author | blanchet |
Tue, 04 Mar 2014 18:57:17 +0100 | |
changeset 55904 | 0ef30d52c5e4 |
parent 55900 | 21aa30ea6806 |
child 55906 | abf91ebd0820 |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/BNF/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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*) |
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val inline_ref = Unsynchronized.ref true; |
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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 comp_cache |
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type unfold_set |
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val empty_comp_cache: comp_cache |
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val empty_unfolds: unfold_set |
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exception BAD_DEAD of typ * typ |
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val bnf_of_typ: BNF_Def.inline_policy -> (binding -> binding) -> |
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((string * sort) list list -> (string * sort) list) -> (string * sort) list -> |
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(string * sort) list -> typ -> (comp_cache * unfold_set) * local_theory -> |
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(BNF_Def.bnf * (typ list * typ list)) * ((comp_cache * unfold_set) * local_theory) |
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val default_comp_sort: (string * sort) list list -> (string * sort) list |
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val normalize_bnfs: (int -> binding -> binding) -> ''a list list -> ''a list -> |
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(''a list list -> ''a list) -> BNF_Def.bnf list -> (comp_cache * unfold_set) * local_theory -> |
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(int list list * ''a list) * (BNF_Def.bnf list * ((comp_cache * unfold_set) * local_theory)) |
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type absT_info = |
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{absT: typ, |
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repT: typ, |
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abs: term, |
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rep: term, |
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abs_inject: thm, |
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abs_inverse: thm, |
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type_definition: thm} |
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val morph_absT_info: morphism -> absT_info -> absT_info |
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val mk_absT: theory -> typ -> typ -> typ -> typ |
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val mk_repT: typ -> typ -> typ -> typ |
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val mk_abs: typ -> term -> term |
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val mk_rep: typ -> term -> term |
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val seal_bnf: (binding -> binding) -> unfold_set -> binding -> typ list -> BNF_Def.bnf -> |
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local_theory -> (BNF_Def.bnf * (typ list * absT_info)) * local_theory |
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end; |
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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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type comp_cache = (bnf * (typ list * typ list)) Typtab.table; |
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fun key_of_types s Ts = Type (s, Ts); |
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fun key_of_typess s = key_of_types s o map (key_of_types ""); |
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fun typ_of_int n = Type (string_of_int n, []); |
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fun typ_of_bnf bnf = |
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key_of_typess "" [[T_of_bnf bnf], lives_of_bnf bnf, sort Term_Ord.typ_ord (deads_of_bnf bnf)]; |
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fun key_of_kill n bnf = key_of_types "k" [typ_of_int n, typ_of_bnf bnf]; |
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fun key_of_lift n bnf = key_of_types "l" [typ_of_int n, typ_of_bnf bnf]; |
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fun key_of_permute src dest bnf = |
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key_of_types "p" (map typ_of_int src @ map typ_of_int dest @ [typ_of_bnf bnf]); |
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fun key_of_compose oDs Dss Ass outer inners = |
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key_of_types "c" (map (key_of_typess "") [[oDs], Dss, Ass, [map typ_of_bnf (outer :: inners)]]); |
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fun cache_comp_simple key cache (bnf, (unfold_set, lthy)) = |
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(bnf, ((Typtab.update (key, (bnf, ([], []))) cache, unfold_set), lthy)); |
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fun cache_comp key (bnf_Ds_As, ((cache, unfold_set), lthy)) = |
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(bnf_Ds_As, ((Typtab.update (key, bnf_Ds_As) cache, unfold_set), lthy)); |
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(* TODO: Replace by "BNF_Defs.defs list"? *) |
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type unfold_set = { |
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map_unfolds: thm list, |
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set_unfoldss: thm list list, |
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rel_unfolds: thm list |
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}; |
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val empty_comp_cache = Typtab.empty; |
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val empty_unfolds = {map_unfolds = [], set_unfoldss = [], rel_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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fun add_to_unfolds map sets rel |
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{map_unfolds, set_unfoldss, rel_unfolds} = |
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{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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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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val bdTN = "bdT"; |
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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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(*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 is_sum_prod_natLeq (Const (@{const_name csum}, _) $ t $ u) = forall is_sum_prod_natLeq [t, u] |
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| is_sum_prod_natLeq (Const (@{const_name cprod}, _) $ t $ u) = forall is_sum_prod_natLeq [t, u] |
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| is_sum_prod_natLeq t = t aconv @{term natLeq}; |
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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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(* 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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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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142 |
(Variable.invent_types (replicate ilive HOLogic.typeS) lthy2); |
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|
143 |
val As = if ilive > 0 then hd Ass else []; |
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|
144 |
val Ass_repl = replicate olive As; |
7f79f94a432c
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|
145 |
val (Bs, _(*lthy4*)) = apfst (map TFree) |
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changeset
|
146 |
(Variable.invent_types (replicate ilive HOLogic.typeS) lthy3); |
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|
147 |
val Bss_repl = replicate olive Bs; |
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|
148 |
|
49463 | 149 |
val ((((fs', Qs'), Asets), xs), _(*names_lthy*)) = lthy |
52923 | 150 |
|> apfst snd o mk_Frees' "f" (map2 (curry op -->) As Bs) |
49463 | 151 |
||>> apfst snd o mk_Frees' "Q" (map2 mk_pred2T As Bs) |
49456 | 152 |
||>> mk_Frees "A" (map HOLogic.mk_setT As) |
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|
153 |
||>> mk_Frees "x" As; |
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|
154 |
|
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changeset
|
155 |
val CAs = map3 mk_T_of_bnf Dss Ass_repl inners; |
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changeset
|
156 |
val CCA = mk_T_of_bnf oDs CAs outer; |
