
(Variable.invent_types (replicate live HOLogic.typeS) lthy2); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
470 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
471 |
val (Asets, _(*names_lthy*)) = lthy |
49456 | 472 |
|> mk_Frees "A" (map HOLogic.mk_setT (permute As)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
473 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
474 |
val T = mk_T_of_bnf Ds As bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
475 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
476 |
(*%f(1) ... f(n). bnf.map f\<sigma>(1) ... f\<sigma>(n)*) |
49303 | 477 |
val mapx = fold_rev Term.absdummy (permute (map2 (curry op -->) As Bs)) |
49463 | 478 |
(Term.list_comb (mk_map_of_bnf Ds As Bs bnf, permute_rev (map Bound (live - 1 downto 0)))); |
49507 | 479 |
(*%Q(1) ... Q(n). bnf.rel Q\<sigma>(1) ... Q\<sigma>(n)*) |
480 |
val rel = fold_rev Term.absdummy (permute (map2 mk_pred2T As Bs)) |
|
481 |
(Term.list_comb (mk_rel_of_bnf Ds As Bs bnf, permute_rev (map Bound (live - 1 downto 0)))); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
482 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
483 |
val bnf_sets = mk_sets_of_bnf (replicate live Ds) (replicate live As) bnf; |
49303 | 484 |
val sets = permute bnf_sets; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
485 |
|
49303 | 486 |
val bd = mk_bd_of_bnf Ds As bnf; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
487 |
|
49303 | 488 |
fun map_id_tac _ = rtac (map_id_of_bnf bnf) 1; |
489 |
fun map_comp_tac _ = rtac (map_comp_of_bnf bnf) 1; |
|
490 |
fun map_cong_tac {context, ...} = |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
491 |
rtac (map_cong_of_bnf bnf) 1 THEN REPEAT_DETERM_N live (Goal.assume_rule_tac context 1); |
49303 | 492 |
val set_natural_tacs = permute (map (fn thm => fn _ => rtac thm 1) (set_natural_of_bnf bnf)); |
493 |
fun bd_card_order_tac _ = rtac (bd_card_order_of_bnf bnf) 1; |
|
494 |
fun bd_cinfinite_tac _ = rtac (bd_cinfinite_of_bnf bnf) 1; |
|
495 |
val set_bd_tacs = permute (map (fn thm => fn _ => rtac thm 1) (set_bd_of_bnf bnf)); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
496 |
|
49303 | 497 |
val in_alt_thm = |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
498 |
let |
49303 | 499 |
val inx = mk_in Asets sets T; |
500 |
val in_alt = mk_in (permute_rev Asets) bnf_sets T; |
|
501 |
val goal = fold_rev Logic.all Asets (mk_Trueprop_eq (inx, in_alt)); |
|
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
502 |
in |
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
503 |
Skip_Proof.prove lthy [] [] goal (K (mk_permute_in_alt_tac src dest)) |
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
504 |
|> Thm.close_derivation |
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
505 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
506 |
|
49303 | 507 |
fun in_bd_tac _ = |
508 |
mk_permute_in_bd_tac src dest in_alt_thm (in_bd_of_bnf bnf) (bd_Card_order_of_bnf bnf); |
|
509 |
fun map_wpull_tac _ = mk_map_wpull_tac in_alt_thm [] (map_wpull_of_bnf bnf); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
510 |
|
49506 | 511 |
fun srel_O_Gr_tac _ = |
512 |
mk_simple_srel_O_Gr_tac lthy (srel_def_of_bnf bnf) (srel_O_Gr_of_bnf bnf) in_alt_thm; |
|
49456 | 513 |
|
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
514 |
val tacs = zip_axioms map_id_tac map_comp_tac map_cong_tac set_natural_tacs bd_card_order_tac |
49506 | 515 |
bd_cinfinite_tac set_bd_tacs in_bd_tac map_wpull_tac srel_O_Gr_tac; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
516 |
|
49303 | 517 |
val wits = map snd (mk_wits_of_bnf (replicate nwits Ds) (replicate nwits As) bnf); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
518 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
519 |
fun wit_tac _ = mk_simple_wit_tac (wit_thms_of_bnf bnf); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
520 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
521 |
val (bnf', lthy') = |
49538 | 522 |
bnf_def Smart_Inline (K Dont_Note) qualify tacs wit_tac (SOME Ds) |
49507 | 523 |
(((((b, mapx), sets), Term.absdummy T bd), wits), SOME rel) lthy; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
524 |
in |
49503 | 525 |
(bnf', (add_bnf_to_unfolds bnf' unfold_set, lthy')) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
526 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
527 |
|
49014 | 528 |
(* Composition pipeline *) |
529 |
||
530 |
fun permute_and_kill qualify n src dest bnf = |
|
531 |
bnf |
|
532 |
|> permute_bnf qualify src dest |
|
49304 | 533 |
