author  blanchet 
Tue, 02 Oct 2012 01:00:18 +0200  
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child 49683  78a3d5006cf1 
permissions  rwrr 
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(* Title: HOL/BNF/Tools/bnf_fp_def_sugar.ML 
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Author: Jasmin Blanchette, TU Muenchen 
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Copyright 2012 

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Sugared datatype and codatatype constructions. 
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*) 
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signature BNF_FP_DEF_SUGAR = 
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sig 
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val datatypes: bool > 
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(mixfix list > (string * sort) list option > binding list > typ list * typ list list > 
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BNF_Def.BNF list > local_theory > BNF_FP.fp_result * local_theory) > 
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(bool * bool) * ((((typ * sort) list * binding) * mixfix) * ((((binding * binding) * 
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(binding * typ) list) * (binding * term) list) * mixfix) list) list > 
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local_theory > local_theory 

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val parse_datatype_cmd: bool > 
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(mixfix list > (string * sort) list option > binding list > typ list * typ list list > 
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BNF_Def.BNF list > local_theory > BNF_FP.fp_result * local_theory) > 
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(local_theory > local_theory) parser 
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end; 
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structure BNF_FP_Def_Sugar : BNF_FP_DEF_SUGAR = 
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struct 
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open BNF_Util 
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open BNF_Wrap 

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open BNF_Def 
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open BNF_FP 
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open BNF_FP_Def_Sugar_Tactics 
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(* This function could produce clashes in contrived examples (e.g., "x.A", "x.x_A", "y.A") *) 
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fun quasi_unambiguous_case_names names = 

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let 

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val ps = map (`Long_Name.base_name) names; 

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val dups = Library.duplicates (op =) (map fst ps); 

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fun underscore s = 

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let val ss = space_explode Long_Name.separator s in 

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space_implode "_" (drop (length ss  2) ss) 

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end; 

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in 

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map (fn (base, full) => if member (op =) dups base then underscore full else base) ps 

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end; 

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val mp_conj = @{thm mp_conj}; 
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val simp_attrs = @{attributes [simp]}; 
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val code_simp_attrs = Code.add_default_eqn_attrib :: simp_attrs; 
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fun split_list4 xs = (map #1 xs, map #2 xs, map #3 xs, map #4 xs); 
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fun resort_tfree S (TFree (s, _)) = TFree (s, S); 
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fun typ_subst inst (T as Type (s, Ts)) = 
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(case AList.lookup (op =) inst T of 
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NONE => Type (s, map (typ_subst inst) Ts) 
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 SOME T' => T') 
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 typ_subst inst T = the_default T (AList.lookup (op =) inst T); 
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fun variant_types ss Ss ctxt = 
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let 

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val (tfrees, _) = 

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fold_map2 (fn s => fn S => Name.variant s #> apfst (rpair S)) ss Ss (Variable.names_of ctxt); 

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val ctxt' = fold (Variable.declare_constraints o Logic.mk_type o TFree) tfrees ctxt; 

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in (tfrees, ctxt') end; 

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val lists_bmoc = fold (fn xs => fn t => Term.list_comb (t, xs)); 
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fun mk_tupled_fun x f xs = HOLogic.tupled_lambda x (Term.list_comb (f, xs)); 
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fun mk_uncurried_fun f xs = mk_tupled_fun (HOLogic.mk_tuple xs) f xs; 

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fun mk_flip (x, Type (_, [T1, Type (_, [T2, T3])])) = 
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Abs ("x", T1, Abs ("y", T2, Var (x, T2 > T1 > T3) $ Bound 0 $ Bound 1)); 
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fun flip_rels lthy n thm = 
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let 
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val Rs = Term.add_vars (prop_of thm) []; 
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val Rs' = rev (drop (length Rs  n) Rs); 
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val cRs = map (fn f => (certify lthy (Var f), certify lthy (mk_flip f))) Rs'; 
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in 
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Drule.cterm_instantiate cRs thm 
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end; 
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fun mk_ctor_or_dtor get_T Ts t = 
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let val Type (_, Ts0) = get_T (fastype_of t) in 

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Term.subst_atomic_types (Ts0 ~~ Ts) t 

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end; 

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val mk_ctor = mk_ctor_or_dtor range_type; 

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val mk_dtor = mk_ctor_or_dtor domain_type; 

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fun mk_rec_like lfp Ts Us t = 

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let 

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val (bindings, body) = strip_type (fastype_of t); 

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val (f_Us, prebody) = split_last bindings; 

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val Type (_, Ts0) = if lfp then prebody else body; 

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

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in 

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Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t 

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end; 

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fun mk_map live Ts Us t = 

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let val (Type (_, Ts0), Type (_, Us0)) = strip_typeN (live + 1) (fastype_of t) >> List.last in 

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Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t 

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end; 

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fun mk_rel live Ts Us t = 
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let val [Type (_, Ts0), Type (_, Us0)] = binder_types (snd (strip_typeN live (fastype_of t))) in 
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Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t 
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end; 
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fun liveness_of_fp_bnf n bnf = 
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(case T_of_bnf bnf of 
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Type (_, Ts) => map (not o member (op =) (deads_of_bnf bnf)) Ts 
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 _ => replicate n false); 
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fun tack z_name (c, u) f = 
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let val z = Free (z_name, mk_sumT (fastype_of u, fastype_of c)) in 

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Term.lambda z (mk_sum_case (Term.lambda u u, Term.lambda c (f $ c)) $ z) 

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end; 
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fun cannot_merge_types () = error "Mutually recursive types must have the same type parameters"; 
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fun merge_type_arg T T' = if T = T' then T else cannot_merge_types (); 
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fun merge_type_args (As, As') = 
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if length As = length As' then map2 merge_type_arg As As' else cannot_merge_types (); 
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fun reassoc_conjs thm = 
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reassoc_conjs (thm RS @{thm conj_assoc[THEN iffD1]}) 
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handle THM _ => thm; 
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fun type_args_constrained_of (((cAs, _), _), _) = cAs; 
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fun type_binding_of (((_, b), _), _) = b; 
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fun mixfix_of ((_, mx), _) = mx; 
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fun ctr_specs_of (_, ctr_specs) = ctr_specs; 
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fun disc_of ((((disc, _), _), _), _) = disc; 
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fun ctr_of ((((_, ctr), _), _), _) = ctr; 

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

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fun defaults_of ((_, ds), _) = ds; 

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fun ctr_mixfix_of (_, mx) = mx; 
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fun define_datatypes prepare_constraint prepare_typ prepare_term lfp construct_fp 
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(wrap_opts as (no_dests, rep_compat), specs) no_defs_lthy0 = 

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let 
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(* TODO: sanity checks on arguments *) 
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(* TODO: integration with function package ("size") *) 
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val _ = if not lfp andalso no_dests then error "Cannot define destructorless codatatypes" 
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else (); 
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fun qualify mandatory fp_b_name = 
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Binding.qualify mandatory fp_b_name o (rep_compat ? Binding.qualify false rep_compat_prefix); 

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val nn = length specs; 
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val fp_bs = map type_binding_of specs; 
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val fp_b_names = map Binding.name_of fp_bs; 
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val fp_common_name = mk_common_name fp_b_names; 

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fun prepare_type_arg (ty, c) = 
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let val TFree (s, _) = prepare_typ no_defs_lthy0 ty in 
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TFree (s, prepare_constraint no_defs_lthy0 c) 
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end; 
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val Ass0 = map (map prepare_type_arg o type_args_constrained_of) specs; 
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val unsorted_Ass0 = map (map (resort_tfree HOLogic.typeS)) Ass0; 
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val unsorted_As = Library.foldr1 merge_type_args unsorted_Ass0; 
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val (((Bs0, Cs), Xs), no_defs_lthy) = 
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no_defs_lthy0 
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> fold (Variable.declare_typ o resort_tfree dummyS) unsorted_As 
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> mk_TFrees (length unsorted_As) 
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>> mk_TFrees nn 
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>> apfst (map TFree) o 
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variant_types (map (prefix "'") fp_b_names) (replicate nn HOLogic.typeS); 
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(* TODO: cleaner handling of fake contexts, without "background_theory" *) 
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(*the "perhaps o try" below helps gracefully handles the case where the new type is defined in a 
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locale and shadows an existing global type*) 
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val fake_thy = 
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Theory.copy #> fold (fn spec => perhaps (try (Sign.add_type no_defs_lthy 
49336  182 
(type_binding_of spec, length (type_args_constrained_of spec), mixfix_of spec)))) specs; 
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val fake_lthy = Proof_Context.background_theory fake_thy no_defs_lthy; 
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fun mk_fake_T b = 
49121  186 
Type (fst (Term.dest_Type (Proof_Context.read_type_name fake_lthy true (Binding.name_of b))), 
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unsorted_As); 
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val fake_Ts = map mk_fake_T fp_bs; 
49121  190 

49181  191 
val mixfixes = map mixfix_of specs; 
49119  192 

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val _ = (case duplicates Binding.eq_name fp_bs of [] => () 
49119  194 
 b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b))); 
195 

49121  196 
val ctr_specss = map ctr_specs_of specs; 
49119  197 

49336  198 
val disc_bindingss = map (map disc_of) ctr_specss; 
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val ctr_bindingss = 

49633  200 
map2 (fn fp_b_name => map (qualify false fp_b_name o ctr_of)) fp_b_names ctr_specss; 
49121  201 
val ctr_argsss = map (map args_of) ctr_specss; 
49181  202 
val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss; 
49119  203 