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parents:
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changeset
|
157 |
val CBs = map3 mk_T_of_bnf Dss Bss_repl inners; |
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parents:
diff
changeset
|
158 |
val outer_sets = mk_sets_of_bnf (replicate olive oDs) (replicate olive CAs) outer; |
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parents:
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changeset
|
159 |
val inner_setss = map3 mk_sets_of_bnf (map (replicate ilive) Dss) (replicate olive Ass) inners; |
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parents:
diff
changeset
|
160 |
val inner_bds = map3 mk_bd_of_bnf Dss Ass_repl inners; |
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parents:
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changeset
|
161 |
val outer_bd = mk_bd_of_bnf oDs CAs outer; |
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parents:
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changeset
|
162 |
|
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parents:
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changeset
|
163 |
(*%f1 ... fn. outer.map (inner_1.map f1 ... fn) ... (inner_m.map f1 ... fn)*) |
49303 | 164 |
val mapx = fold_rev Term.abs fs' |
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|
165 |
(Term.list_comb (mk_map_of_bnf oDs CAs CBs outer, |
49463 | 166 |
map2 (fn Ds => (fn f => Term.list_comb (f, map Bound (ilive - 1 downto 0))) o |
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|
167 |
mk_map_of_bnf Ds As Bs) Dss inners)); |
49507 | 168 |
(*%Q1 ... Qn. outer.rel (inner_1.rel Q1 ... Qn) ... (inner_m.rel Q1 ... Qn)*) |
169 |
val rel = fold_rev Term.abs Qs' |
|
170 |
(Term.list_comb (mk_rel_of_bnf oDs CAs CBs outer, |
|
49463 | 171 |
map2 (fn Ds => (fn f => Term.list_comb (f, map Bound (ilive - 1 downto 0))) o |
49507 | 172 |
mk_rel_of_bnf Ds As Bs) Dss inners)); |
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|
173 |
|
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|
174 |
(*Union o collect {outer.set_1 ... outer.set_m} o outer.map inner_1.set_i ... inner_m.set_i*) |
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|
175 |
(*Union o collect {image inner_1.set_i o outer.set_1 ... image inner_m.set_i o outer.set_m}*) |
49303 | 176 |
fun mk_set i = |
48975
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|
177 |
let |
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|
178 |
val (setTs, T) = `(replicate olive o HOLogic.mk_setT) (nth As i); |
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changeset
|
179 |
val outer_set = mk_collect |
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parents:
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changeset
|
180 |
(mk_sets_of_bnf (replicate olive oDs) (replicate olive setTs) outer) |
7f79f94a432c
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parents:
diff
changeset
|
181 |
(mk_T_of_bnf oDs setTs outer --> HOLogic.mk_setT T); |
7f79f94a432c
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parents:
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changeset
|
182 |
val inner_sets = map (fn sets => nth sets i) inner_setss; |
7f79f94a432c
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parents:
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changeset
|
183 |
val outer_map = mk_map_of_bnf oDs CAs setTs outer; |
7f79f94a432c
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parents:
diff
changeset
|
184 |
val map_inner_sets = Term.list_comb (outer_map, inner_sets); |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
185 |
val collect_image = mk_collect |
7f79f94a432c
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parents:
diff
changeset
|
186 |
(map2 (fn f => fn set => HOLogic.mk_comp (mk_image f, set)) inner_sets outer_sets) |
7f79f94a432c
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parents:
diff
changeset
|
187 |
(CCA --> HOLogic.mk_setT T); |
7f79f94a432c
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parents:
diff
changeset
|
188 |
in |
7f79f94a432c
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parents:
diff
changeset
|
189 |
(Library.foldl1 HOLogic.mk_comp [mk_Union T, outer_set, map_inner_sets], |
7f79f94a432c
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parents:
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changeset
|
190 |
HOLogic.mk_comp (mk_Union T, collect_image)) |
7f79f94a432c
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|
191 |
end; |
7f79f94a432c
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parents:
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|
192 |
|
49303 | 193 |
val (sets, sets_alt) = map_split mk_set (0 upto ilive - 1); |
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changeset
|
194 |
|
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parents:
diff
changeset
|
195 |
(*(inner_1.bd +c ... +c inner_m.bd) *c outer.bd*) |
54421 | 196 |
val bd = mk_cprod (Library.foldr1 (uncurry mk_csum) inner_bds) outer_bd; |
48975
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blanchet
parents:
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changeset
|
197 |
|
55851
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blanchet
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changeset
|
198 |
val (bd', bd_ordIso_natLeq_thm_opt) = |
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changeset
|
199 |
if is_sum_prod_natLeq bd then |
3d40cf74726c
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blanchet
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changeset
|
200 |
let |
3d40cf74726c
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blanchet
parents:
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diff
changeset
|
201 |
val bd' = @{term natLeq}; |
3d40cf74726c
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blanchet
parents:
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diff
changeset
|
202 |
val bd_bd' = HOLogic.mk_prod (bd, bd'); |
3d40cf74726c
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blanchet
parents:
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diff
changeset
|
203 |
val ordIso = Const (@{const_name ordIso}, HOLogic.mk_setT (fastype_of bd_bd')); |
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blanchet
parents:
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diff
changeset
|
204 |
val goal = HOLogic.mk_Trueprop (HOLogic.mk_mem (bd_bd', ordIso)); |
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blanchet
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diff
changeset
|
205 |
in |
3d40cf74726c
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blanchet
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diff
changeset
|
206 |
(bd', SOME (Goal.prove_sorry lthy [] [] goal (K bd_ordIso_natLeq_tac) |
3d40cf74726c
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parents:
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diff
changeset
|
207 |
|> Thm.close_derivation)) |
3d40cf74726c
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blanchet
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diff
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|
208 |
end |
3d40cf74726c
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blanchet
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diff
changeset
|
209 |
else |
3d40cf74726c
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blanchet
parents:
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diff
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|
210 |
(bd, NONE); |
3d40cf74726c
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blanchet
parents:
55803
diff
changeset
|
211 |
|
53270 | 212 |
fun map_id0_tac _ = |
213 |
mk_comp_map_id0_tac (map_id0_of_bnf outer) (map_cong0_of_bnf outer) |
|
214 |
(map map_id0_of_bnf inners); |
|
48975
7f79f94a432c
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blanchet
parents:
diff
changeset
|
215 |
|
53287 | 216 |
fun map_comp0_tac _ = |
217 |
mk_comp_map_comp0_tac (map_comp0_of_bnf outer) (map_cong0_of_bnf outer) |
|
218 |
(map map_comp0_of_bnf inners); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
219 |
|
53289 | 220 |
fun mk_single_set_map0_tac i _ = |
221 |
mk_comp_set_map0_tac (map_comp0_of_bnf outer) (map_cong0_of_bnf outer) |
|
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
222 |
(collect_set_map_of_bnf outer) |
53289 | 223 |
(map ((fn thms => nth thms i) o set_map0_of_bnf) inners); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
224 |
|
53289 | 225 |
val set_map0_tacs = map mk_single_set_map0_tac (0 upto ilive - 1); |
48975
7f79f94a432c
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blanchet
parents:
diff
changeset
|
226 |
|
49303 | 227 |
fun bd_card_order_tac _ = |
48975
7f79f94a432c