#> uncurry (kill_bnf qualify n); |
49014 | 534 |
|
535 |
fun lift_and_permute qualify n src dest bnf = |
|
536 |
bnf |
|
49304 | 537 |
|> lift_bnf qualify n |
49014 | 538 |
#> uncurry (permute_bnf qualify src dest); |
539 |
||
49502 | 540 |
fun normalize_bnfs qualify Ass Ds sort bnfs unfold_set lthy = |
49014 | 541 |
let |
542 |
val before_kill_src = map (fn As => 0 upto (length As - 1)) Ass; |
|
543 |
val kill_poss = map (find_indices Ds) Ass; |
|
544 |
val live_poss = map2 (subtract (op =)) kill_poss before_kill_src; |
|
545 |
val before_kill_dest = map2 append kill_poss live_poss; |
|
546 |
val kill_ns = map length kill_poss; |
|
49502 | 547 |
val (inners', (unfold_set', lthy')) = |
49014 | 548 |
fold_map5 (fn i => permute_and_kill (qualify i)) |
549 |
(if length bnfs = 1 then [0] else (1 upto length bnfs)) |
|
49502 | 550 |
kill_ns before_kill_src before_kill_dest bnfs (unfold_set, lthy); |
49014 | 551 |
|
552 |
val Ass' = map2 (map o nth) Ass live_poss; |
|
553 |
val As = sort Ass'; |
|
554 |
val after_lift_dest = replicate (length Ass') (0 upto (length As - 1)); |
|
555 |
val old_poss = map (map (fn x => find_index (fn y => x = y) As)) Ass'; |
|
556 |
val new_poss = map2 (subtract (op =)) old_poss after_lift_dest; |
|
557 |
val after_lift_src = map2 append new_poss old_poss; |
|
558 |
val lift_ns = map (fn xs => length As - length xs) Ass'; |
|
559 |
in |
|
560 |
((kill_poss, As), fold_map5 (fn i => lift_and_permute (qualify i)) |
|
561 |
(if length bnfs = 1 then [0] else (1 upto length bnfs)) |
|
49502 | 562 |
lift_ns after_lift_src after_lift_dest inners' (unfold_set', lthy')) |
49014 | 563 |
end; |
564 |
||
565 |
fun default_comp_sort Ass = |
|
566 |
Library.sort (Term_Ord.typ_ord o pairself TFree) (fold (fold (insert (op =))) Ass []); |
|
567 |
||
49502 | 568 |
fun compose_bnf const_policy qualify sort outer inners oDs Dss tfreess (unfold_set, lthy) = |
49014 | 569 |
let |
49425 | 570 |
val b = name_of_bnf outer; |
49014 | 571 |
|
49121 | 572 |
val Ass = map (map Term.dest_TFree) tfreess; |
49014 | 573 |
val Ds = fold (fold Term.add_tfreesT) (oDs :: Dss) []; |
574 |
||
49502 | 575 |
val ((kill_poss, As), (inners', (unfold_set', lthy'))) = |
576 |
normalize_bnfs qualify Ass Ds sort inners unfold_set lthy; |
|
49014 | 577 |
|
578 |
val Ds = oDs @ flat (map3 (append oo map o nth) tfreess kill_poss Dss); |
|
579 |
val As = map TFree As; |
|
580 |
in |
|
49425 | 581 |
apfst (rpair (Ds, As)) |
49502 | 582 |
(clean_compose_bnf const_policy (qualify 0) b outer inners' (unfold_set', lthy')) |
49014 | 583 |
end; |
584 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
585 |
(* Hide the type of the bound (optimization) and unfold the definitions (nicer to the user) *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
586 |
|
49502 | 587 |
fun seal_bnf unfold_set b Ds bnf lthy = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
588 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
589 |
val live = live_of_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
590 |
val nwits = nwits_of_bnf bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
591 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
592 |
val (As, lthy1) = apfst (map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
593 |
(Variable.invent_types (replicate live HOLogic.typeS) (fold Variable.declare_typ Ds lthy)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
594 |
val (Bs, _) = apfst (map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
595 |
(Variable.invent_types (replicate live HOLogic.typeS) lthy1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
596 |
|
49713
3d07ddf70f8b
do not expose details of internal data structures for composition of BNFs
traytel
parents:
49669
diff
changeset
|
597 |
val map_unfolds = #map_unfolds unfold_set; |
3d07ddf70f8b
do not expose details of internal data structures for composition of BNFs
traytel
parents:
49669
diff
changeset
|
598 |
val set_unfoldss = #set_unfoldss unfold_set; |
3d07ddf70f8b
do not expose details of internal data structures for composition of BNFs
traytel
parents:
49669
diff
changeset
|
599 |
val rel_unfolds = #rel_unfolds unfold_set; |
3d07ddf70f8b
do not expose details of internal data structures for composition of BNFs
traytel
parents:
49669
diff
changeset
|
600 |
val srel_unfolds = #srel_unfolds unfold_set; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
601 |
|
49507 | 602 |
val expand_maps = |
603 |
fold expand_term_const (map (single o Logic.dest_equals o Thm.prop_of) map_unfolds); |
|
604 |
val expand_sets = |
|
605 |