49336  204 
val sel_bindingsss = map (map (map fst)) ctr_argsss; 
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val fake_ctr_Tsss0 = map (map (map (prepare_typ fake_lthy o snd))) ctr_argsss; 
49286  206 
val raw_sel_defaultsss = map (map defaults_of) ctr_specss; 
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val (As :: _) :: fake_ctr_Tsss = 
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burrow (burrow (Syntax.check_typs fake_lthy)) (Ass0 :: fake_ctr_Tsss0); 
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val _ = (case duplicates (op =) unsorted_As of [] => () 
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 A :: _ => error ("Duplicate type parameter " ^ 
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quote (Syntax.string_of_typ no_defs_lthy A))); 
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val rhs_As' = fold (fold (fold Term.add_tfreesT)) fake_ctr_Tsss []; 
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val _ = (case subtract (op =) (map dest_TFree As) rhs_As' of 
49165  217 
[] => () 
49342  218 
 A' :: _ => error ("Extra type variable on righthand side: " ^ 
49204  219 
quote (Syntax.string_of_typ no_defs_lthy (TFree A')))); 
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fun eq_fpT_check (T as Type (s, Us)) (Type (s', Us')) = 
49146  222 
s = s' andalso (Us = Us' orelse error ("Illegal occurrence of recursive type " ^ 
223 
quote (Syntax.string_of_typ fake_lthy T))) 

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224 
 eq_fpT_check _ _ = false; 
49146  225 

49204  226 
fun freeze_fp (T as Type (s, Us)) = 
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(case find_index (eq_fpT_check T) fake_Ts of 
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228 
~1 => Type (s, map freeze_fp Us) 
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229 
 kk => nth Xs kk) 
49204  230 
 freeze_fp T = T; 
49121  231 

49536  232 
val ctr_TsssXs = map (map (map freeze_fp)) fake_ctr_Tsss; 
233 
val ctr_sum_prod_TsXs = map (mk_sumTN_balanced o map HOLogic.mk_tupleT) ctr_TsssXs; 

49119  234 

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235 
val fp_eqs = 
49536  236 
map dest_TFree Xs ~~ map (Term.typ_subst_atomic (As ~~ unsorted_As)) ctr_sum_prod_TsXs; 
49121  237 

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238 
(* TODO: clean up list *) 
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val (pre_bnfs, ((fp_bnfs as any_fp_bnf :: _, dtors0, ctors0, fp_folds0, fp_recs0, fp_induct, 
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fp_strong_induct, dtor_ctors, ctor_dtors, ctor_injects, fp_map_thms, fp_set_thmss, 
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fp_rel_thms, fp_fold_thms, fp_rec_thms), lthy)) = 
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fp_bnf construct_fp fp_bs mixfixes (map dest_TFree unsorted_As) fp_eqs no_defs_lthy0; 
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243 

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244 
val timer = time (Timer.startRealTimer ()); 
49121  245 

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246 
fun build_map build_arg (Type (s, Ts)) (Type (_, Us)) = 
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247 
let 
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248 
val bnf = the (bnf_of lthy s); 
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249 
val live = live_of_bnf bnf; 
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250 
val mapx = mk_map live Ts Us (map_of_bnf bnf); 
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val TUs' = map dest_funT (fst (strip_typeN live (fastype_of mapx))); 
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252 
in Term.list_comb (mapx, map build_arg TUs') end; 
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253 

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254 
fun build_rel_step build_arg (Type (s, Ts)) = 
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255 
let 
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256 
val bnf = the (bnf_of lthy s); 
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257 
val live = live_of_bnf bnf; 
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258 
val rel = mk_rel live Ts Ts (rel_of_bnf bnf); 
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259 
val Ts' = map domain_type (fst (strip_typeN live (fastype_of rel))); 
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260 
in Term.list_comb (rel, map build_arg Ts') end; 
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261 

49363  262 
fun add_nesty_bnf_names Us = 
49226  263 
let 
264 
fun add (Type (s, Ts)) ss = 

265 
let val (needs, ss') = fold_map add Ts ss in 

266 
if exists I needs then (true, insert (op =) s ss') else (false, ss') 

267 
end 

49363  268 
 add T ss = (member (op =) Us T, ss); 
49226  269 
in snd oo add end; 
270 

49363  271 
fun nesty_bnfs Us = 
49536  272 
map_filter (bnf_of lthy) (fold (fold (fold (add_nesty_bnf_names Us))) ctr_TsssXs []); 
49363  273 

274 
val nesting_bnfs = nesty_bnfs As; 

49536  275 
val nested_bnfs = nesty_bnfs Xs; 
49226  276 

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val pre_map_defs = map map_def_of_bnf pre_bnfs; 
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val pre_set_defss = map set_defs_of_bnf pre_bnfs; 
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val pre_rel_defs = map rel_def_of_bnf pre_bnfs; 
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280 
val nested_map_comp's = map map_comp'_of_bnf nested_bnfs; 
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281 
val nested_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nested_bnfs; 
49671  282 
val nesting_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nesting_bnfs; 
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283 
val nested_set_natural's = maps set_natural'_of_bnf nested_bnfs; 
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val nesting_set_natural's = maps set_natural'_of_bnf nesting_bnfs; 
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285 

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286 
val live = live_of_bnf any_fp_bnf; 
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287 

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288 
val Bs = 
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289 
map3 (fn alive => fn A as TFree (_, S) => fn B => if alive then resort_tfree S B else A) 
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290 
(liveness_of_fp_bnf (length As) any_fp_bnf) As Bs0; 
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291 

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292 
val B_ify = Term.typ_subst_atomic (As ~~ Bs); 
49167  293 

49501  294 
val ctors = map (mk_ctor As) ctors0; 
295 
val dtors = map (mk_dtor As) dtors0; 

49124  296 

49501  297 
val fpTs = map (domain_type o fastype_of) dtors; 
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298 

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299 
val exists_fp_subtype = exists_subtype (member (op =) fpTs); 
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300 
val exists_Cs_subtype = exists_subtype (member (op =) Cs); 
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301 

49536  302 
val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctr_TsssXs; 
49203  303 
val ns = map length ctr_Tsss; 
49212  304 
val kss = map (fn n => 1 upto n) ns; 
49203  305 
val mss = map (map length) ctr_Tsss; 
306 
val Css = map2 replicate ns Cs; 

307 

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308 
val fp_folds as any_fp_fold :: _ = map (mk_rec_like lfp As Cs) fp_folds0; 
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309 
val fp_recs as any_fp_rec :: _ = map (mk_rec_like lfp As Cs) fp_recs0; 
49210  310 

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311 
val fp_fold_fun_Ts = fst (split_last (binder_types (fastype_of any_fp_fold))); 
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312 
val fp_rec_fun_Ts = fst (split_last (binder_types (fastype_of any_fp_rec))); 
49204  313 

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314 
val (((fold_only as (gss, _, _), rec_only as (hss, _, _)), 
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315 
(zs, cs, cpss, unfold_only as ((pgss, crgsss), _), corec_only as ((phss, cshsss), _))), 
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316 
names_lthy0) = 
49208  317 
if lfp then 
318 
let 

319 
val y_Tsss = 

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320 
map3 (fn n => fn ms => map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type) 
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321 
ns mss fp_fold_fun_Ts; 
49208  322 
val g_Tss = map2 (map2 (curry (op >))) y_Tsss Css; 
323 

49484  324 
val ((gss, ysss), lthy) = 
49208  325 
lthy 
326 
> mk_Freess "f" g_Tss 

327 
>> mk_Freesss "x" y_Tsss; 

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328 

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329 
fun proj_recT proj (Type (s as @{type_name prod}, Ts as [T, U])) = 
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330 
if member (op =) fpTs T then proj (T, U) else Type (s, map (proj_recT proj) Ts) 
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331 
 proj_recT proj (Type (s, Ts)) = Type (s, map (proj_recT proj) Ts) 
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332 
 proj_recT _ T = T; 
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333 

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334 
fun unzip_recT T = 
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335 
if exists_fp_subtype T then [proj_recT fst T, proj_recT snd T] else [T]; 
49204  336 

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337 
val z_Tsss = 
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338 
map3 (fn n => fn ms => map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type) 
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339 
ns mss fp_rec_fun_Ts; 
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340 
val z_Tssss = map (map (map unzip_recT)) z_Tsss; 
49208  341 
val h_Tss = map2 (map2 (fold_rev (curry (op >)))) z_Tssss Css; 
49204  342 

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343 
val hss = map2 (map2 retype_free) h_Tss gss; 
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344 
val zsss = map2 (map2 (map2 retype_free)) z_Tsss ysss; 
49210  345 
in 
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346 
((((gss, g_Tss, ysss), (hss, h_Tss, zsss)), 
49484  347 
([], [], [], (([], []), ([], [])), (([], []), ([], [])))), lthy) 
49210  348 
end 
49208  349 
else 
49210  350 
let 
49221
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351 
(*avoid "'a itself" arguments in coiterators and corecursors*) 
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352 
val mss' = map (fn [0] => [1]  ms => ms) mss; 
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353 

49463  354 
val p_Tss = map2 (fn n => replicate (Int.max (0, n  1)) o mk_pred1T) ns Cs; 
49275  355 

49587  356 
fun flat_predss_getterss qss fss = maps (op @) (qss ~~ fss); 
49211  357 