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blanchet
parents:
diff
changeset
|
228 |
mk_comp_bd_card_order_tac (map bd_card_order_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
|
229 |
|
49303 | 230 |
fun bd_cinfinite_tac _ = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
231 |
mk_comp_bd_cinfinite_tac (bd_cinfinite_of_bnf inner) (bd_cinfinite_of_bnf outer); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
232 |
|
49303 | 233 |
val set_alt_thms = |
52059 | 234 |
if Config.get lthy quick_and_dirty then |
49456 | 235 |
[] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
236 |
else |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49019
diff
changeset
|
237 |
map (fn goal => |
51551 | 238 |
Goal.prove_sorry lthy [] [] goal |
49714 | 239 |
(fn {context = ctxt, prems = _} => |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
240 |
mk_comp_set_alt_tac ctxt (collect_set_map_of_bnf outer)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49019
diff
changeset
|
241 |
|> Thm.close_derivation) |
49303 | 242 |
(map2 (curry (HOLogic.mk_Trueprop o HOLogic.mk_eq)) sets sets_alt); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
243 |
|
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
244 |
fun map_cong0_tac _ = |
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
245 |
mk_comp_map_cong0_tac set_alt_thms (map_cong0_of_bnf outer) (map map_cong0_of_bnf inners); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
246 |
|
49303 | 247 |
val set_bd_tacs = |
52059 | 248 |
if Config.get lthy quick_and_dirty then |
49669 | 249 |
replicate ilive (K all_tac) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
250 |
else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
251 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
252 |
val outer_set_bds = set_bd_of_bnf outer; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
253 |
val inner_set_bdss = map set_bd_of_bnf inners; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
254 |
val inner_bd_Card_orders = map bd_Card_order_of_bnf inners; |
49303 | 255 |
fun single_set_bd_thm i j = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
256 |
@{thm comp_single_set_bd} OF [nth inner_bd_Card_orders j, nth (nth inner_set_bdss j) i, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
257 |
nth outer_set_bds j] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
258 |
val single_set_bd_thmss = |
49303 | 259 |
map ((fn f => map f (0 upto olive - 1)) o single_set_bd_thm) (0 upto ilive - 1); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
260 |
in |
55197 | 261 |
map2 (fn set_alt => fn single_set_bds => fn ctxt => |
55851
3d40cf74726c
optimize cardinal bounds involving natLeq (omega)
blanchet
parents:
55803
diff
changeset
|
262 |
mk_comp_set_bd_tac ctxt bd_ordIso_natLeq_thm_opt set_alt single_set_bds) |
49303 | 263 |
set_alt_thms single_set_bd_thmss |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
264 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
265 |
|
49303 | 266 |
val in_alt_thm = |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
267 |
let |
49303 | 268 |
val inx = mk_in Asets sets CCA; |
269 |
val in_alt = mk_in (map2 (mk_in Asets) inner_setss CAs) outer_sets CCA; |
|
270 |
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
|
271 |
in |
51551 | 272 |
Goal.prove_sorry lthy [] [] goal |
49714 | 273 |
(fn {context = ctxt, prems = _} => mk_comp_in_alt_tac ctxt set_alt_thms) |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
274 |
|> Thm.close_derivation |
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
275 |
end; |
48975
7f79f94a432c
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|
276 |
|
54841
af71b753c459
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|
277 |
fun le_rel_OO_tac _ = mk_le_rel_OO_tac (le_rel_OO_of_bnf outer) (rel_mono_of_bnf outer) |
af71b753c459
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|
278 |
(map le_rel_OO_of_bnf inners); |
48975
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blanchet
parents:
diff
changeset
|
279 |
|
51893
596baae88a88
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traytel
parents:
51837
diff
changeset
|
280 |
fun rel_OO_Grp_tac _ = |
49456 | 281 |
let |
51893
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parents:
51837
diff
changeset
|
282 |
val outer_rel_Grp = rel_Grp_of_bnf outer RS sym; |
596baae88a88
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traytel
parents:
51837
diff
changeset
|
283 |
val outer_rel_cong = rel_cong_of_bnf outer; |
49463 | 284 |
val thm = |
51893
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parents:
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diff
changeset
|
285 |
(trans OF [in_alt_thm RS @{thm OO_Grp_cong}, |
596baae88a88
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traytel
parents:
51837
diff
changeset
|
286 |
trans OF [@{thm arg_cong2[of _ _ _ _ relcompp]} OF |
596baae88a88
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traytel
parents:
51837
diff
changeset
|
287 |
[trans OF [outer_rel_Grp RS @{thm arg_cong[of _ _ conversep]}, |
596baae88a88
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parents:
51837
diff
changeset
|
288 |
rel_conversep_of_bnf outer RS sym], outer_rel_Grp], |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
289 |
trans OF [rel_OO_of_bnf outer RS sym, outer_rel_cong OF |
596baae88a88
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parents:
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changeset
|
290 |
(map (fn bnf => rel_OO_Grp_of_bnf bnf RS sym) inners)]]] RS sym) |
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parents:
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diff
changeset
|
291 |
(*|> unfold_thms lthy (rel_def_of_bnf outer :: map rel_def_of_bnf inners)*); |
49456 | 292 |
in |
51893
596baae88a88
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parents:
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diff
changeset
|
293 |
rtac thm 1 |
49463 | 294 |
end; |
49456 | 295 |
|
53289 | 296 |
val tacs = zip_axioms map_id0_tac map_comp0_tac map_cong0_tac set_map0_tacs bd_card_order_tac |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54742
diff
changeset
|
297 |
bd_cinfinite_tac set_bd_tacs le_rel_OO_tac rel_OO_Grp_tac; |
48975
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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 outer_wits = mk_wits_of_bnf (replicate onwits oDs) (replicate onwits CAs) outer; |
7f79f94a432c
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parents:
diff
changeset
|
300 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
301 |
val inner_witss = map (map (fn (I, wit) => Term.list_comb (wit, map (nth xs) I))) |
7f79f94a432c
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parents:
diff
changeset
|
302 |
(map3 (fn Ds => fn n => mk_wits_of_bnf (replicate n Ds) (replicate n As)) |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
303 |
Dss inwitss inners); |
7f79f94a432c
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parents:
diff
changeset
|
304 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
305 |
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
|
306 |
|
49303 | 307 |
val wits = (inner_witsss, (map (single o snd) outer_wits)) |
48975
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blanchet
parents:
diff
changeset
|
308 |
|-> map2 (fold (map_product (fn iwit => fn owit => owit $ iwit))) |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
309 |
|> flat |
7f79f94a432c
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parents:
diff
changeset
|
310 |
|> map (`(fn t => Term.add_frees t [])) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
311 |
|> minimize_wits |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
312 |
|> 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
|
313 |
|
55197 | 314 |
fun wit_tac ctxt = |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
315 |
mk_comp_wit_tac ctxt (wit_thms_of_bnf outer) (collect_set_map_of_bnf outer) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
316 |
(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
|
317 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
318 |
val (bnf', lthy') = |
51758 | 319 |
bnf_def const_policy (K Dont_Note) qualify tacs wit_tac (SOME (oDs @ flat Dss)) Binding.empty |
55851
3d40cf74726c
optimize cardinal bounds involving natLeq (omega)
blanchet
parents:
55803
diff
changeset
|
320 |
Binding.empty [] ((((((b, CCA), 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
|
321 |
in |
49503 | 322 |
(bnf', (add_bnf_to_unfolds bnf' unfold_set, lthy')) |
48975
7f79f94a432c
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blanchet
parents:
diff
changeset
|
323 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
324 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
