diff -r 7430e07a5d61 -r 86e3b39c2a60 Nominal/Nominal2.thy --- a/Nominal/Nominal2.thy Sun Dec 12 00:10:40 2010 +0000 +++ b/Nominal/Nominal2.thy Sun Dec 12 22:09:11 2010 +0000 @@ -18,60 +18,104 @@ text {* TEST *} ML {* -fun strip_prems_concl trm = - (Logic.strip_imp_prems trm, Logic.strip_imp_concl trm) +fun list_implies_rev concl trms = Logic.list_implies (trms, concl) + +fun mk_all (a, T) t = Const ("all", (T --> propT) --> propT) $ Abs (a, T, t) + +fun strip_prems_concl (Const("==>", _) $ A $ B) = strip_prems_concl B |>> cons A + | strip_prems_concl B = ([], B) fun strip_outer_params (Const("all", _) $ Abs (a, T, t)) = strip_outer_params t |>> cons (a, T) | strip_outer_params B = ([], B) + +fun strip_params_prems_concl trm = + let + val (params, body) = strip_outer_params trm + val (prems, concl) = strip_prems_concl body + in + (params, prems, concl) + end + +fun list_params_prems_concl params prems concl = + Logic.list_implies (prems, concl) + |> fold_rev mk_all params + + +fun mk_binop_env tys c (t, u) = + let val ty = fastype_of1 (tys, t) in + Const (c, [ty, ty] ---> ty) $ t $ u + end + +fun mk_union_env tys (t1, @{term "{}::atom set"}) = t1 + | mk_union_env tys (@{term "{}::atom set"}, t2) = t2 + | mk_union_env tys (t1, @{term "set ([]::atom list)"}) = t1 + | mk_union_env tys (@{term "set ([]::atom list)"}, t2) = t2 + | mk_union_env tys (t1, t2) = mk_binop_env tys @{const_name "sup"} (t1, t2) + +fun fold_union_env tys trms = fold_rev (curry (mk_union_env tys)) trms @{term "{}::atom set"} + *} ML {* -fun binders bclauses = +fun process_ecase lthy c (params, prems, concl) bclauses = let - fun aux1 (NONE, i) = Bound i - | aux1 (SOME bn, i) = bn $ Bound i + fun binder tys (opt, i) = + let + val t = Bound (length tys - i - 1) + in + case opt of + NONE => setify_ty lthy (nth tys i) t + | SOME bn => to_set_ty (fastype_of1 (tys, bn $ t)) (bn $ t) + end + + val param_tys = map snd params + + val fresh_prem = + case (get_all_binders bclauses) of + [] => [] (* case: no binders *) + | binders => binders (* case: binders *) + |> map (binder param_tys) + |> fold_union_env param_tys + |> (fn t => mk_fresh_star t c) + |> HOLogic.mk_Trueprop + |> single in - bclauses - |> map (fn (BC (_, x, _)) => x) - |> flat - |> map aux1 - end + list_params_prems_concl params (fresh_prem @ prems) concl + end *} + ML {* -fun prove_strong_exhausts lthy qexhausts qtrms bclausess = +fun mk_strong_exhausts_goal lthy qexhausts bclausesss = let val ((_, qexhausts'), lthy') = Variable.import true qexhausts lthy val ([c, a], lthy'') = Variable.variant_fixes ["c", "'a"] lthy' val c = Free (c, TFree (a, @{sort fs})) - val (cses, main_concls) = qexhausts' + val (ecases, main_concls) = qexhausts' |> map prop_of |> map strip_prems_concl |> split_list + |>> map (map strip_params_prems_concl) + in + map2 (map2 (process_ecase lthy'' c)) ecases bclausesss + |> map2 list_implies_rev main_concls + |> rpair lthy'' + end - fun process_case cse bclauses = - let - val (params, (body, concl)) = cse - |> strip_outer_params - ||> Logic.dest_implies - - (*val bnds = HOLogic.mk_tuple (binders bclauses)*) - val prem = HOLogic.mk_Trueprop (HOLogic.mk_eq (c, c)) - in - Logic.mk_implies (prem, Logic.mk_implies (body, concl)) - end - - val cses' = map2 (map2 process_case) cses bclausess - |> map (map (Syntax.string_of_term lthy'')) - |> map commas +fun prove_strong_exhausts lthy qexhausts qtrms bclausesss = + let + val (goal, lthy') = mk_strong_exhausts_goal lthy qexhausts bclausesss + + val _ = goal + |> map (Syntax.check_term lthy') + |> map (Syntax.string_of_term lthy') |> cat_lines - - val _ = tracing ("cases\n " ^ cses') + |> tracing in - () + @{thms TrueI} end *} @@ -230,9 +274,6 @@ then define_raw_dts dts bn_funs bn_eqs bclauses lthy else raise TEST lthy - val _ = tracing ("bclauses\n" ^ cat_lines (map @{make_string} bclauses)) - val _ = tracing ("raw_bclauses\n" ^ cat_lines (map @{make_string} raw_bclauses)) - val dtinfo = Datatype.the_info (ProofContext.theory_of lthy0) (hd raw_dt_names) val {descr, sorts, ...} = dtinfo