49587  358 
fun flat_preds_predsss_gettersss [] [qss] [fss] = flat_predss_getterss qss fss 
359 
 flat_preds_predsss_gettersss (p :: ps) (qss :: qsss) (fss :: fsss) = 

360 
p :: flat_predss_getterss qss fss @ flat_preds_predsss_gettersss ps qsss fsss; 

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361 

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362 
fun mk_types maybe_unzipT fun_Ts = 
49212  363 
let 
364 
val f_sum_prod_Ts = map range_type fun_Ts; 

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365 
val f_prod_Tss = map2 dest_sumTN_balanced ns f_sum_prod_Ts; 
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366 
val f_Tsss = map2 (map2 dest_tupleT) mss' f_prod_Tss; 
49275  367 
val f_Tssss = 
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368 
map2 (fn C => map (map (map (curry (op >) C) o maybe_unzipT))) Cs f_Tsss; 
49275  369 
val q_Tssss = 
49463  370 
map (map (map (fn [_] => []  [_, C] => [mk_pred1T (domain_type C)]))) f_Tssss; 
49587  371 
val pf_Tss = map3 flat_preds_predsss_gettersss p_Tss q_Tssss f_Tssss; 
49681
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372 
in (q_Tssss, f_sum_prod_Ts, f_Tsss, f_Tssss, pf_Tss) end; 
49176  373 

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374 
val (r_Tssss, g_sum_prod_Ts, g_Tsss, g_Tssss, pg_Tss) = mk_types single fp_fold_fun_Ts; 
49211  375 

49484  376 
val ((((Free (z, _), cs), pss), gssss), lthy) = 
49210  377 
lthy 
49233  378 
> yield_singleton (mk_Frees "z") dummyT 
379 
>> mk_Frees "a" Cs 

49211  380 
>> mk_Freess "p" p_Tss 
49275  381 
>> mk_Freessss "g" g_Tssss; 
382 
val rssss = map (map (map (fn [] => []))) r_Tssss; 

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383 

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384 
fun proj_corecT proj (Type (s as @{type_name sum}, Ts as [T, U])) = 
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385 
if member (op =) fpTs T then proj (T, U) else Type (s, map (proj_corecT proj) Ts) 
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386 
 proj_corecT proj (Type (s, Ts)) = Type (s, map (proj_corecT proj) Ts) 
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387 
 proj_corecT _ T = T; 
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388 

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389 
fun unzip_corecT T = 
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390 
if exists_fp_subtype T then [proj_corecT fst T, proj_corecT snd T] else [T]; 
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391 

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392 
val (s_Tssss, h_sum_prod_Ts, h_Tsss, h_Tssss, ph_Tss) = 
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393 
mk_types unzip_corecT fp_rec_fun_Ts; 
49210  394 

49298
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395 
val hssss_hd = map2 (map2 (map2 (fn T :: _ => fn [g] => retype_free T g))) h_Tssss gssss; 
49484  396 
val ((sssss, hssss_tl), lthy) = 
49275  397 
lthy 
398 
> mk_Freessss "q" s_Tssss 

399 
>> mk_Freessss "h" (map (map (map tl)) h_Tssss); 

400 
val hssss = map2 (map2 (map2 cons)) hssss_hd hssss_tl; 

49211  401 

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402 
val cpss = map2 (map o rapp) cs pss; 
49212  403 

49681
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404 
fun build_sum_inj mk_inj (T, U) = 
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405 
if T = U then 
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406 
id_const T 
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407 
else 
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408 
(case (T, U) of 
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409 
(Type (s, _), Type (s', _)) => 
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410 
if s = s' then build_map (build_sum_inj mk_inj) T U 
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411 
else uncurry mk_inj (dest_sumT U) 
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412 
 _ => uncurry mk_inj (dest_sumT U)); 
49276  413 

49681
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414 
fun build_dtor_corec_arg _ [] [cf] = cf 
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415 
 build_dtor_corec_arg T [cq] [cf, cf'] = 
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416 
mk_If cq (build_sum_inj Inl_const (fastype_of cf, T) $ cf) 
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417 
(build_sum_inj Inr_const (fastype_of cf', T) $ cf') 
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418 

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419 
fun mk_terms f_Tsss qssss fssss = 
49212  420 
let 
49587  421 
val pfss = map3 flat_preds_predsss_gettersss pss qssss fssss; 
49681
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422 
val cqssss = map2 (map o map o map o rapp) cs qssss; 
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423 
val cfssss = map2 (map o map o map o rapp) cs fssss; 
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424 
val cqfsss = map3 (map3 (map3 build_dtor_corec_arg)) f_Tsss cqssss cfssss; 
49276  425 
in (pfss, cqfsss) end; 
49210  426 
in 
49484  427 
(((([], [], []), ([], [], [])), 
49681
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428 
([z], cs, cpss, (mk_terms g_Tsss rssss gssss, (g_sum_prod_Ts, pg_Tss)), 
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429 
(mk_terms h_Tsss sssss hssss, (h_sum_prod_Ts, ph_Tss)))), lthy) 
49210  430 
end; 
431 

49585
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432 
fun define_ctrs_case_for_type (((((((((((((((((((((((((fp_bnf, fp_b), fpT), C), ctor), dtor), 
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433 
fp_fold), fp_rec), ctor_dtor), dtor_ctor), ctor_inject), pre_map_def), pre_set_defs), 
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434 
pre_rel_def), fp_map_thm), fp_set_thms), fp_rel_thm), n), ks), ms), ctr_bindings), 
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435 
ctr_mixfixes), ctr_Tss), disc_bindings), sel_bindingss), raw_sel_defaultss) no_defs_lthy = 
49176  436 
let 
49498  437 
val fp_b_name = Binding.name_of fp_b; 
438 

49501  439 
val dtorT = domain_type (fastype_of ctor); 
49210  440 
val ctr_prod_Ts = map HOLogic.mk_tupleT ctr_Tss; 
49255
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441 
val ctr_sum_prod_T = mk_sumTN_balanced ctr_prod_Ts; 
49134
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442 
val case_Ts = map (fn Ts => Ts > C) ctr_Tss; 
49119  443 

49593  444 
val (((((w, fs), xss), yss), u'), names_lthy) = 
49204  445 
no_defs_lthy 
49501  446 
> yield_singleton (mk_Frees "w") dtorT 
49176  447 
>> mk_Frees "f" case_Ts 
49370  448 
>> mk_Freess "x" ctr_Tss 
49585
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449 
>> mk_Freess "y" (map (map B_ify) ctr_Tss) 
49498  450 
>> yield_singleton Variable.variant_fixes fp_b_name; 
49370  451 

49498  452 
val u = Free (u', fpT); 
49121  453 

49585
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454 
val tuple_xs = map HOLogic.mk_tuple xss; 
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455 
val tuple_ys = map HOLogic.mk_tuple yss; 
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456 

49129  457 
val ctr_rhss = 
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458 
map3 (fn k => fn xs => fn tuple_x => fold_rev Term.lambda xs (ctor $ 
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459 
mk_InN_balanced ctr_sum_prod_T n tuple_x k)) ks xss tuple_xs; 
49121  460 

49633  461 
val case_binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ caseN) fp_b); 
49129  462 

49134
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463 
val case_rhs = 
49498  464 
fold_rev Term.lambda (fs @ [u]) 
49501  465 
(mk_sum_caseN_balanced (map2 mk_uncurried_fun fs xss) $ (dtor $ u)); 
49129  466 

49201  467 
val ((raw_case :: raw_ctrs, raw_case_def :: raw_ctr_defs), (lthy', lthy)) = no_defs_lthy 
49169  468 
> apfst split_list o fold_map3 (fn b => fn mx => fn rhs => 
49302
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added optional qualifiers for constructors and destructors, similarly to the old package
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49300
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469 
Local_Theory.define ((b, mx), ((Thm.def_binding b, []), rhs)) #>> apsnd snd) 
49336  470 
(case_binding :: ctr_bindings) (NoSyn :: ctr_mixfixes) (case_rhs :: ctr_rhss) 
49121  471 
> `Local_Theory.restore; 
472 

473 
val phi = Proof_Context.export_morphism lthy lthy'; 

474 

475 
val ctr_defs = map (Morphism.thm phi) raw_ctr_defs; 

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476 
val ctr_defs' = 
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477 
map2 (fn m => fn def => mk_unabs_def m (def RS meta_eq_to_obj_eq)) ms ctr_defs; 
49130
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478 
val case_def = Morphism.thm phi raw_case_def; 
3c26e17b2849
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479 

49203  480 
val ctrs0 = map (Morphism.term phi) raw_ctrs; 
481 
val casex0 = Morphism.term phi raw_case; 

482 

483 
val ctrs = map (mk_ctr As) ctrs0; 

49121  484 

49585
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485 
fun wrap lthy = 
49123
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486 
let 
49585
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487 
fun exhaust_tac {context = ctxt, ...} = 
49135  488 
let 
49585
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489 
val ctor_iff_dtor_thm = 
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490 
let 
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491 
val goal = 
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492 
fold_rev Logic.all [w, u] 
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493 
(mk_Trueprop_eq (HOLogic.mk_eq (u, ctor $ w), HOLogic.mk_eq (dtor $ u, w))); 
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494 
in 
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495 
Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} => 
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496 
mk_ctor_iff_dtor_tac ctxt (map (SOME o certifyT lthy) [dtorT, fpT]) 
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497 
(certify lthy ctor) (certify lthy dtor) ctor_dtor dtor_ctor) 
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498 
> Thm.close_derivation 
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499 
> Morphism.thm phi 
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500 
end; 
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501 