325 |
(* Killing live variables *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
326 |
|
55904 | 327 |
fun raw_kill_bnf qualify n bnf (accum as (unfold_set, lthy)) = |
328 |
if n = 0 then (bnf, accum) else |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
329 |
let |
49425 | 330 |
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
|
331 |
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
|
332 |
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
|
333 |
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
|
334 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
335 |
(* TODO: check 0 < n <= live *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
336 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
337 |
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
|
338 |
(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
|
339 |
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
|
340 |
(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
|
341 |
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
|
342 |
(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
|
343 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
344 |
val ((Asets, lives), _(*names_lthy*)) = lthy |
49456 | 345 |
|> 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
|
346 |
||>> 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
|
347 |
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
|
348 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
349 |
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
|
350 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
351 |
(*bnf.map id ... id*) |
49303 | 352 |
val mapx = Term.list_comb (mk_map_of_bnf Ds As Bs bnf, map HOLogic.id_const killedAs); |
49507 | 353 |
(*bnf.rel (op =) ... (op =)*) |
354 |
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
|
355 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
356 |
val bnf_sets = mk_sets_of_bnf (replicate live Ds) (replicate live As) bnf; |
49303 | 357 |
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
|
358 |
|
55707
50cf04dd2584
clarified interaction with dead variables in the composition of BNFs
traytel
parents:
55706
diff
changeset
|
359 |
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
|
360 |
|
53270 | 361 |
fun map_id0_tac _ = rtac (map_id0_of_bnf bnf) 1; |
55197 | 362 |
fun map_comp0_tac ctxt = |
55067 | 363 |
unfold_thms_tac ctxt ((map_comp0_of_bnf bnf RS sym) :: |
364 |
@{thms comp_assoc id_comp comp_id}) THEN rtac refl 1; |
|
55197 | 365 |
fun map_cong0_tac ctxt = |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
366 |
mk_kill_map_cong0_tac ctxt n (live - n) (map_cong0_of_bnf bnf); |
53289 | 367 |
val set_map0_tacs = map (fn thm => fn _ => rtac thm 1) (drop n (set_map0_of_bnf bnf)); |
55707
50cf04dd2584
clarified interaction with dead variables in the composition of BNFs
traytel
parents:
55706
diff
changeset
|
368 |
fun bd_card_order_tac _ = rtac (bd_card_order_of_bnf bnf) 1; |
50cf04dd2584
clarified interaction with dead variables in the composition of BNFs
traytel
parents:
55706
diff
changeset
|
369 |
fun bd_cinfinite_tac _ = rtac (bd_cinfinite_of_bnf bnf) 1; |
50cf04dd2584
clarified interaction with dead variables in the composition of BNFs
traytel
parents:
55706
diff
changeset
|
370 |
val set_bd_tacs = map (fn thm => fn _ => rtac thm 1) (drop n (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
|
371 |
|
49303 | 372 |
val in_alt_thm = |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
373 |
let |
49303 | 374 |
val inx = mk_in Asets sets T; |
375 |
val in_alt = mk_in (map HOLogic.mk_UNIV killedAs @ Asets) bnf_sets T; |
|
376 |
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
|
377 |
in |
51551 | 378 |
Goal.prove_sorry 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
|
379 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
380 |
|
55197 | 381 |
fun le_rel_OO_tac ctxt = |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54742
diff
changeset
|
382 |
EVERY' [rtac @{thm ord_le_eq_trans}, rtac (le_rel_OO_of_bnf bnf)] 1 THEN |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54742
diff
changeset
|
383 |
unfold_thms_tac ctxt @{thms eq_OO} THEN rtac refl 1; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
384 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
385 |
fun rel_OO_Grp_tac _ = |
49456 | 386 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
387 |
val rel_Grp = rel_Grp_of_bnf bnf RS sym |
49463 | 388 |
val thm = |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
389 |
(trans OF [in_alt_thm RS @{thm OO_Grp_cong}, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
390 |
trans OF [@{thm arg_cong2[of _ _ _ _ relcompp]} OF |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
391 |
[trans OF [rel_Grp RS @{thm arg_cong[of _ _ conversep]}, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
392 |
rel_conversep_of_bnf bnf RS sym], rel_Grp], |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
393 |
trans OF [rel_OO_of_bnf bnf RS sym, rel_cong_of_bnf bnf OF |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
394 |
(replicate n @{thm trans[OF Grp_UNIV_id[OF refl] eq_alt[symmetric]]} @ |
52660 | 395 |
replicate (live - n) @{thm Grp_fst_snd})]]] RS sym); |
49456 | 396 |
in |
49463 | 397 |
rtac thm 1 |
49456 | 398 |
end; |
399 |
||
53289 | 400 |
val tacs = zip_axioms map_id0_tac map_comp0_tac map_cong0_tac set_map0_tacs bd_card_order_tac |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54742
diff
changeset
|
401 |
bd_cinfinite_tac set_bd_tacs le_rel_OO_tac rel_OO_Grp_tac; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
402 |
|
49303 | 403 |
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
|
404 |
|
49303 | 405 |
val wits = map (fn t => fold absfree (Term.add_frees t []) t) |
406 |
(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
|
407 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
408 |
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
|
409 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
410 |
val (bnf', lthy') = |
51758 | 411 |
bnf_def Smart_Inline (K Dont_Note) qualify tacs wit_tac (SOME (killedAs @ Ds)) Binding.empty |
54421 | 412 |
Binding.empty [] ((((((b, T), 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
|
413 |
in |
49503 | 414 |
(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
|
415 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
416 |
|
55904 | 417 |
fun kill_bnf qualify n bnf (accum as ((cache, unfold_set), lthy)) = |
418 |
let val key = key_of_kill n bnf in |
|
419 |
(case Typtab.lookup cache key of |
|
420 |
SOME (bnf, _) => (bnf, accum) |
|
421 |
| NONE => cache_comp_simple key cache (raw_kill_bnf qualify n bnf (unfold_set, lthy))) |
|
422 |
end; |
|
423 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
424 |
(* Adding dummy live variables *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
425 |
|
55904 | 426 |
fun raw_lift_bnf qualify n bnf (accum as (unfold_set, lthy)) = |
427 |
if n = 0 then (bnf, accum) else |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
428 |
let |
49425 | 429 |
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
|
430 |
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
|
431 |
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
|
432 |
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
|
433 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
434 |
(* TODO: check 0 < n *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
435 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
436 |
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
|
437 |
(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
|
438 |
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
|
439 |
(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
|
440 |
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
|
441 |
(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
|
442 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
443 |
val (Asets, _(*names_lthy*)) = lthy |
49456 | 444 |
|> 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
|
445 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
446 |
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
|
447 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
448 |
(*%f1 ... fn. bnf.map*) |
49303 | 449 |
val mapx = |
52923 | 450 |
fold_rev Term.absdummy (map2 (curry op -->) newAs newBs) (mk_map_of_bnf Ds As Bs bnf); |
49507 | 451 |
(*%Q1 ... Qn. bnf.rel*) |
452 |
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
|
453 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
454 |
val bnf_sets = mk_sets_of_bnf (replicate live Ds) (replicate live As) bnf; |
49303 | 455 |
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
|
456 |
|
49303 | 457 |
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