fold expand_term_const (map (map (Logic.dest_equals o Thm.prop_of)) set_unfoldss); |
|
606 |
val expand_rels = |
|
607 |
fold expand_term_const (map (single o Logic.dest_equals o Thm.prop_of) rel_unfolds); |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49503
diff
changeset
|
608 |
val unfold_maps = fold (unfold_thms lthy o single) map_unfolds; |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49503
diff
changeset
|
609 |
val unfold_sets = fold (unfold_thms lthy) set_unfoldss; |
49507 | 610 |
val unfold_rels = unfold_thms lthy rel_unfolds; |
49506 | 611 |
val unfold_srels = unfold_thms lthy srel_unfolds; |
49507 | 612 |
val unfold_all = unfold_sets o unfold_maps o unfold_rels o unfold_srels; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
613 |
val bnf_map = expand_maps (mk_map_of_bnf Ds As Bs bnf); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
614 |
val bnf_sets = map (expand_maps o expand_sets) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
615 |
(mk_sets_of_bnf (replicate live Ds) (replicate live As) bnf); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
616 |
val bnf_bd = mk_bd_of_bnf Ds As bnf; |
49507 | 617 |
val bnf_rel = expand_rels (mk_rel_of_bnf Ds As Bs bnf); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
618 |
val T = mk_T_of_bnf Ds As bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
619 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
620 |
(*bd should only depend on dead type variables!*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
621 |
val bd_repT = fst (dest_relT (fastype_of bnf_bd)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
622 |
val bdT_bind = Binding.suffix_name ("_" ^ bdTN) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
623 |
val params = fold Term.add_tfreesT Ds []; |
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49155
diff
changeset
|
624 |
val deads = map TFree params; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
625 |
|
49228 | 626 |
val ((bdT_name, (bdT_glob_info, bdT_loc_info)), lthy) = |
627 |
typedef false NONE (bdT_bind, params, NoSyn) |
|
628 |
(HOLogic.mk_UNIV bd_repT) NONE (EVERY' [rtac exI, rtac UNIV_I] 1) lthy; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
629 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
630 |
val bnf_bd' = mk_dir_image bnf_bd |
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49155
diff
changeset
|
631 |
(Const (#Abs_name bdT_glob_info, bd_repT --> Type (bdT_name, deads))) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
632 |
|
49228 | 633 |
val Abs_bdT_inj = mk_Abs_inj_thm (#Abs_inject bdT_loc_info); |
634 |
val Abs_bdT_bij = mk_Abs_bij_thm lthy Abs_bdT_inj (#Abs_cases bdT_loc_info); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
635 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
636 |
val bd_ordIso = @{thm dir_image} OF [Abs_bdT_inj, bd_Card_order_of_bnf bnf]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
637 |
val bd_card_order = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
638 |
@{thm card_order_dir_image} OF [Abs_bdT_bij, bd_card_order_of_bnf bnf]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
639 |
val bd_cinfinite = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
640 |
(@{thm Cinfinite_cong} OF [bd_ordIso, bd_Cinfinite_of_bnf bnf]) RS conjunct1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
641 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
642 |
val set_bds = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
643 |
map (fn thm => @{thm ordLeq_ordIso_trans} OF [thm, bd_ordIso]) (set_bd_of_bnf bnf); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
644 |
val in_bd = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
645 |
@{thm ordLeq_ordIso_trans} OF [in_bd_of_bnf bnf, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
646 |
@{thm cexp_cong2_Cnotzero} OF [bd_ordIso, if live = 0 then |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
647 |
@{thm ctwo_Cnotzero} else @{thm ctwo_Cnotzero} RS @{thm csum_Cnotzero2}, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
648 |
bd_Card_order_of_bnf bnf]]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
649 |
|
49463 | 650 |
fun mk_tac thm {context = ctxt, prems = _} = |
651 |
(rtac (unfold_all thm) THEN' |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
652 |
SOLVE o REPEAT_DETERM o (atac ORELSE' Goal.assume_rule_tac ctxt)) 1; |
49456 | 653 |
|
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
654 |
val tacs = zip_axioms (mk_tac (map_id_of_bnf bnf)) (mk_tac (map_comp_of_bnf bnf)) |
49456 | 655 |