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502 
val sumEN_thm' = 
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503 
unfold_thms lthy @{thms all_unit_eq} 
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504 
(Drule.instantiate' (map (SOME o certifyT lthy) ctr_prod_Ts) [] 
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505 
(mk_sumEN_balanced n)) 
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506 
> Morphism.thm phi; 
49135  507 
in 
49585
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508 
mk_exhaust_tac ctxt n ctr_defs ctor_iff_dtor_thm sumEN_thm' 
49135  509 
end; 
510 

49585
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511 
val inject_tacss = 
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512 
map2 (fn 0 => K []  _ => fn ctr_def => [fn {context = ctxt, ...} => 
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513 
mk_inject_tac ctxt ctr_def ctor_inject]) ms ctr_defs; 
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514 

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515 
val half_distinct_tacss = 
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516 
map (map (fn (def, def') => fn {context = ctxt, ...} => 
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517 
mk_half_distinct_tac ctxt ctor_inject [def, def'])) (mk_half_pairss (`I ctr_defs)); 
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518 

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519 
val case_tacs = 
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520 
map3 (fn k => fn m => fn ctr_def => fn {context = ctxt, ...} => 
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521 
mk_case_tac ctxt n k m case_def ctr_def dtor_ctor) ks ms ctr_defs; 
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522 

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523 
val tacss = [exhaust_tac] :: inject_tacss @ half_distinct_tacss @ [case_tacs]; 
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524 

5c4a12550491
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525 
val sel_defaultss = map (map (apsnd (prepare_term lthy))) raw_sel_defaultss 
49123
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526 
in 
49633  527 
wrap_datatype tacss (((wrap_opts, ctrs0), casex0), (disc_bindings, (sel_bindingss, 
49585
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528 
sel_defaultss))) lthy 
49123
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529 
end; 
49121  530 

49585
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531 
fun derive_maps_sets_rels (wrap_res, lthy) = 
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532 
let 
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533 
val rel_flip = rel_flip_of_bnf fp_bnf; 
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534 
val nones = replicate live NONE; 
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535 

5c4a12550491
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536 
val ctor_cong = 
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537 
if lfp then Drule.dummy_thm 
5c4a12550491
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538 
else cterm_instantiate_pos [NONE, NONE, SOME (certify lthy ctor)] arg_cong; 
5c4a12550491
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539 

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540 
fun mk_cIn ify = 
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541 
certify lthy o (not lfp ? curry (op $) (map_types ify ctor)) oo 
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542 
mk_InN_balanced (ify ctr_sum_prod_T) n; 
5c4a12550491
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543 

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544 
val cxIns = map2 (mk_cIn I) tuple_xs ks; 
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545 
val cyIns = map2 (mk_cIn B_ify) tuple_ys ks; 
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546 

49682  547 
fun mk_map_thm ctr_def' cxIn = 
49585
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548 
fold_thms lthy [ctr_def'] 
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549 
(unfold_thms lthy (pre_map_def :: 
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550 
(if lfp then [] else [ctor_dtor, dtor_ctor]) @ sum_prod_thms_map) 
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551 
(cterm_instantiate_pos (nones @ [SOME cxIn]) 
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552 
(if lfp then fp_map_thm else fp_map_thm RS ctor_cong))) 
49593  553 
> singleton (Proof_Context.export names_lthy no_defs_lthy); 
49585
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554 

49682  555 
fun mk_set_thm fp_set_thm ctr_def' cxIn = 
49585
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556 
fold_thms lthy [ctr_def'] 
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557 
(unfold_thms lthy (pre_set_defs @ nested_set_natural's @ nesting_set_natural's @ 
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558 
(if lfp then [] else [dtor_ctor]) @ sum_prod_thms_set) 
5c4a12550491
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559 
(cterm_instantiate_pos [SOME cxIn] fp_set_thm)) 
49593  560 
> singleton (Proof_Context.export names_lthy no_defs_lthy); 
49585
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561 

49682  562 
fun mk_set_thms fp_set_thm = map2 (mk_set_thm fp_set_thm) ctr_defs' cxIns; 
49585
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563 

49682  564 
val map_thms = map2 mk_map_thm ctr_defs' cxIns; 
49585
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565 
val set_thmss = map mk_set_thms fp_set_thms; 
49127  566 

49682  567 
val rel_infos = (ctr_defs' ~~ cxIns, ctr_defs' ~~ cyIns); 
49585
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568 

49682  569 
fun mk_rel_thm postproc ctr_defs' cxIn cyIn = 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
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parents:
49583
diff
changeset

570 
fold_thms lthy ctr_defs' 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
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parents:
49590
diff
changeset

571 
(unfold_thms lthy (pre_rel_def :: (if lfp then [] else [dtor_ctor]) @ 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

572 
sum_prod_thms_rel) 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

573 
(cterm_instantiate_pos (nones @ [SOME cxIn, SOME cyIn]) fp_rel_thm)) 
49593  574 
> postproc 
575 
> singleton (Proof_Context.export names_lthy no_defs_lthy); 

49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
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parents:
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diff
changeset

576 

49682  577 
fun mk_rel_inject_thm ((ctr_def', cxIn), (_, cyIn)) = 
578 
mk_rel_thm (unfold_thms lthy @{thms eq_sym_Unity_conv}) [ctr_def'] cxIn cyIn; 

49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
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diff
changeset

579 

49592
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
blanchet
parents:
49591
diff
changeset

580 
val rel_inject_thms = map mk_rel_inject_thm (op ~~ rel_infos); 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
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diff
changeset

581 

49682  582 
fun mk_half_rel_distinct_thm ((xctr_def', cxIn), (yctr_def', cyIn)) = 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
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parents:
49583
diff
changeset

583 
mk_rel_thm (fn thm => thm RS @{thm eq_False[THEN iffD1]}) [xctr_def', yctr_def'] 
49682  584 
cxIn cyIn; 
49121  585 

49592
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
blanchet
parents:
49591
diff
changeset

586 
fun mk_other_half_rel_distinct_thm thm = 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
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parents:
49583
diff
changeset

587 
flip_rels lthy live thm RS (rel_flip RS sym RS @{thm arg_cong[of _ _ Not]} RS iffD2); 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

588 

49592
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
blanchet
parents:
49591
diff
changeset

589 
val half_rel_distinct_thmss = 
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
blanchet
parents:
49591
diff
changeset

590 
map (map mk_half_rel_distinct_thm) (mk_half_pairss rel_infos); 
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
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parents:
49591
diff
changeset

591 
val other_half_rel_distinct_thmss = 
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
blanchet
parents:
49591
diff
changeset

592 
map (map mk_other_half_rel_distinct_thm) half_rel_distinct_thmss; 
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
blanchet
parents:
49591
diff
changeset

593 
val (rel_distinct_thms, _) = 
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
blanchet
parents:
49591
diff
changeset

594 
join_halves n half_rel_distinct_thmss other_half_rel_distinct_thmss; 
49134
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset

595 

49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

596 
val notes = 
49594
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
49593
diff
changeset

597 
[(mapN, map_thms, code_simp_attrs), 
49592
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
blanchet
parents:
49591
diff
changeset

598 
(rel_distinctN, rel_distinct_thms, code_simp_attrs), 
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
blanchet
parents:
49591
diff
changeset

599 
(rel_injectN, rel_inject_thms, code_simp_attrs), 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

600 
(setsN, flat set_thmss, code_simp_attrs)] 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
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parents:
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diff
changeset

601 
> filter_out (null o #2) 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
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diff
changeset

602 
> map (fn (thmN, thms, attrs) => 
49633  603 
((qualify true fp_b_name (Binding.name thmN), attrs), [(thms, [])])); 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
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parents:
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diff
changeset

604 
in 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
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parents:
49583
diff
changeset

605 
(wrap_res, lthy > Local_Theory.notes notes > snd) 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
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diff
changeset

606 
end; 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

607 

5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

608 
fun define_fold_rec no_defs_lthy = 
49134
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset

609 
let 
49208  610 
val fpT_to_C = fpT > C; 
49199  611 

49681
aa66ea552357
changed type of corecursor for the nested recursion case
blanchet
parents:
49672
diff
changeset

612 
fun build_prod_proj mk_proj (T, U) = 
49670
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

613 
if T = U then 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

614 
id_const T 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

615 
else 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

616 
(case (T, U) of 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

617 
(Type (s, _), Type (s', _)) => 
49681
aa66ea552357
changed type of corecursor for the nested recursion case
blanchet
parents:
49672
diff
changeset

618 
if s = s' then build_map (build_prod_proj mk_proj) T U else mk_proj T 
49670
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

619 
 _ => mk_proj T); 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

620 

49681
aa66ea552357
changed type of corecursor for the nested recursion case
blanchet
parents:
49672
diff
changeset

621 
(* TODO: Avoid these complications; cf. corec case *) 
49672
902b24e0ffb4
fixed recursor definition for datatypes with inner products (e.g. "'a trm" from the lambdaterm example)
blanchet
parents:
49671
diff
changeset

622 
fun mk_U proj (Type (s as @{type_name prod}, Ts as [T', U])) = 
902b24e0ffb4
fixed recursor definition for datatypes with inner products (e.g. "'a trm" from the lambdaterm example)
blanchet
parents:
49671
diff
changeset

623 
if member (op =) fpTs T' then proj (T', U) else Type (s, map (mk_U proj) Ts) 
49670
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