|
458 |
|
53270 | 459 |
fun map_id0_tac _ = rtac (map_id0_of_bnf bnf) 1; |
55197 | 460 |
fun map_comp0_tac ctxt = |
55067 | 461 |
unfold_thms_tac ctxt ((map_comp0_of_bnf bnf RS sym) :: |
462 |
@{thms comp_assoc id_comp comp_id}) THEN rtac refl 1; |
|
55197 | 463 |
fun map_cong0_tac ctxt = |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
464 |
rtac (map_cong0_of_bnf bnf) 1 THEN REPEAT_DETERM_N live (Goal.assume_rule_tac ctxt 1); |
53289 | 465 |
val set_map0_tacs = |
52059 | 466 |
if Config.get lthy quick_and_dirty then |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
467 |
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
|
468 |
else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
469 |
replicate n (K empty_natural_tac) @ |
53289 | 470 |
map (fn thm => fn _ => rtac thm 1) (set_map0_of_bnf bnf); |
49303 | 471 |
fun bd_card_order_tac _ = rtac (bd_card_order_of_bnf bnf) 1; |
472 |
fun bd_cinfinite_tac _ = rtac (bd_cinfinite_of_bnf bnf) 1; |
|
473 |
val set_bd_tacs = |
|
52059 | 474 |
if Config.get lthy quick_and_dirty then |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
475 |
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
|
476 |
else |
49304 | 477 |
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
|
478 |
(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
|
479 |
|
49303 | 480 |
val in_alt_thm = |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
481 |
let |
49303 | 482 |
val inx = mk_in Asets sets T; |
483 |
val in_alt = mk_in (drop n Asets) bnf_sets T; |
|
484 |
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
|
485 |
in |
51551 | 486 |
Goal.prove_sorry 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
|
487 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
488 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54742
diff
changeset
|
489 |
fun le_rel_OO_tac _ = rtac (le_rel_OO_of_bnf bnf) 1; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
490 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
491 |
fun rel_OO_Grp_tac _ = mk_simple_rel_OO_Grp_tac (rel_OO_Grp_of_bnf bnf) in_alt_thm; |
49456 | 492 |
|
53289 | 493 |
val tacs = zip_axioms map_id0_tac map_comp0_tac map_cong0_tac set_map0_tacs bd_card_order_tac |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54742
diff
changeset
|
494 |
bd_cinfinite_tac set_bd_tacs le_rel_OO_tac rel_OO_Grp_tac; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
495 |
|
49303 | 496 |
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
|
497 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
498 |
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
|
499 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
500 |
val (bnf', lthy') = |
51767
bbcdd8519253
honor user-specified name for relator + generalize syntax
blanchet
parents:
51766
diff
changeset
|
501 |
bnf_def Smart_Inline (K Dont_Note) qualify tacs wit_tac (SOME Ds) Binding.empty Binding.empty |
54421 | 502 |
[] ((((((b, T), 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
|
503 |
in |
49503 | 504 |
(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
|
505 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
506 |
|
55904 | 507 |
fun lift_bnf qualify n bnf (accum as ((cache, unfold_set), lthy)) = |
508 |
let val key = key_of_lift n bnf in |
|
509 |
(case Typtab.lookup cache key of |
|
510 |
SOME (bnf, _) => (bnf, accum) |
|
511 |
| NONE => cache_comp_simple key cache (raw_lift_bnf qualify n bnf (unfold_set, lthy))) |
|
512 |
end; |
|
513 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
514 |
(* 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
|
515 |
|
55904 | 516 |
fun raw_permute_bnf qualify src dest bnf (accum as (unfold_set, lthy)) = |
517 |
if src = dest then (bnf, accum) else |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
518 |
let |
49425 | 519 |
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
|
520 |
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
|
521 |
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
|
522 |
val nwits = nwits_of_bnf bnf; |
55480
59cc4a8bc28a
allow different functions to recurse on the same type, like in the old package
blanchet
parents:
55197
diff
changeset
|
523 |
|
59cc4a8bc28a
allow different functions to recurse on the same type, like in the old package
blanchet
parents:
55197
diff
changeset
|
524 |
fun permute xs = permute_like_unique (op =) src dest xs; |
59cc4a8bc28a
allow different functions to recurse on the same type, like in the old package
blanchet
parents:
55197
diff
changeset
|
525 |
fun unpermute xs = permute_like_unique (op =) dest src xs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
526 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
527 |
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
|
528 |
(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
|
529 |
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
|
530 |
(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
|
531 |
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
|
532 |
(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
|
533 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
534 |
val (Asets, _(*names_lthy*)) = lthy |
49456 | 535 |
|> 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
|
536 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
537 |
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
|
538 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
539 |
(*%f(1) ... f(n). bnf.map f\<sigma>(1) ... f\<sigma>(n)*) |
49303 | 540 |
val mapx = fold_rev Term.absdummy (permute (map2 (curry op -->) As Bs)) |
53038 | 541 |
(Term.list_comb (mk_map_of_bnf Ds As Bs bnf, unpermute (map Bound (live - 1 downto 0)))); |
49507 | 542 |
(*%Q(1) ... Q(n). bnf.rel Q\<sigma>(1) ... Q\<sigma>(n)*) |
543 |
val rel = fold_rev Term.absdummy (permute (map2 mk_pred2T As Bs)) |
|
53038 | 544 |
(Term.list_comb (mk_rel_of_bnf Ds As Bs bnf, unpermute (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
|
545 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
546 |
val bnf_sets = mk_sets_of_bnf (replicate live Ds) (replicate live As) bnf; |
49303 | 547 |
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
|
548 |
|
49303 | 549 |
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
|
550 |
|
53270 | 551 |
fun map_id0_tac _ = rtac (map_id0_of_bnf bnf) 1; |
53287 | 552 |
fun map_comp0_tac _ = rtac (map_comp0_of_bnf bnf) 1; |
55197 | 553 |
fun map_cong0_tac ctxt = |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
554 |
rtac (map_cong0_of_bnf bnf) 1 THEN REPEAT_DETERM_N live (Goal.assume_rule_tac ctxt 1); |
53289 | 555 |
val set_map0_tacs = permute (map (fn thm => fn _ => rtac thm 1) (set_map0_of_bnf bnf)); |
49303 | 556 |
fun bd_card_order_tac _ = rtac (bd_card_order_of_bnf bnf) 1; |
557 |
fun bd_cinfinite_tac _ = rtac (bd_cinfinite_of_bnf bnf) 1; |
|
558 |
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
|
559 |
|
49303 | 560 |
val in_alt_thm = |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
561 |
let |
49303 | 562 |
val inx = mk_in Asets sets T; |
53038 | 563 |
val in_alt = mk_in (unpermute Asets) bnf_sets T; |
49303 | 564 |
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
|
565 |
in |
51551 | 566 |
Goal.prove_sorry lthy [] [] goal (K (mk_permute_in_alt_tac src dest)) |
49155
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
567 |
|> Thm.close_derivation |
f51ab68f882f
do not trivialize important internal theorem in quick_and_dirty mode
traytel
parents:
49123
diff
changeset
|
568 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
569 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54742
diff
changeset
|
570 |
fun le_rel_OO_tac _ = rtac (le_rel_OO_of_bnf bnf) 1; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
571 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51837
diff
changeset
|
572 |
fun rel_OO_Grp_tac _ = mk_simple_rel_OO_Grp_tac (rel_OO_Grp_of_bnf bnf) in_alt_thm; |
49456 | 573 |
|
53289 | 574 |
val tacs = zip_axioms map_id0_tac map_comp0_tac map_cong0_tac set_map0_tacs bd_card_order_tac |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54742
diff
changeset
|
575 |
bd_cinfinite_tac set_bd_tacs le_rel_OO_tac rel_OO_Grp_tac; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
576 |
|
49303 | 577 |
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
|
578 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
579 |
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
|
580 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
581 |
val (bnf', lthy') = |
51767
bbcdd8519253
honor user-specified name for relator + generalize syntax
blanchet
parents:
51766
diff
changeset
|
582 |
bnf_def Smart_Inline (K Dont_Note) qualify tacs wit_tac (SOME Ds) Binding.empty Binding.empty |
54421 | 583 |
[] ((((((b, T), 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
|
