src/HOL/Bali/AxExample.thy
changeset 55143 04448228381d
parent 51717 9e7d1c139569
child 55151 f331472f1027
--- a/src/HOL/Bali/AxExample.thy	Sat Jan 25 21:52:04 2014 +0100
+++ b/src/HOL/Bali/AxExample.thy	Sat Jan 25 22:06:07 2014 +0100
@@ -41,9 +41,9 @@
 declare lvar_def [simp]
 
 ML {*
-fun inst1_tac ctxt s t st =
+fun inst1_tac ctxt s t xs st =
   case AList.lookup (op =) (rev (Term.add_var_names (Thm.prop_of st) [])) s of
-  SOME i => instantiate_tac ctxt [((s, i), t)] st | NONE => Seq.empty;
+  SOME i => instantiate_tac ctxt [((s, i), t)] xs st | NONE => Seq.empty;
 
 val ax_tac =
   REPEAT o rtac allI THEN'
@@ -64,7 +64,7 @@
 apply  (tactic "ax_tac 1" (* Try *))
 defer
 apply    (tactic {* inst1_tac @{context} "Q" 
-                 "\<lambda>Y s Z. arr_inv (snd s) \<and> tprg,s\<turnstile>catch SXcpt NullPointer" *})
+                 "\<lambda>Y s Z. arr_inv (snd s) \<and> tprg,s\<turnstile>catch SXcpt NullPointer" [] *})
 prefer 2
 apply    simp
 apply   (rule_tac P' = "Normal (\<lambda>Y s Z. arr_inv (snd s))" in conseq1)
@@ -83,7 +83,7 @@
 apply   (tactic "ax_tac 1" (* AVar *))
 prefer 2
 apply    (rule ax_subst_Val_allI)
-apply    (tactic {* inst1_tac @{context} "P'" "\<lambda>a. Normal (?PP a\<leftarrow>?x)" *})
+apply    (tactic {* inst1_tac @{context} "P'" "\<lambda>a. Normal (PP a\<leftarrow>x)" ["PP", "x"] *})
 apply    (simp del: avar_def2 peek_and_def2)
 apply    (tactic "ax_tac 1")
 apply   (tactic "ax_tac 1")
@@ -124,7 +124,7 @@
 apply      (tactic "ax_tac 1") (* Ass *)
 prefer 2
 apply       (rule ax_subst_Var_allI)
-apply       (tactic {* inst1_tac @{context} "P'" "\<lambda>a vs l vf. ?PP a vs l vf\<leftarrow>?x \<and>. ?p" *})
+apply       (tactic {* inst1_tac @{context} "P'" "\<lambda>a vs l vf. PP a vs l vf\<leftarrow>x \<and>. p" ["PP", "x", "p"] *})
 apply       (rule allI)
 apply       (tactic {* simp_tac (@{context} delloop "split_all_tac" delsimps [@{thm peek_and_def2}, @{thm heap_def2}, @{thm subst_res_def2}, @{thm normal_def2}]) 1 *})
 apply       (rule ax_derivs.Abrupt)
@@ -132,17 +132,17 @@
 apply      (tactic "ax_tac 1" (* FVar *))
 apply       (tactic "ax_tac 2", tactic "ax_tac 2", tactic "ax_tac 2")
 apply      (tactic "ax_tac 1")
-apply     (tactic {* inst1_tac @{context} "R" "\<lambda>a'. Normal ((\<lambda>Vals:vs (x, s) Z. arr_inv s \<and> inited Ext (globs s) \<and> a' \<noteq> Null \<and> vs = [Null]) \<and>. heap_free two)" *})
+apply     (tactic {* inst1_tac @{context} "R" "\<lambda>a'. Normal ((\<lambda>Vals:vs (x, s) Z. arr_inv s \<and> inited Ext (globs s) \<and> a' \<noteq> Null \<and> vs = [Null]) \<and>. heap_free two)" [] *})
 apply     fastforce
 prefer 4
 apply    (rule ax_derivs.Done [THEN conseq1],force)
 apply   (rule ax_subst_Val_allI)
-apply   (tactic {* inst1_tac @{context} "P'" "\<lambda>a. Normal (?PP a\<leftarrow>?x)" *})
+apply   (tactic {* inst1_tac @{context} "P'" "\<lambda>a. Normal (PP a\<leftarrow>x)" ["PP", "x"] *})
 apply   (simp (no_asm) del: peek_and_def2 heap_free_def2 normal_def2 o_apply)
 apply   (tactic "ax_tac 1")
 prefer 2
 apply   (rule ax_subst_Val_allI)
-apply    (tactic {* inst1_tac @{context} "P'" "\<lambda>aa v. Normal (?QQ aa v\<leftarrow>?y)" *})
+apply    (tactic {* inst1_tac @{context} "P'" "\<lambda>aa v. Normal (QQ aa v\<leftarrow>y)" ["QQ", "y"] *})
 apply    (simp del: peek_and_def2 heap_free_def2 normal_def2)
 apply    (tactic "ax_tac 1")
 apply   (tactic "ax_tac 1")
@@ -161,7 +161,7 @@
 apply (tactic "ax_tac 1")
 defer
 apply  (rule ax_subst_Var_allI)
-apply  (tactic {* inst1_tac @{context} "P'" "\<lambda>vf. Normal (?PP vf \<and>. ?p)" *})