624 
 mk_U proj (Type (s, Ts)) = Type (s, map (mk_U proj) Ts) 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

625 
 mk_U _ T = T; 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

626 

c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

627 
fun unzip_rec (x as Free (_, T)) = 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

628 
if exists_fp_subtype T then 
49681
aa66ea552357
changed type of corecursor for the nested recursion case
blanchet
parents:
49672
diff
changeset

629 
[build_prod_proj fst_const (T, mk_U fst T) $ x, 
aa66ea552357
changed type of corecursor for the nested recursion case
blanchet
parents:
49672
diff
changeset

630 
build_prod_proj snd_const (T, mk_U snd T) $ x] 
49670
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

631 
else 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

632 
[x]; 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

633 

c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

634 
fun mk_rec_like_arg f xs = mk_tupled_fun (HOLogic.mk_tuple xs) f (maps unzip_rec xs); 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

635 

c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

636 
fun generate_rec_like (suf, fp_rec_like, (fss, f_Tss, xsss)) = 
49215  637 
let 
638 
val res_T = fold_rev (curry (op >)) f_Tss fpT_to_C; 

49633  639 
val binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ suf) fp_b); 
49215  640 
val spec = 
49336  641 
mk_Trueprop_eq (lists_bmoc fss (Free (Binding.name_of binding, res_T)), 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

642 
Term.list_comb (fp_rec_like, 
49670
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

643 
map2 (mk_sum_caseN_balanced oo map2 mk_rec_like_arg) fss xsss)); 
49336  644 
in (binding, spec) end; 
49199  645 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

646 
val rec_like_infos = 
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

647 
[(foldN, fp_fold, fold_only), 
49215  648 
(recN, fp_rec, rec_only)]; 
649 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

650 
val (bindings, specs) = map generate_rec_like rec_like_infos > split_list; 
49215  651 

652 
val ((csts, defs), (lthy', lthy)) = no_defs_lthy 

49201  653 
> apfst split_list o fold_map2 (fn b => fn spec => 
49199  654 
Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec)) 
49336  655 
#>> apsnd snd) bindings specs 
49199  656 
> `Local_Theory.restore; 
49201  657 

658 
val phi = Proof_Context.export_morphism lthy lthy'; 

659 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

660 
val [fold_def, rec_def] = map (Morphism.thm phi) defs; 
49201  661 

49536  662 
val [foldx, recx] = map (mk_rec_like lfp As Cs o Morphism.term phi) csts; 
49134
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset

663 
in 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

664 
((foldx, recx, fold_def, rec_def), lthy) 
49134
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset

665 
end; 
846264f80f16
optionally provide extra dead variables to the FP constructions
blanchet
parents:
49130
diff
changeset

666 

49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

667 
fun define_unfold_corec no_defs_lthy = 
49210  668 
let 
669 
val B_to_fpT = C > fpT; 

49211  670 

49276  671 
fun mk_preds_getterss_join c n cps sum_prod_T cqfss = 
672 
Term.lambda c (mk_IfN sum_prod_T cps 

673 
(map2 (mk_InN_balanced sum_prod_T n) (map HOLogic.mk_tuple cqfss) (1 upto n))); 

49275  674 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

675 
fun generate_corec_like (suf, fp_rec_like, ((pfss, cqfsss), (f_sum_prod_Ts, 
49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset

676 
pf_Tss))) = 
49211  677 
let 
678 
val res_T = fold_rev (curry (op >)) pf_Tss B_to_fpT; 

49633  679 
val binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ suf) fp_b); 
49211  680 
val spec = 
49336  681 
mk_Trueprop_eq (lists_bmoc pfss (Free (Binding.name_of binding, res_T)), 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

682 
Term.list_comb (fp_rec_like, 
49276  683 
map5 mk_preds_getterss_join cs ns cpss f_sum_prod_Ts cqfsss)); 
49336  684 
in (binding, spec) end; 
49210  685 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

686 
val corec_like_infos = 
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

687 
[(unfoldN, fp_fold, unfold_only), 
49215  688 
(corecN, fp_rec, corec_only)]; 
49212  689 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

690 
val (bindings, specs) = map generate_corec_like corec_like_infos > split_list; 
49211  691 

692 
val ((csts, defs), (lthy', lthy)) = no_defs_lthy 

49210  693 
> apfst split_list o fold_map2 (fn b => fn spec => 
694 
Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec)) 

49336  695 
#>> apsnd snd) bindings specs 
49210  696 
> `Local_Theory.restore; 
697 

698 
val phi = Proof_Context.export_morphism lthy lthy'; 

699 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

700 
val [unfold_def, corec_def] = map (Morphism.thm phi) defs; 
49210  701 

49536  702 
val [unfold, corec] = map (mk_rec_like lfp As Cs o Morphism.term phi) csts; 
49210  703 
in 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

704 
((unfold, corec, unfold_def, corec_def), lthy) 
49287
ebe2a5cec4bf
allow defaults for one datatype to involve the constructor of another one in the mutually recursive case
blanchet
parents:
49286
diff
changeset

705 
end; 
ebe2a5cec4bf
allow defaults for one datatype to involve the constructor of another one in the mutually recursive case
blanchet
parents:
49286
diff
changeset

706 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

707 
val define_rec_likes = if lfp then define_fold_rec else define_unfold_corec; 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

708 

5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

709 
fun massage_res ((wrap_res, rec_like_res), lthy) = 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

710 
(((ctrs, xss, ctr_defs, wrap_res), rec_like_res), lthy); 
49119  711 
in 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

712 
(wrap #> (live > 0 ? derive_maps_sets_rels) ##>> define_rec_likes #> massage_res, lthy') 
49119  713 
end; 
49167  714 

49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

715 
fun wrap_types_and_more (wrap_types_and_mores, lthy) = 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

716 
fold_map I wrap_types_and_mores lthy 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

717 
>> apsnd split_list4 o apfst split_list4 o split_list; 
49226  718 

49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

719 
(* TODO: Add map, sets, rel simps *) 
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

720 
val mk_simp_thmss = 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

721 
map3 (fn (_, _, _, injects, distincts, cases, _, _, _) => fn rec_likes => fn fold_likes => 
49505  722 
injects @ distincts @ cases @ rec_likes @ fold_likes); 
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

723 

49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

724 
fun derive_induct_fold_rec_thms_for_types (((ctrss, xsss, ctr_defss, wrap_ress), (folds, recs, 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

725 
fold_defs, rec_defs)), lthy) = 
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset

726 
let 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

727 
val (((ps, ps'), us'), names_lthy) = 
49370  728 
lthy 
49463  729 
> mk_Frees' "P" (map mk_pred1T fpTs) 
49498  730 
>> Variable.variant_fixes fp_b_names; 
49370  731 

49498  732 
val us = map2 (curry Free) us' fpTs; 
49370  733 

49362
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

734 
fun mk_sets_nested bnf = 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

735 
let 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

736 
val Type (T_name, Us) = T_of_bnf bnf; 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

737 
val lives = lives_of_bnf bnf; 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

738 
val sets = sets_of_bnf bnf; 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

739 
fun mk_set U = 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

740 
(case find_index (curry (op =) U) lives of 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

741 
~1 => Term.dummy 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

742 
 i => nth sets i); 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

743 
in 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

744 
(T_name, map mk_set Us) 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

745 
end; 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

746 

1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

747 
val setss_nested = map mk_sets_nested nested_bnfs; 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

748 

49337  749 
val (induct_thms, induct_thm) = 
750 
let 

49362
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

751 
fun mk_set Ts t = 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

752 
let val Type (_, Ts0) = domain_type (fastype_of t) in 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

753 
Term.subst_atomic_types (Ts0 ~~ Ts) t 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

754 
end; 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

755 

49375
993677c1cf2a
tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents:
49372
diff
changeset

756 
fun mk_raw_prem_prems names_lthy (x as Free (s, T as Type (T_name, Ts0))) = 
49361
cc1d39529dd1
derive induction via backward proof, to ensure that the premises are in the right order for constructors like "X x y x" where x and y are mutually recursive
blanchet
parents:
49342
diff
changeset

757 
(case find_index (curry (op =) T) fpTs of 
49362
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

758 
~1 => 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

759 
(case AList.lookup (op =) setss_nested T_name of 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

760 
NONE => [] 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

761 
 SOME raw_sets0 => 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

762 
let 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

763 
val (Ts, raw_sets) = 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

764 
split_list (filter (exists_fp_subtype o fst) (Ts0 ~~ raw_sets0)); 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

765 
val sets = map (mk_set Ts0) raw_sets; 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

766 
val (ys, names_lthy') = names_lthy > mk_Frees s Ts; 
49375
993677c1cf2a
tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents:
49372
diff
changeset

767 
val xysets = map (pair x) (ys ~~ sets); 
993677c1cf2a
tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents:
49372
diff
changeset

768 
val ppremss = map (mk_raw_prem_prems names_lthy') ys; 
49362
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

769 
in 
49375
993677c1cf2a
tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents:
49372
diff
changeset

770 
flat (map2 (map o apfst o cons) xysets ppremss) 
49362
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

771 
end) 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

772 
 kk => [([], (kk + 1, x))]) 
49375
993677c1cf2a
tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents:
49372
diff
changeset

773 
 mk_raw_prem_prems _ _ = []; 
49342  774 

49378
19237e465055
fixed issue with bound variables in prem prems + tuning
blanchet
parents:
49377
diff
changeset