584 |
in |
49503 | 585 |
(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
|
586 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
587 |
|
55904 | 588 |
fun permute_bnf qualify src dest bnf (accum as ((cache, unfold_set), lthy)) = |
589 |
let val key = key_of_permute src dest bnf in |
|
590 |
(case Typtab.lookup cache key of |
|
591 |
SOME (bnf, _) => (bnf, accum) |
|
592 |
| NONE => cache_comp_simple key cache (raw_permute_bnf qualify src dest bnf (unfold_set, lthy))) |
|
593 |
end; |
|
594 |
||
49014 | 595 |
(* Composition pipeline *) |
596 |
||
597 |
fun permute_and_kill qualify n src dest bnf = |
|
55703
a21069381ba5
optimization of 'bnf_of_typ' if all variables are dead
blanchet
parents:
55480
diff
changeset
|
598 |
permute_bnf qualify src dest bnf |
49304 | 599 |
#> uncurry (kill_bnf qualify n); |
49014 | 600 |
|
601 |
fun lift_and_permute qualify n src dest bnf = |
|
55703
a21069381ba5
optimization of 'bnf_of_typ' if all variables are dead
blanchet
parents:
55480
diff
changeset
|
602 |
lift_bnf qualify n bnf |
49014 | 603 |
#> uncurry (permute_bnf qualify src dest); |
604 |
||
55904 | 605 |
fun normalize_bnfs qualify Ass Ds sort bnfs accum = |
49014 | 606 |
let |
607 |
val before_kill_src = map (fn As => 0 upto (length As - 1)) Ass; |
|
52985 | 608 |
val kill_poss = map (find_indices op = Ds) Ass; |
609 |
val live_poss = map2 (subtract op =) kill_poss before_kill_src; |
|
49014 | 610 |
val before_kill_dest = map2 append kill_poss live_poss; |
611 |
val kill_ns = map length kill_poss; |
|
55904 | 612 |
val (inners', accum') = |
49014 | 613 |
fold_map5 (fn i => permute_and_kill (qualify i)) |
614 |
(if length bnfs = 1 then [0] else (1 upto length bnfs)) |
|
55904 | 615 |
kill_ns before_kill_src before_kill_dest bnfs accum; |
49014 | 616 |
|
617 |
val Ass' = map2 (map o nth) Ass live_poss; |
|
618 |
val As = sort Ass'; |
|
619 |
val after_lift_dest = replicate (length Ass') (0 upto (length As - 1)); |
|
620 |
val old_poss = map (map (fn x => find_index (fn y => x = y) As)) Ass'; |
|
52985 | 621 |
val new_poss = map2 (subtract op =) old_poss after_lift_dest; |
49014 | 622 |
val after_lift_src = map2 append new_poss old_poss; |
623 |
val lift_ns = map (fn xs => length As - length xs) Ass'; |
|
624 |
in |
|
625 |
((kill_poss, As), fold_map5 (fn i => lift_and_permute (qualify i)) |
|
55703
a21069381ba5
optimization of 'bnf_of_typ' if all variables are dead
blanchet
parents:
55480
diff
changeset
|
626 |
(if length bnfs = 1 then [0] else 1 upto length bnfs) |
55904 | 627 |
lift_ns after_lift_src after_lift_dest inners' accum') |
49014 | 628 |
end; |
629 |
||
630 |
fun default_comp_sort Ass = |
|
631 |
Library.sort (Term_Ord.typ_ord o pairself TFree) (fold (fold (insert (op =))) Ass []); |
|
632 |
||
55904 | 633 |
fun raw_compose_bnf const_policy qualify sort outer inners oDs Dss tfreess accum = |
49014 | 634 |
let |
49425 | 635 |
val b = name_of_bnf outer; |
49014 | 636 |
|
49121 | 637 |
val Ass = map (map Term.dest_TFree) tfreess; |
49014 | 638 |
val Ds = fold (fold Term.add_tfreesT) (oDs :: Dss) []; |
639 |
||
55904 | 640 |
val ((kill_poss, As), (inners', ((cache', unfold_set'), lthy'))) = |
641 |
normalize_bnfs qualify Ass Ds sort inners accum; |
|
49014 | 642 |
|
643 |
val Ds = oDs @ flat (map3 (append oo map o nth) tfreess kill_poss Dss); |
|
644 |
val As = map TFree As; |
|
645 |
in |
|
49425 | 646 |
apfst (rpair (Ds, As)) |
55904 | 647 |
(apsnd (apfst (pair cache')) |
648 |
(clean_compose_bnf const_policy (qualify 0) b outer inners' (unfold_set', lthy'))) |
|
649 |
end; |
|
650 |
||
651 |
fun compose_bnf const_policy qualify sort outer inners oDs Dss tfreess (accum as ((cache, _), _)) = |
|
652 |
let val key = key_of_compose oDs Dss tfreess outer inners in |
|
653 |
(case Typtab.lookup cache key of |
|
654 |
SOME bnf_Ds_As => (bnf_Ds_As, accum) |
|
655 |
| NONE => |
|
656 |
cache_comp key (raw_compose_bnf const_policy qualify sort outer inners oDs Dss tfreess accum)) |
|
49014 | 657 |
end; |
658 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
659 |
(* 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
|
660 |
|
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
661 |
type absT_info = |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
662 |
{absT: typ, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
663 |
repT: typ, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
664 |
abs: term, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
665 |
rep: term, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
666 |
abs_inject: thm, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
667 |
abs_inverse: thm, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
668 |
type_definition: thm}; |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
669 |
|
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
670 |
fun morph_absT_info phi |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
671 |
{absT, repT, abs, rep, abs_inject, abs_inverse, type_definition} = |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
672 |
{absT = Morphism.typ phi absT, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
673 |
repT = Morphism.typ phi repT, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
674 |
abs = Morphism.term phi abs, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
675 |
rep = Morphism.term phi rep, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
676 |
abs_inject = Morphism.thm phi abs_inject, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
677 |
abs_inverse = Morphism.thm phi abs_inverse, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
678 |
type_definition = Morphism.thm phi type_definition}; |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
679 |
|
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
680 |
fun mk_absT thy repT absT repU = |
55900
21aa30ea6806
propagate the exception that is expected later on
traytel
parents:
55856
diff
changeset
|
681 |
let |
21aa30ea6806
propagate the exception that is expected later on
traytel
parents:
55856
diff
changeset
|
682 |
val rho = Vartab.fold (cons o apsnd snd) (Sign.typ_match thy (repT, repU) Vartab.empty) []; |
21aa30ea6806
propagate the exception that is expected later on
traytel
parents:
55856
diff
changeset
|
683 |
in Term.typ_subst_TVars rho absT end |
21aa30ea6806
propagate the exception that is expected later on
traytel
parents:
55856
diff
changeset
|
684 |
handle Type.TYPE_MATCH => raise Term.TYPE ("mk_absT", [repT, absT, repU], []); |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
685 |
|
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
686 |
fun mk_repT absT repT absU = |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
687 |
if absT = repT then absU |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
688 |
else |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
689 |
(case (absT, absU) of |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
690 |
(Type (C, Ts), Type (C', Us)) => |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
691 |
if C = C' then Term.typ_subst_atomic (Ts ~~ Us) repT |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
692 |
else raise Term.TYPE ("mk_repT", [absT, repT, absT], []) |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
693 |
| _ => raise Term.TYPE ("mk_repT", [absT, repT, absT], [])); |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
694 |
|
55855
98ad5680173a
use same identity function for abs and rep (doesn't seem to confuse any proofs)
blanchet
parents:
55854
diff
changeset
|
695 |
fun mk_abs_or_rep _ absU (Const (@{const_name id_bnf_comp}, _)) = |
98ad5680173a
use same identity function for abs and rep (doesn't seem to confuse any proofs)
blanchet
parents:
55854
diff
changeset
|
696 |
Const (@{const_name id_bnf_comp}, absU --> absU) |
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
697 |
| mk_abs_or_rep getT (Type (_, Us)) abs = |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
698 |
let val Ts = snd (dest_Type (getT (fastype_of abs))) |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
699 |
in Term.subst_atomic_types (Ts ~~ Us) abs end; |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
700 |
|
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
701 |
val mk_abs = mk_abs_or_rep range_type; |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
702 |
val mk_rep = mk_abs_or_rep domain_type; |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
703 |
|
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
704 |
val smart_max_inline_type_size = 5; (*FUDGE*) |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
705 |
|
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
706 |
fun maybe_typedef (b, As, mx) set opt_morphs tac = |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
707 |
let |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
