--- a/Nominal/Ex/CPS/CPS3_DanvyFilinski_FCB2.thy	Sat Dec 17 17:03:01 2011 +0000
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,83 +0,0 @@
-header {* CPS transformation of Danvy and Filinski *}
-theory CPS3_DanvyFilinski imports Lt begin
-
-nominal_primrec
-  CPS1 :: "lt \<Rightarrow> (lt \<Rightarrow> lt) \<Rightarrow> lt" ("_*_"  [100,100] 100)
-and
-  CPS2 :: "lt \<Rightarrow> lt \<Rightarrow> lt" ("_^_" [100,100] 100)
-where
-  "eqvt k \<Longrightarrow> (x~)*k = k (x~)"
-| "eqvt k \<Longrightarrow> (M$N)*k = M*(%m. (N*(%n.((m $ n) $ (Lam c (k (c~)))))))"
-| "eqvt k \<Longrightarrow> atom c \<sharp> (x, M) \<Longrightarrow> (Lam x M)*k = k (Lam x (Lam c (M^(c~))))"
-| "\<not>eqvt k \<Longrightarrow> (CPS1 t k) = t"
-| "(x~)^l = l $ (x~)"
-| "(M$N)^l = M*(%m. (N*(%n.((m $ n) $ l))))"
-| "atom c \<sharp> (x, M) \<Longrightarrow> (Lam x M)^l = l $ (Lam x (Lam c (M^(c~))))"
-  apply (simp only: eqvt_def CPS1_CPS2_graph_def)
-  apply (rule, perm_simp, rule)
-  apply auto
-  apply (case_tac x)
-  apply (case_tac a)
-  apply (case_tac "eqvt b")
-  apply (rule_tac y="aa" in lt.strong_exhaust)
-  apply auto[4]
-  apply (rule_tac x="(name, lt)" and ?'a="name" in obtain_fresh)
-  apply (simp add: fresh_at_base Abs1_eq_iff)
-  apply (case_tac b)
-  apply (rule_tac y="a" in lt.strong_exhaust)
-  apply auto[3]
-  apply blast
-  apply (rule_tac x="(name, lt)" and ?'a="name" in obtain_fresh) 
-  apply (simp add: fresh_at_base Abs1_eq_iff)
-  apply blast
---"-"
-  apply (subgoal_tac "Lam c (ka (c~)) = Lam ca (ka (ca~))")
-  apply (simp only:)
-  apply (simp add: Abs1_eq_iff)
-  apply (case_tac "c=ca")
-  apply simp_all[2]
-  apply rule
-  apply (perm_simp)
-  apply (simp add: eqvt_def)
-  apply (simp add: fresh_def)
-  apply (rule contra_subsetD[OF supp_fun_app])
-  back
-  apply (simp add: supp_fun_eqvt lt.supp supp_at_base)
---"-"
-  apply (rule arg_cong)
-  back
-  apply (thin_tac "eqvt ka")
-  apply (rule_tac x="(c, ca, x, xa, M, Ma)" and ?'a="name" in obtain_fresh)
-  apply (subgoal_tac "Lam c (CPS1_CPS2_sumC (Inr (M, c~))) = Lam a (CPS1_CPS2_sumC (Inr (M, a~)))")
-  prefer 2
-  apply (simp add: Abs1_eq_iff')
-  apply (case_tac "c = a")
-  apply simp_all[2]
-  apply rule
-  apply (simp add: eqvt_at_def)
-  apply (simp add: swap_fresh_fresh fresh_Pair_elim)
-  apply (erule fresh_eqvt_at)
-  apply (simp add: supp_Inr finite_supp)
-  apply (simp add: fresh_Inr fresh_Pair lt.fresh fresh_at_base)
-  apply (subgoal_tac "Lam ca (CPS1_CPS2_sumC (Inr (Ma, ca~))) = Lam a (CPS1_CPS2_sumC (Inr (Ma, a~)))")
-  prefer 2
-  apply (simp add: Abs1_eq_iff')
-  apply (case_tac "ca = a")
-  apply simp_all[2]
-  apply rule
-  apply (simp add: eqvt_at_def)
-  apply (simp add: swap_fresh_fresh fresh_Pair_elim)
-  apply (erule fresh_eqvt_at)
-  apply (simp add: supp_Inr finite_supp)
-  apply (simp add: fresh_Inr fresh_Pair lt.fresh fresh_at_base)
-  apply (simp only:)
-  apply (simp (no_asm))
-  apply (erule_tac c="a" in Abs_lst1_fcb2')
-  apply (simp add: Abs_fresh_iff lt.fresh)
-  apply (simp add: fresh_star_def fresh_Pair_elim lt.fresh fresh_at_base)
-  oops
-
-end
-
-
-