775 
fun close_prem_prem xs t = 
19237e465055
fixed issue with bound variables in prem prems + tuning
blanchet
parents:
49377
diff
changeset

776 
fold_rev Logic.all (map Free (drop (nn + length xs) 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

777 
(rev (Term.add_frees t (map dest_Free xs @ ps'))))) t; 
49362
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

778 

49378
19237e465055
fixed issue with bound variables in prem prems + tuning
blanchet
parents:
49377
diff
changeset

779 
fun mk_prem_prem xs (xysets, (j, x)) = 
19237e465055
fixed issue with bound variables in prem prems + tuning
blanchet
parents:
49377
diff
changeset

780 
close_prem_prem xs (Logic.list_implies (map (fn (x', (y, set)) => 
49376
c6366fd0415a
select the right premise in "mk_induct_discharge_prem_prems_tac" instead of relying on backtracking
blanchet
parents:
49375
diff
changeset

781 
HOLogic.mk_Trueprop (HOLogic.mk_mem (y, set $ x'))) xysets, 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

782 
HOLogic.mk_Trueprop (nth ps (j  1) $ x))); 
49375
993677c1cf2a
tuned code before fixing "mk_induct_discharge_prem_prems_tac"
blanchet
parents:
49372
diff
changeset

783 

49372  784 
fun mk_raw_prem phi ctr ctr_Ts = 
49362
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

785 
let 
1271aca16aed
make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents:
49361
diff
changeset

786 
val (xs, names_lthy') = names_lthy > mk_Frees "x" ctr_Ts; 
49376
c6366fd0415a
select the right premise in "mk_induct_discharge_prem_prems_tac" instead of relying on backtracking
blanchet
parents:
49375
diff
changeset

787 
val pprems = maps (mk_raw_prem_prems names_lthy') xs; 
49378
19237e465055
fixed issue with bound variables in prem prems + tuning
blanchet
parents:
49377
diff
changeset

788 
in (xs, pprems, HOLogic.mk_Trueprop (phi $ Term.list_comb (ctr, xs))) end; 
49342  789 

49376
c6366fd0415a
select the right premise in "mk_induct_discharge_prem_prems_tac" instead of relying on backtracking
blanchet
parents:
49375
diff
changeset

790 
fun mk_prem (xs, raw_pprems, concl) = 
49378
19237e465055
fixed issue with bound variables in prem prems + tuning
blanchet
parents:
49377
diff
changeset

791 
fold_rev Logic.all xs (Logic.list_implies (map (mk_prem_prem xs) raw_pprems, concl)); 
49368  792 

49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

793 
val raw_premss = map3 (map2 o mk_raw_prem) ps ctrss ctr_Tsss; 
49389  794 

49361
cc1d39529dd1
derive induction via backward proof, to ensure that the premises are in the right order for constructors like "X x y x" where x and y are mutually recursive
blanchet
parents:
49342
diff
changeset

795 
val goal = 
49372  796 
Library.foldr (Logic.list_implies o apfst (map mk_prem)) (raw_premss, 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

797 
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 (curry (op $)) ps us))); 
49368  798 

49429
64ac3471005a
cleaner way of dealing with the set functions of sums and products
blanchet
parents:
49427
diff
changeset

799 
val kksss = map (map (map (fst o snd) o #2)) raw_premss; 
49368  800 

49501  801 
val ctor_induct' = fp_induct OF (map mk_sumEN_tupled_balanced mss); 
49342  802 

49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

803 
val thm = 
49361
cc1d39529dd1
derive induction via backward proof, to ensure that the premises are in the right order for constructors like "X x y x" where x and y are mutually recursive
blanchet
parents:
49342
diff
changeset

804 
Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} => 
49590  805 
mk_induct_tac ctxt nn ns mss kksss (flat ctr_defss) ctor_induct' 
49389  806 
nested_set_natural's pre_set_defss) 
49368  807 
> singleton (Proof_Context.export names_lthy lthy) 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

808 
> Thm.close_derivation; 
49337  809 
in 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

810 
`(conj_dests nn) thm 
49337  811 
end; 
49201  812 

49622  813 
val induct_cases = quasi_unambiguous_case_names (maps (map name_of_ctr) ctrss); 
49437  814 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

815 
val (fold_thmss, rec_thmss) = 
49207  816 
let 
49337  817 
val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss; 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

818 
val gfolds = map (lists_bmoc gss) folds; 
49337  819 
val hrecs = map (lists_bmoc hss) recs; 
820 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

821 
fun mk_goal fss frec_like xctr f xs fxs = 
49207  822 
fold_rev (fold_rev Logic.all) (xs :: fss) 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

823 
(mk_Trueprop_eq (frec_like $ xctr, Term.list_comb (f, fxs))); 
49204  824 

49682  825 
fun build_rec_like frec_likes (T, U) = 
49234  826 
if T = U then 
49368  827 
id_const T 
49234  828 
else 
829 
(case find_index (curry (op =) T) fpTs of 

49682  830 
~1 => build_map (build_rec_like frec_likes) T U 
831 
 kk => nth frec_likes kk); 

49233  832 

49682  833 
val mk_U = typ_subst (map2 pair fpTs Cs); 
49214
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset

834 

49682  835 
fun intr_rec_likes frec_likes maybe_cons (x as Free (_, T)) = 
49670
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

836 
if exists_fp_subtype T then 
49682  837 
maybe_cons x [build_rec_like frec_likes (T, mk_U T) $ x] 
49214
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset

838 
else 
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset

839 
[x]; 
2a3cb4c71b87
construct the right iterator theorem in the recursive case
blanchet
parents:
49213
diff
changeset

840 

49682  841 
val gxsss = map (map (maps (intr_rec_likes gfolds (K I)))) xsss; 
842 
val hxsss = map (map (maps (intr_rec_likes hrecs cons))) xsss; 

49204  843 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

844 
val fold_goalss = map5 (map4 o mk_goal gss) gfolds xctrss gss xsss gxsss; 
49484  845 
val rec_goalss = map5 (map4 o mk_goal hss) hrecs xctrss hss xsss hxsss; 
49204  846 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

847 
val fold_tacss = 
49670
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

848 
map2 (map o mk_rec_like_tac pre_map_defs [] nesting_map_ids'' fold_defs) fp_fold_thms 
49363  849 
ctr_defss; 
49203  850 
val rec_tacss = 
49670
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

851 
map2 (map o mk_rec_like_tac pre_map_defs nested_map_comp's 
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

852 
(nested_map_ids'' @ nesting_map_ids'') rec_defs) fp_rec_thms ctr_defss; 
49484  853 

49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

854 
fun prove goal tac = 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

855 
Skip_Proof.prove lthy [] [] goal (tac o #context) 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

856 
> Thm.close_derivation; 
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset

857 
in 
49595
e8c57e59cbf8
got rid of other instance of shaky "Thm.generalize"
blanchet
parents:
49594
diff
changeset

858 
(map2 (map2 prove) fold_goalss fold_tacss, map2 (map2 prove) rec_goalss rec_tacss) 
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset

859 
end; 
49201  860 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

861 
val simp_thmss = mk_simp_thmss wrap_ress rec_thmss fold_thmss; 
49438  862 

49437  863 
val induct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names induct_cases)); 
864 
fun induct_type_attr T_name = Attrib.internal (K (Induct.induct_type T_name)); 

865 

49337  866 
val common_notes = 
49437  867 
(if nn > 1 then [(inductN, [induct_thm], [induct_case_names_attr])] else []) 
49337  868 
> map (fn (thmN, thms, attrs) => 
49633  869 
((qualify true fp_common_name (Binding.name thmN), attrs), [(thms, [])])); 
49337  870 

49226  871 
val notes = 
49633  872 
[(foldN, fold_thmss, K code_simp_attrs), 
873 
(inductN, map single induct_thms, 

49437  874 
fn T_name => [induct_case_names_attr, induct_type_attr T_name]), 
49622  875 
(recN, rec_thmss, K code_simp_attrs), 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

876 
(simpsN, simp_thmss, K [])] 
49300  877 
> maps (fn (thmN, thmss, attrs) => 
49633  878 
map3 (fn fp_b_name => fn Type (T_name, _) => fn thms => 
879 
((qualify true fp_b_name (Binding.name thmN), attrs T_name), 

880 
[(thms, [])])) fp_b_names fpTs thmss); 

49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset

881 
in 
49337  882 
lthy > Local_Theory.notes (common_notes @ notes) > snd 
49202
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset

883 
end; 
f493cd25737f
some work towards iterator and recursor properties
blanchet
parents:
49201
diff
changeset

884 

49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

885 
fun derive_coinduct_unfold_corec_thms_for_types (((ctrss, _, ctr_defss, wrap_ress), (unfolds, 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

886 
corecs, unfold_defs, corec_defs)), lthy) = 
49212  887 
let 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

888 
val nesting_rel_eqs = map rel_eq_of_bnf nesting_bnfs; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

889 

49484  890 
val discss = map (map (mk_disc_or_sel As) o #1) wrap_ress; 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

891 
val selsss = map (map (map (mk_disc_or_sel As)) o #2) wrap_ress; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

892 
val exhaust_thms = map #3 wrap_ress; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

893 
val disc_thmsss = map #7 wrap_ress; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

894 
val discIss = map #8 wrap_ress; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

895 
val sel_thmsss = map #9 wrap_ress; 
49438  896 

49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

897 
val (((rs, us'), vs'), names_lthy) = 
49370  898 
lthy 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