(mk_tac (map_cong_of_bnf bnf)) (map mk_tac (set_natural_of_bnf bnf)) |
656 |
(K (rtac bd_card_order 1)) (K (rtac bd_cinfinite 1)) (map mk_tac set_bds) (mk_tac in_bd) |
|
49463 | 657 |
(mk_tac (map_wpull_of_bnf bnf)) |
49506 | 658 |
(mk_tac (unfold_thms lthy [srel_def_of_bnf bnf] (srel_O_Gr_of_bnf bnf))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
659 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
660 |
val bnf_wits = map snd (mk_wits_of_bnf (replicate nwits Ds) (replicate nwits As) bnf); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
661 |
|
49463 | 662 |
fun wit_tac _ = mk_simple_wit_tac (map unfold_all (wit_thms_of_bnf bnf)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
663 |
|
49538 | 664 |
val (bnf', lthy') = bnf_def Hardly_Inline (user_policy Dont_Note) I tacs wit_tac (SOME deads) |
49507 | 665 |
(((((b, bnf_map), bnf_sets), Term.absdummy T bnf_bd'), bnf_wits), SOME bnf_rel) lthy; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
666 |
in |
49456 | 667 |
((bnf', deads), lthy') |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
668 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
669 |
|
49456 | 670 |
fun bnf_of_typ _ _ _ (T as TFree _) accum = ((ID_bnf, ([], [T])), accum) |
49425 | 671 |
| bnf_of_typ _ _ _ (TVar _) _ = error "Unexpected schematic variable" |
49502 | 672 |
| bnf_of_typ const_policy qualify' sort (T as Type (C, Ts)) (unfold_set, lthy) = |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
673 |
let |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
674 |
val tfrees = Term.add_tfreesT T []; |
49236 | 675 |
val bnf_opt = if null tfrees then NONE else bnf_of lthy C; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
676 |
in |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
677 |
(case bnf_opt of |
49502 | 678 |
NONE => ((DEADID_bnf, ([T], [])), (unfold_set, lthy)) |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
679 |
| SOME bnf => |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
680 |
if forall (can Term.dest_TFree) Ts andalso length Ts = length tfrees then |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
681 |
let |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
682 |
val T' = T_of_bnf bnf; |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
683 |
val deads = deads_of_bnf bnf; |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
684 |
val lives = lives_of_bnf bnf; |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
685 |
val tvars' = Term.add_tvarsT T' []; |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
686 |
val deads_lives = |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
687 |
pairself (map (Term.typ_subst_TVars (map fst tvars' ~~ map TFree tfrees))) |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
688 |
(deads, lives); |
49502 | 689 |
in ((bnf, deads_lives), (unfold_set, lthy)) end |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
690 |
else |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
691 |
let |
49425 | 692 |
val name = Long_Name.base_name C; |
693 |
fun qualify i = |
|
694 |
let val namei = name ^ nonzero_string_of_int i; |
|
695 |
in qualify' o Binding.qualify true namei end; |
|
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
696 |
val odead = dead_of_bnf bnf; |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
697 |
val olive = live_of_bnf bnf; |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
698 |
val oDs_pos = find_indices [TFree ("dead", [])] (snd (Term.dest_Type |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
699 |
(mk_T_of_bnf (replicate odead (TFree ("dead", []))) (replicate olive dummyT) bnf))); |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
700 |
val oDs = map (nth Ts) oDs_pos; |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
701 |
val Ts' = map (nth Ts) (subtract (op =) oDs_pos (0 upto length Ts - 1)); |
49502 | 702 |
val ((inners, (Dss, Ass)), (unfold_set', lthy')) = |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
703 |
apfst (apsnd split_list o split_list) |
49425 | 704 |
(fold_map2 (fn i => bnf_of_typ Smart_Inline (qualify i) sort) |
49502 | 705 |
(if length Ts' = 1 then [0] else (1 upto length Ts')) Ts' (unfold_set, lthy)); |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
706 |
in |
49502 | 707 |
compose_bnf const_policy qualify sort bnf inners oDs Dss Ass (unfold_set', lthy') |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
708 |
end) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
709 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
710 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
711 |
end; |