708 |
val repT = HOLogic.dest_setT (fastype_of set); |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
709 |
val inline = Term.size_of_typ repT <= smart_max_inline_type_size; |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
710 |
in |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
711 |
if inline then |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
712 |
pair (repT, |
55855
98ad5680173a
use same identity function for abs and rep (doesn't seem to confuse any proofs)
blanchet
parents:
55854
diff
changeset
|
713 |
(@{const_name id_bnf_comp}, @{const_name id_bnf_comp}, |
98ad5680173a
use same identity function for abs and rep (doesn't seem to confuse any proofs)
blanchet
parents:
55854
diff
changeset
|
714 |
@{thm type_definition_id_bnf_comp_UNIV}, |
98ad5680173a
use same identity function for abs and rep (doesn't seem to confuse any proofs)
blanchet
parents:
55854
diff
changeset
|
715 |
@{thm type_definition.Abs_inverse[OF type_definition_id_bnf_comp_UNIV]}, |
98ad5680173a
use same identity function for abs and rep (doesn't seem to confuse any proofs)
blanchet
parents:
55854
diff
changeset
|
716 |
@{thm type_definition.Abs_inject[OF type_definition_id_bnf_comp_UNIV]})) |
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
717 |
else |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
718 |
typedef (b, As, mx) set opt_morphs tac |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
719 |
#>> (fn (T_name, ({Rep_name, Abs_name, ...}, |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
720 |
{type_definition, Abs_inverse, Abs_inject, ...}) : Typedef.info) => |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
721 |
(Type (T_name, map TFree As), (Rep_name, Abs_name, type_definition, Abs_inverse, Abs_inject))) |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
722 |
end; |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
723 |
|
53264 | 724 |
fun seal_bnf qualify (unfold_set : 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
|
725 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
726 |
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
|
727 |
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
|
728 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
729 |
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
|
730 |
(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
|
731 |
val (Bs, _) = apfst (map TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
732 |
(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
|
733 |
|
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
734 |
val (((fs, fs'), (Rs, Rs')), _(*names_lthy*)) = lthy |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
735 |
|> mk_Frees' "f" (map2 (curry op -->) As Bs) |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
736 |
||>> mk_Frees' "R" (map2 mk_pred2T As Bs) |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
737 |
|
49713
3d07ddf70f8b
do not expose details of internal data structures for composition of BNFs
traytel
parents:
49669
diff
changeset
|
738 |
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
|
739 |
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
|
740 |
val rel_unfolds = #rel_unfolds unfold_set; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
741 |
|
49507 | 742 |
val expand_maps = |
743 |
fold expand_term_const (map (single o Logic.dest_equals o Thm.prop_of) map_unfolds); |
|
744 |
val expand_sets = |
|
745 |
fold expand_term_const (map (map (Logic.dest_equals o Thm.prop_of)) set_unfoldss); |
|
746 |
val expand_rels = |
|
747 |
fold expand_term_const (map (single o Logic.dest_equals o Thm.prop_of) rel_unfolds); |
|
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
54421
diff
changeset
|
748 |
fun unfold_maps ctxt = fold (unfold_thms ctxt o single) map_unfolds; |
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
54421
diff
changeset
|
749 |
fun unfold_sets ctxt = fold (unfold_thms ctxt) set_unfoldss; |
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
54421
diff
changeset
|
750 |
fun unfold_rels ctxt = unfold_thms ctxt rel_unfolds; |
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
54421
diff
changeset
|
751 |
fun unfold_all ctxt = unfold_sets ctxt o unfold_maps ctxt o unfold_rels ctxt; |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
752 |
|
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
753 |
val repTA = mk_T_of_bnf Ds As bnf; |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
754 |
val T_bind = qualify b; |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
755 |
val TA_params = Term.add_tfreesT repTA []; |
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
756 |
val ((TA, (Rep_name, Abs_name, type_definition, Abs_inverse, Abs_inject)), lthy) = |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
757 |
maybe_typedef (T_bind, TA_params, NoSyn) |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
758 |
(HOLogic.mk_UNIV repTA) NONE (EVERY' [rtac exI, rtac UNIV_I] 1) lthy; |
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
759 |
|
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
760 |
val repTB = mk_T_of_bnf Ds Bs bnf; |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
761 |
val TB = Term.typ_subst_atomic (As ~~ Bs) TA; |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
762 |
val RepA = Const (Rep_name, TA --> repTA); |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
763 |
val RepB = Const (Rep_name, TB --> repTB); |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
764 |
val AbsA = Const (Abs_name, repTA --> TA); |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
765 |
val AbsB = Const (Abs_name, repTB --> TB); |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
766 |
val Abs_inject' = Abs_inject OF @{thms UNIV_I UNIV_I}; |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
767 |
val Abs_inverse' = Abs_inverse OF @{thms UNIV_I}; |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
768 |
|
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
769 |
val absT_info = {absT = TA, repT = repTA, abs = AbsA, rep = RepA, abs_inject = Abs_inject', |
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
770 |
abs_inverse = Abs_inverse', type_definition = type_definition}; |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
771 |
|
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
772 |
val bnf_map = fold_rev Term.absfree fs' (HOLogic.mk_comp (HOLogic.mk_comp (AbsB, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
773 |
Term.list_comb (expand_maps (mk_map_of_bnf Ds As Bs bnf), fs)), RepA)); |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
774 |
val bnf_sets = map ((fn t => HOLogic.mk_comp (t, RepA)) o expand_maps o expand_sets) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
775 |
(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
|
776 |
val bnf_bd = mk_bd_of_bnf Ds As bnf; |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
777 |
val bnf_rel = fold_rev Term.absfree Rs' (mk_vimage2p RepA RepB $ |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
778 |
(Term.list_comb (expand_rels (mk_rel_of_bnf Ds As Bs bnf), Rs))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
779 |
|
55704
a97b9b81e195
optimized 'bnf_of_typ' further w.r.t. dead variables
blanchet
parents:
55703
diff
changeset
|
780 |
(*bd may depend only on dead type variables*) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
781 |
val bd_repT = fst (dest_relT (fastype_of bnf_bd)); |
53264 | 782 |
val bdT_bind = qualify (Binding.suffix_name ("_" ^ bdTN) b); |
55707
50cf04dd2584
clarified interaction with dead variables in the composition of BNFs
traytel
parents:
55706
diff
changeset
|
783 |
val params = Term.add_tfreesT bd_repT []; |
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49155
diff
changeset
|
784 |
val deads = map TFree params; |
55707
50cf04dd2584
clarified interaction with dead variables in the composition of BNFs
traytel
parents:
55706
diff
changeset
|
785 |
val all_deads = map TFree (fold Term.add_tfreesT Ds []); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
786 |
|
49228 | 787 |
val ((bdT_name, (bdT_glob_info, bdT_loc_info)), lthy) = |
49835 | 788 |
typedef (bdT_bind, params, NoSyn) |
49228 | 789 |
(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
|
790 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
791 |
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
|
792 |
(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
|
793 |
|
49228 | 794 |
val Abs_bdT_inj = mk_Abs_inj_thm (#Abs_inject bdT_loc_info); |
795 |
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
|
796 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
797 |
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
|
798 |
val bd_card_order = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