899 
> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs) 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

900 
>> Variable.variant_fixes fp_b_names 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

901 
>> Variable.variant_fixes (map (suffix "'") fp_b_names); 
49370  902 

49498  903 
val us = map2 (curry Free) us' fpTs; 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

904 
val udiscss = map2 (map o rapp) us discss; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

905 
val uselsss = map2 (map o map o rapp) us selsss; 
49370  906 

49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

907 
val vs = map2 (curry Free) vs' fpTs; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

908 
val vdiscss = map2 (map o rapp) vs discss; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

909 
val vselsss = map2 (map o map o rapp) vs selsss; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

910 

91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

911 
val ((coinduct_thms, coinduct_thm), (strong_coinduct_thms, strong_coinduct_thm)) = 
49337  912 
let 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

913 
val uvrs = map3 (fn r => fn u => fn v => r $ u $ v) rs us vs; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

914 
val uv_eqs = map2 (curry HOLogic.mk_eq) us vs; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

915 
val strong_rs = 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

916 
map4 (fn u => fn v => fn uvr => fn uv_eq => 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

917 
fold_rev Term.lambda [u, v] (HOLogic.mk_disj (uvr, uv_eq))) us vs uvrs uv_eqs; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

918 

91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

919 
fun build_rel rs' T = 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

920 
(case find_index (curry (op =) T) fpTs of 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

921 
~1 => 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

922 
if exists_fp_subtype T then build_rel_step (build_rel rs') T 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

923 
else HOLogic.eq_const T 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

924 
 kk => nth rs' kk); 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

925 

91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

926 
fun build_rel_app rs' usel vsel = 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

927 
fold rapp [usel, vsel] (build_rel rs' (fastype_of usel)); 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

928 

91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

929 
fun mk_prem_ctr_concls rs' n k udisc usels vdisc vsels = 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

930 
(if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @ 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

931 
(if null usels then 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

932 
[] 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

933 
else 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

934 
[Library.foldr HOLogic.mk_imp (if n = 1 then [] else [udisc, vdisc], 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

935 
Library.foldr1 HOLogic.mk_conj (map2 (build_rel_app rs') usels vsels))]); 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

936 

91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

937 
fun mk_prem_concl rs' n udiscs uselss vdiscs vselss = 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

938 
Library.foldr1 HOLogic.mk_conj 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

939 
(flat (map5 (mk_prem_ctr_concls rs' n) (1 upto n) udiscs uselss vdiscs vselss)) 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

940 
handle List.Empty => @{term True}; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

941 

91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

942 
fun mk_prem rs' uvr u v n udiscs uselss vdiscs vselss = 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

943 
fold_rev Logic.all [u, v] (Logic.mk_implies (HOLogic.mk_Trueprop uvr, 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

944 
HOLogic.mk_Trueprop (mk_prem_concl rs' n udiscs uselss vdiscs vselss))); 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

945 

91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

946 
val concl = 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

947 
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

948 
(map3 (fn uvr => fn u => fn v => HOLogic.mk_imp (uvr, HOLogic.mk_eq (u, v))) 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

949 
uvrs us vs)); 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

950 

91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

951 
fun mk_goal rs' = 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

952 
Logic.list_implies (map8 (mk_prem rs') uvrs us vs ns udiscss uselsss vdiscss vselsss, 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

953 
concl); 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

954 

91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

955 
val goal = mk_goal rs; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

956 
val strong_goal = mk_goal strong_rs; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

957 

91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

958 
fun prove dtor_coinduct' goal = 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

959 
Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} => 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

960 
mk_coinduct_tac ctxt nesting_rel_eqs nn ns dtor_coinduct' pre_rel_defs dtor_ctors 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

961 
exhaust_thms ctr_defss disc_thmsss sel_thmsss) 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

962 
> singleton (Proof_Context.export names_lthy lthy) 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

963 
> Thm.close_derivation; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

964 

49590  965 
fun postproc nn thm = 
966 
Thm.permute_prems 0 nn 

49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

967 
(if nn = 1 then thm RS mp 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

968 
else funpow nn (fn thm => reassoc_conjs (thm RS mp_conj)) thm) 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

969 
> Drule.zero_var_indexes 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

970 
> `(conj_dests nn); 
49337  971 
in 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

972 
(postproc nn (prove fp_induct goal), postproc nn (prove fp_strong_induct strong_goal)) 
49337  973 
end; 
49212  974 

49484  975 
fun mk_maybe_not pos = not pos ? HOLogic.mk_not; 
976 

977 
val z = the_single zs; 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

978 
val gunfolds = map (lists_bmoc pgss) unfolds; 
49484  979 
val hcorecs = map (lists_bmoc phss) corecs; 
980 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

981 
val (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss) = 
49212  982 
let 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

983 
fun mk_goal pfss c cps fcorec_like n k ctr m cfs' = 
49212  984 
fold_rev (fold_rev Logic.all) ([c] :: pfss) 
49484  985 
(Logic.list_implies (seq_conds (HOLogic.mk_Trueprop oo mk_maybe_not) n k cps, 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

986 
mk_Trueprop_eq (fcorec_like $ c, Term.list_comb (ctr, take m cfs')))); 
49212  987 

49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

988 
fun build_corec_like fcorec_likes maybe_tack (T, U) = 
49234  989 
if T = U then 
49368  990 
id_const T 
49234  991 
else 
992 
(case find_index (curry (op =) U) fpTs of 

49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

993 
~1 => build_map (build_corec_like fcorec_likes maybe_tack) T U 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

994 
 kk => maybe_tack (nth cs kk, nth us kk) (nth fcorec_likes kk)); 
49233  995 

49274
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset

996 
fun mk_U maybe_mk_sumT = 
ddd606ec45b9
first step towards splitting corecursor function arguments into (p, g, h) triples
blanchet
parents:
49273
diff
changeset

997 
typ_subst (map2 (fn C => fn fpT => (maybe_mk_sumT fpT C, fpT)) Cs fpTs); 
49212  998 

49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

999 
fun intr_corec_likes fcorec_likes maybe_mk_sumT maybe_tack cqf = 
49276  1000 
let val T = fastype_of cqf in 
49670
c7a034d01936
changed the type of the recursor for nested recursion
blanchet
parents:
49636
diff
changeset

1001 
if exists_Cs_subtype T then 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

1002 
build_corec_like fcorec_likes maybe_tack (T, mk_U maybe_mk_sumT T) $ cqf 
49276  1003 
else 
1004 
cqf 

1005 
end; 

49232
9ea11f0c53e4
fixed and enabled generation of "coiters" theorems, including the recursive case
blanchet
parents:
49230
diff
changeset

1006 

49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

1007 
val crgsss' = map (map (map (intr_corec_likes gunfolds (K I) (K I)))) crgsss; 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

1008 
val cshsss' = 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

1009 
map (map (map (intr_corec_likes hcorecs (curry mk_sumT) (tack z)))) cshsss; 
49212  1010 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1011 
val unfold_goalss = 
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1012 
map8 (map4 oooo mk_goal pgss) cs cpss gunfolds ns kss ctrss mss crgsss'; 
49484  1013 
val corec_goalss = 
1014 
map8 (map4 oooo mk_goal phss) cs cpss hcorecs ns kss ctrss mss cshsss'; 

49213  1015 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1016 
val unfold_tacss = 
49671  1017 
map3 (map oo mk_corec_like_tac unfold_defs nesting_map_ids'') fp_fold_thms 
1018 
pre_map_defs ctr_defss; 

49233  1019 
val corec_tacss = 
49671  1020 
map3 (map oo mk_corec_like_tac corec_defs nesting_map_ids'') fp_rec_thms pre_map_defs 
49233  1021 
ctr_defss; 
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1022 

49484  1023 
fun prove goal tac = 
1024 
Skip_Proof.prove lthy [] [] goal (tac o #context) > Thm.close_derivation; 

1025 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1026 
val unfold_thmss = map2 (map2 prove) unfold_goalss unfold_tacss; 
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1027 
val corec_thmss = 
49484  1028 
map2 (map2 prove) corec_goalss corec_tacss 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1029 
> map (map (unfold_thms lthy @{thms sum_case_if})); 
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1030 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1031 
val unfold_safesss = map2 (map2 (map2 (curry (op =)))) crgsss' crgsss; 
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1032 
val corec_safesss = map2 (map2 (map2 (curry (op =)))) cshsss' cshsss; 
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1033 

504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1034 
val filter_safesss = 
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1035 
map2 (map_filter (fn (safes, thm) => if forall I safes then SOME thm else NONE) oo 
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1036 
curry (op ~~)); 
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1037 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1038 
val safe_unfold_thmss = filter_safesss unfold_safesss unfold_thmss; 
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1039 
val safe_corec_thmss = filter_safesss corec_safesss corec_thmss; 
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1040 
in 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1041 
(unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss) 
49212  1042 
end; 
1043 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1044 
val (disc_unfold_iff_thmss, disc_corec_iff_thmss) = 
49482  1045 
let 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1046 
fun mk_goal c cps fcorec_like n k disc = 
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1047 
mk_Trueprop_eq (disc $ (fcorec_like $ c), 
49484  1048 
if n = 1 then @{const True} 
1049 
else Library.foldr1 HOLogic.mk_conj (seq_conds mk_maybe_not n k cps)); 

1050 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1051 
val unfold_goalss = map6 (map2 oooo mk_goal) cs cpss gunfolds ns kss discss; 
49484  1052 
val corec_goalss = map6 (map2 oooo mk_goal) cs cpss hcorecs ns kss discss; 
1053 