+apply  (tactic {* inst1_tac @{context} "P'" "\<lambda>vf. Normal (PP vf \<and>. p)" ["PP", "p"] *})
 apply  (simp (no_asm) del: split_paired_All peek_and_def2 initd_def2 heap_free_def2 normal_def2)
 apply  (tactic "ax_tac 1" (* NewC *))
 apply  (tactic "ax_tac 1" (* ax_Alloc *))
@@ -189,18 +189,18 @@
 apply     (tactic "ax_tac 1")
 apply     (tactic "ax_tac 1")
 apply     (rule_tac [2] ax_subst_Var_allI)
-apply      (tactic {* inst1_tac @{context} "P'" "\<lambda>vf l vfa. Normal (?P vf l vfa)" *})
+apply      (tactic {* inst1_tac @{context} "P'" "\<lambda>vf l vfa. Normal (P vf l vfa)" ["P"] *})
 apply     (tactic {* simp_tac (@{context} delloop "split_all_tac" delsimps [@{thm split_paired_All}, @{thm peek_and_def2}, @{thm heap_free_def2}, @{thm initd_def2}, @{thm normal_def2}, @{thm supd_lupd}]) 2 *})
 apply      (tactic "ax_tac 2" (* NewA *))
 apply       (tactic "ax_tac 3" (* ax_Alloc_Arr *))
 apply       (tactic "ax_tac 3")
-apply      (tactic {* inst1_tac @{context} "P" "\<lambda>vf l vfa. Normal (?P vf l vfa\<leftarrow>\<diamondsuit>)" *})
+apply      (tactic {* inst1_tac @{context} "P" "\<lambda>vf l vfa. Normal (P vf l vfa\<leftarrow>\<diamondsuit>)" ["P"] *})
 apply      (tactic {* simp_tac (@{context} delloop "split_all_tac") 2 *})
 apply      (tactic "ax_tac 2")
 apply     (tactic "ax_tac 1" (* FVar *))
 apply      (tactic "ax_tac 2" (* StatRef *))
 apply     (rule ax_derivs.Done [THEN conseq1])
-apply     (tactic {* inst1_tac @{context} "Q" "\<lambda>vf. Normal ((\<lambda>Y s Z. vf=lvar (VName e) (snd s)) \<and>. heap_free four \<and>. initd Base \<and>. initd Ext)" *})
+apply     (tactic {* inst1_tac @{context} "Q" "\<lambda>vf. Normal ((\<lambda>Y s Z. vf=lvar (VName e) (snd s)) \<and>. heap_free four \<and>. initd Base \<and>. initd Ext)" [] *})
 apply     (clarsimp split del: split_if)
 apply     (frule atleast_free_weaken [THEN atleast_free_weaken])
 apply     (drule initedD)
@@ -210,9 +210,9 @@
 apply   (rule ax_triv_Init_Object [THEN peek_and_forget2, THEN conseq1])
 apply     (rule wf_tprg)
 apply    clarsimp
-apply   (tactic {* inst1_tac @{context} "P" "\<lambda>vf. Normal ((\<lambda>Y s Z. vf = lvar (VName e) (snd s)) \<and>. heap_free four \<and>. initd Ext)" *})
+apply   (tactic {* inst1_tac @{context} "P" "\<lambda>vf. Normal ((\<lambda>Y s Z. vf = lvar (VName e) (snd s)) \<and>. heap_free four \<and>. initd Ext)" [] *})
 apply   clarsimp
-apply  (tactic {* inst1_tac @{context} "PP" "\<lambda>vf. Normal ((\<lambda>Y s Z. vf = lvar (VName e) (snd s)) \<and>. heap_free four \<and>. Not \<circ> initd Base)" *})
+apply  (tactic {* inst1_tac @{context} "PP" "\<lambda>vf. Normal ((\<lambda>Y s Z. vf = lvar (VName e) (snd s)) \<and>. heap_free four \<and>. Not \<circ> initd Base)" [] *})
 apply  clarsimp
      (* end init *)
 apply (rule conseq1)
@@ -244,7 +244,7 @@
 apply  clarsimp
 apply (tactic "ax_tac 1" (* If *))
 apply  (tactic 
-  {* inst1_tac @{context} "P'" "Normal (\<lambda>s.. (\<lambda>Y s Z. True)\<down>=Val (the (locals s i)))" *})
+  {* inst1_tac @{context} "P'" "Normal (\<lambda>s.. (\<lambda>Y s Z. True)\<down>=Val (the (locals s i)))" [] *})
 apply  (tactic "ax_tac 1")
 apply  (rule conseq1)
 apply   (tactic "ax_tac 1")
@@ -265,7 +265,7 @@
 apply  (tactic "ax_tac 1")
 prefer 2
 apply   (rule ax_subst_Var_allI)
-apply   (tactic {* inst1_tac @{context} "P'" "\<lambda>b Y ba Z vf. \<lambda>Y (x,s) Z. x=None \<and> snd vf = snd (lvar i s)" *})
+apply   (tactic {* inst1_tac @{context} "P'" "\<lambda>b Y ba Z vf. \<lambda>Y (x,s) Z. x=None \<and> snd vf = snd (lvar i s)" [] *})
 apply   (rule allI)
 apply   (rule_tac P' = "Normal ?P" in conseq1)
 prefer 2