799 |
@{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
|
800 |
val bd_cinfinite = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
801 |
(@{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
|
802 |
|
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
803 |
fun map_id0_tac ctxt = |
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
804 |
rtac (@{thm type_copy_map_id0} OF [type_definition, unfold_maps ctxt (map_id0_of_bnf bnf)]) 1; |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
805 |
fun map_comp0_tac ctxt = |
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
806 |
rtac (@{thm type_copy_map_comp0} OF |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
807 |
[type_definition, unfold_maps ctxt (map_comp0_of_bnf bnf)]) 1; |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
808 |
fun map_cong0_tac ctxt = |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
809 |
EVERY' (rtac @{thm type_copy_map_cong0} :: rtac (unfold_all ctxt (map_cong0_of_bnf bnf)) :: |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
810 |
map (fn i => EVERY' [select_prem_tac live (dtac meta_spec) i, etac meta_mp, |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
811 |
etac (o_apply RS equalityD2 RS set_mp)]) (1 upto live)) 1; |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
812 |
fun set_map0_tac thm ctxt = |
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
813 |
rtac (@{thm type_copy_set_map0} OF [type_definition, unfold_all ctxt thm]) 1; |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
814 |
val set_bd_tacs = map (fn thm => fn ctxt => rtac (@{thm ordLeq_ordIso_trans} OF |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
815 |
[unfold_sets ctxt thm, bd_ordIso] RS @{thm type_copy_set_bd}) 1) |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
816 |
(set_bd_of_bnf bnf); |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
817 |
fun le_rel_OO_tac ctxt = |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
818 |
rtac (unfold_rels ctxt (le_rel_OO_of_bnf bnf) RS @{thm vimage2p_relcompp_mono}) 1; |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
819 |
fun rel_OO_Grp_tac ctxt = |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
820 |
(rtac (unfold_all ctxt (rel_OO_Grp_of_bnf bnf) RS @{thm vimage2p_cong} RS trans) THEN' |
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
821 |
SELECT_GOAL (unfold_thms_tac ctxt [o_apply, |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
822 |
type_definition RS @{thm type_copy_vimage2p_Grp_Rep}, |
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
823 |
type_definition RS @{thm vimage2p_relcompp_converse}]) THEN' rtac refl) 1; |
49456 | 824 |
|
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
825 |
val tacs = zip_axioms map_id0_tac map_comp0_tac map_cong0_tac |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
826 |
(map set_map0_tac (set_map0_of_bnf bnf)) (K (rtac bd_card_order 1)) (K (rtac bd_cinfinite 1)) |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
827 |
set_bd_tacs le_rel_OO_tac rel_OO_Grp_tac; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
828 |
|
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
829 |
val bnf_wits = map (fn (I, t) => |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
830 |
fold Term.absdummy (map (nth As) I) |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
831 |
(AbsA $ Term.list_comb (t, map Bound (0 upto length I - 1)))) |
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
832 |
(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
|
833 |
|
55854
ee270328a781
make 'typedef' optional, depending on size of original type
blanchet
parents:
55853
diff
changeset
|
834 |
fun wit_tac ctxt = ALLGOALS (dtac (type_definition RS @{thm type_copy_wit})) THEN |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
54421
diff
changeset
|
835 |
mk_simple_wit_tac (map (unfold_all ctxt) (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
|
836 |
|
53264 | 837 |
val (bnf', lthy') = |
55707
50cf04dd2584
clarified interaction with dead variables in the composition of BNFs
traytel
parents:
55706
diff
changeset
|
838 |
bnf_def Hardly_Inline (user_policy Dont_Note) qualify tacs wit_tac (SOME all_deads) |
53264 | 839 |
Binding.empty Binding.empty [] |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
840 |
((((((b, TA), bnf_map), bnf_sets), 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
|
841 |
in |
55803
74d3fe9031d8
joint work with blanchet: intermediate typedef for the input to fp-operations
traytel
parents:
55707
diff
changeset
|
842 |
((bnf', (all_deads, absT_info)), lthy') |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
843 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
844 |
|
53222 | 845 |
exception BAD_DEAD of typ * typ; |
846 |
||
55704
a97b9b81e195
optimized 'bnf_of_typ' further w.r.t. dead variables
blanchet
parents:
55703
diff
changeset
|
847 |
fun bnf_of_typ _ _ _ _ Ds0 (T as TFree T') accum = |
a97b9b81e195
optimized 'bnf_of_typ' further w.r.t. dead variables
blanchet
parents:
55703
diff
changeset
|
848 |
(if member (op =) Ds0 T' then (DEADID_bnf, ([T], [])) else (ID_bnf, ([], [T])), accum) |
55703
a21069381ba5
optimization of 'bnf_of_typ' if all variables are dead
blanchet
parents:
55480
diff
changeset
|
849 |
| bnf_of_typ _ _ _ _ _ (TVar _) _ = error "Unexpected schematic variable" |
55706 | 850 |
| bnf_of_typ const_policy qualify' sort Xs Ds0 (T as Type (C, Ts)) (accum as (_, lthy)) = |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
851 |
let |
53222 | 852 |
fun check_bad_dead ((_, (deads, _)), _) = |
853 |
let val Ds = fold Term.add_tfreesT deads [] in |
|
854 |
(case Library.inter (op =) Ds Xs of [] => () |
|
55705 | 855 |
| X :: _ => raise BAD_DEAD (TFree X, T)) |
53222 | 856 |
end; |
857 |
||
55704
a97b9b81e195
optimized 'bnf_of_typ' further w.r.t. dead variables
blanchet
parents:
55703
diff
changeset
|
858 |
val tfrees = subtract (op =) Ds0 (Term.add_tfreesT T []); |
a97b9b81e195
optimized 'bnf_of_typ' further w.r.t. dead variables
blanchet
parents:
55703
diff
changeset
|
859 |
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
|
860 |
in |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
861 |
(case bnf_opt of |
55704
a97b9b81e195
optimized 'bnf_of_typ' further w.r.t. dead variables
blanchet
parents:
55703
diff
changeset
|
862 |
NONE => ((DEADID_bnf, ([T], [])), accum) |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
863 |
| SOME bnf => |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
864 |
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
|
865 |
let |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
866 |
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
|
867 |
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
|
868 |
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
|
869 |
val tvars' = Term.add_tvarsT T' []; |
55904 | 870 |
val Ds_As = |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
871 |
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
|
872 |
(deads, lives); |
55904 | 873 |
in ((bnf, Ds_As), accum) end |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
874 |
else |
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
875 |
let |
49425 | 876 |
val name = Long_Name.base_name C; |
877 |
fun qualify i = |
|
878 |
let val namei = name ^ nonzero_string_of_int i; |
|
879 |
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
|
880 |
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
|
881 |
val olive = live_of_bnf bnf; |
52985 | 882 |
val oDs_pos = find_indices op = [TFree ("dead", [])] (snd (Term.dest_Type |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
883 |
(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
|
884 |
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
|
885 |
val Ts' = map (nth Ts) (subtract (op =) oDs_pos (0 upto length Ts - 1)); |
55904 | 886 |
val ((inners, (Dss, Ass)), (accum', lthy')) = |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
887 |
apfst (apsnd split_list o split_list) |
55704
a97b9b81e195
optimized 'bnf_of_typ' further w.r.t. dead variables
blanchet
parents:
55703
diff
changeset
|
888 |
(fold_map2 (fn i => bnf_of_typ Smart_Inline (qualify i) sort Xs Ds0) |
55706 | 889 |
(if length Ts' = 1 then [0] else (1 upto length Ts')) Ts' accum); |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
890 |
in |
55904 | 891 |
compose_bnf const_policy qualify sort bnf inners oDs Dss Ass (accum', lthy') |
49186
4b5fa9d5e330
handle type constructors not known to be a BNF using the DEADID BNF
traytel
parents:
49185
diff
changeset
|
892 |
end) |
53222 | 893 |
|> tap check_bad_dead |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
894 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
895 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
896 |
end; |