1054 
fun mk_case_split' cp = 

1055 
Drule.instantiate' [] [SOME (certify lthy cp)] @{thm case_split}; 

1056 

1057 
val case_splitss' = map (map mk_case_split') cpss; 

49482  1058 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1059 
val unfold_tacss = 
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1060 
map3 (map oo mk_disc_corec_like_iff_tac) case_splitss' unfold_thmss disc_thmsss; 
49484  1061 
val corec_tacss = 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1062 
map3 (map oo mk_disc_corec_like_iff_tac) case_splitss' corec_thmss disc_thmsss; 
49484  1063 

1064 
fun prove goal tac = 

1065 
Skip_Proof.prove lthy [] [] goal (tac o #context) 

49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
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1066 
> singleton (Proof_Context.export names_lthy0 no_defs_lthy) 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
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changeset

1067 
> Thm.close_derivation; 
49484  1068 

1069 
fun proves [_] [_] = [] 

1070 
 proves goals tacs = map2 prove goals tacs; 

49482  1071 
in 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset

1072 
(map2 proves unfold_goalss unfold_tacss, 
49484  1073 
map2 proves corec_goalss corec_tacss) 
49482  1074 
end; 
1075 

49605
ea566f5e1724
avoid another brand of trivial "disc_rel" theorems (which made the simplifier loop for all singleconstructor types)
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diff
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1076 
val is_triv_discI = is_triv_implies orf is_concl_refl; 
ea566f5e1724
avoid another brand of trivial "disc_rel" theorems (which made the simplifier loop for all singleconstructor types)
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diff
changeset

1077 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
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diff
changeset

1078 
fun mk_disc_corec_like_thms corec_likes discIs = 
49605
ea566f5e1724
avoid another brand of trivial "disc_rel" theorems (which made the simplifier loop for all singleconstructor types)
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diff
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1079 
map (op RS) (filter_out (is_triv_discI o snd) (corec_likes ~~ discIs)); 
49266  1080 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
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diff
changeset

1081 
val disc_unfold_thmss = map2 mk_disc_corec_like_thms unfold_thmss discIss; 
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diff
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1082 
val disc_corec_thmss = map2 mk_disc_corec_like_thms corec_thmss discIss; 
49266  1083 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
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parents:
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diff
changeset

1084 
fun mk_sel_corec_like_thm corec_like_thm sel sel_thm = 
49266  1085 
let 
49479
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diff
changeset

1086 
val (domT, ranT) = dest_funT (fastype_of sel); 
49266  1087 
val arg_cong' = 
1088 
Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT]) 

49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
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parents:
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diff
changeset

1089 
[NONE, NONE, SOME (certify lthy sel)] arg_cong 
49267
c96a07255e10
correctly generate sel_coiter and sel_corec theorems
blanchet
parents:
49266
diff
changeset

1090 
> Thm.varifyT_global; 
49266  1091 
val sel_thm' = sel_thm RSN (2, trans); 
1092 
in 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
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diff
changeset

1093 
corec_like_thm RS arg_cong' RS sel_thm' 
49266  1094 
end; 
1095 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
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parents:
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diff
changeset

1096 
fun mk_sel_corec_like_thms corec_likess = 
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diff
changeset

1097 
map3 (map3 (map2 o mk_sel_corec_like_thm)) corec_likess selsss sel_thmsss > map flat; 
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
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parents:
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diff
changeset

1098 

49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
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parents:
49502
diff
changeset

1099 
val sel_unfold_thmss = mk_sel_corec_like_thms unfold_thmss; 
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
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parents:
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diff
changeset

1100 
val sel_corec_thmss = mk_sel_corec_like_thms corec_thmss; 
49479
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parents:
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diff
changeset

1101 

49587  1102 
fun flat_corec_like_thms corec_likes disc_corec_likes sel_corec_likes = 
49504
df9b897fb254
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parents:
49502
diff
changeset

1103 
corec_likes @ disc_corec_likes @ sel_corec_likes; 
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
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parents:
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diff
changeset

1104 

504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
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parents:
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diff
changeset

1105 
val simp_thmss = 
504f0a38f608
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parents:
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changeset

1106 
mk_simp_thmss wrap_ress 
49587  1107 
(map3 flat_corec_like_thms safe_corec_thmss disc_corec_thmss sel_corec_thmss) 
1108 
(map3 flat_corec_like_thms safe_unfold_thmss disc_unfold_thmss sel_unfold_thmss); 

49479
504f0a38f608
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parents:
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diff
changeset

1109 

504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1110 
val anonymous_notes = 
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
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parents:
49502
diff
changeset

1111 
[(flat safe_unfold_thmss @ flat safe_corec_thmss, simp_attrs)] 
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
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parents:
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diff
changeset

1112 
> map (fn (thms, attrs) => ((Binding.empty, attrs), [(thms, [])])); 
49266  1113 

49342  1114 
val common_notes = 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
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parents:
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diff
changeset

1115 
(if nn > 1 then 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
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parents:
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diff
changeset

1116 
(* FIXME: attribs *) 
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generate highlevel "coinduct" and "strong_coinduct" properties
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parents:
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diff
changeset

1117 
[(coinductN, [coinduct_thm], []), 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
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parents:
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diff
changeset

1118 
(strong_coinductN, [strong_coinduct_thm], [])] 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
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changeset

1119 
else 
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
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parents:
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diff
changeset

1120 
[]) 
49342  1121 
> map (fn (thmN, thms, attrs) => 
49633  1122 
((qualify true fp_common_name (Binding.name thmN), attrs), [(thms, [])])); 
49342  1123 

49212  1124 
val notes = 
49342  1125 
[(coinductN, map single coinduct_thms, []), (* FIXME: attribs *) 
49594
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
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diff
changeset

1126 
(corecN, corec_thmss, []), 
55e798614c45
tweaked theorem names (in particular, dropped s's)
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parents:
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diff
changeset

1127 
(disc_corecN, disc_corec_thmss, simp_attrs), 
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
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diff
changeset

1128 
(disc_corec_iffN, disc_corec_iff_thmss, simp_attrs), 
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
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diff
changeset

1129 
(disc_unfoldN, disc_unfold_thmss, simp_attrs), 
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
49593
diff
changeset

1130 
(disc_unfold_iffN, disc_unfold_iff_thmss, simp_attrs), 
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
49593
diff
changeset

1131 
(sel_corecN, sel_corec_thmss, simp_attrs), 
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
49593
diff
changeset

1132 
(sel_unfoldN, sel_unfold_thmss, simp_attrs), 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
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diff
changeset

1133 
(simpsN, simp_thmss, []), 
49591
91b228e26348
generate highlevel "coinduct" and "strong_coinduct" properties
blanchet
parents:
49590
diff
changeset

1134 
(strong_coinductN, map single strong_coinduct_thms, []), (* FIXME: attribs *) 
49594
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
49593
diff
changeset

1135 
(unfoldN, unfold_thmss, [])] 
49300  1136 
> maps (fn (thmN, thmss, attrs) => 
49633  1137 
map_filter (fn (_, []) => NONE  (fp_b_name, thms) => 
1138 
SOME ((qualify true fp_b_name (Binding.name thmN), attrs), 

1139 
[(thms, [])])) (fp_b_names ~~ thmss)); 

49212  1140 
in 
49479
504f0a38f608
added "simp"s to coiter/corec theorems + export under "simps" name
blanchet
parents:
49478
diff
changeset

1141 
lthy > Local_Theory.notes (anonymous_notes @ common_notes @ notes) > snd 
49212  1142 
end; 
1143 

49204  1144 
val lthy' = lthy 
49585
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

1145 
> fold_map define_ctrs_case_for_type (fp_bnfs ~~ fp_bs ~~ fpTs ~~ Cs ~~ ctors ~~ dtors ~~ 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
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diff
changeset

1146 
fp_folds ~~ fp_recs ~~ ctor_dtors ~~ dtor_ctors ~~ ctor_injects ~~ pre_map_defs ~~ 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
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diff
changeset

1147 
pre_set_defss ~~ pre_rel_defs ~~ fp_map_thms ~~ fp_set_thmss ~~ fp_rel_thms ~~ ns ~~ kss ~~ 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
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diff
changeset

1148 
mss ~~ ctr_bindingss ~~ ctr_mixfixess ~~ ctr_Tsss ~~ disc_bindingss ~~ sel_bindingsss ~~ 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
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diff
changeset

1149 
raw_sel_defaultsss) 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
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diff
changeset

1150 
> wrap_types_and_more 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
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diff
changeset

1151 
> (if lfp then derive_induct_fold_rec_thms_for_types 
5c4a12550491
generate highlevel "maps", "sets", and "rels" properties
blanchet
parents:
49583
diff
changeset

1152 
else derive_coinduct_unfold_corec_thms_for_types); 
49167  1153 

1154 
val timer = time (timer ("Constructors, discriminators, selectors, etc., for the new " ^ 

49208  1155 
(if lfp then "" else "co") ^ "datatype")); 
49112  1156 
in 
49308
6190b701e4f4
reorganized dependencies so that the sugar does not depend on GFP  this will be essential for bootstrapping
blanchet
parents:
49302
diff
changeset

1157 
timer; lthy' 
49112  1158 
end; 
1159 

49536  1160 
val datatypes = define_datatypes (K I) (K I) (K I); 
49297  1161 
