--- a/src/HOL/Auth/NS_Public_Bad.ML Wed May 07 12:50:26 1997 +0200
+++ b/src/HOL/Auth/NS_Public_Bad.ML Wed May 07 13:01:43 1997 +0200
@@ -16,15 +16,12 @@
proof_timing:=true;
HOL_quantifiers := false;
-val op addss = op unsafe_addss;
-
AddIffs [Spy_in_lost];
(*Replacing the variable by a constant improves search speed by 50%!*)
val Says_imp_sees_Spy' =
read_instantiate_sg (sign_of thy) [("lost","lost")] Says_imp_sees_Spy;
-
(*A "possibility property": there are traces that reach the end*)
goal thy
"!!A B. A ~= B ==> EX NB. EX evs: ns_public. \
@@ -46,17 +43,6 @@
AddSEs [not_Says_to_self RSN (2, rev_notE)];
-(*For proving the easier theorems about X ~: parts (sees lost Spy evs) *)
-fun parts_induct_tac i = SELECT_GOAL
- (DETERM (etac ns_public.induct 1 THEN
- (*Fake message*)
- TRY (best_tac (!claset addDs [impOfSubs analz_subset_parts,
- impOfSubs Fake_parts_insert]
- addss (!simpset)) 2)) THEN
- (*Base case*)
- fast_tac (!claset addss (!simpset)) 1 THEN
- ALLGOALS Asm_simp_tac) i;
-
(** Theorems of the form X ~: parts (sees lost Spy evs) imply that NOBODY
sends messages containing X! **)
@@ -64,8 +50,9 @@
goal thy
"!!evs. evs : ns_public \
\ ==> (Key (priK A) : parts (sees lost Spy evs)) = (A : lost)";
-by (parts_induct_tac 1);
-by (Auto_tac());
+by (etac ns_public.induct 1);
+by (prove_simple_subgoals_tac 1);
+by (Fake_parts_insert_tac 1);
qed "Spy_see_priK";
Addsimps [Spy_see_priK];
@@ -78,7 +65,7 @@
goal thy "!!A. [| Key (priK A) : parts (sees lost Spy evs); \
\ evs : ns_public |] ==> A:lost";
-by (fast_tac (!claset addDs [Spy_see_priK]) 1);
+by (blast_tac (!claset addDs [Spy_see_priK]) 1);
qed "Spy_see_priK_D";
bind_thm ("Spy_analz_priK_D", analz_subset_parts RS subsetD RS Spy_see_priK_D);
@@ -86,7 +73,7 @@
fun analz_induct_tac i =
- etac ns_public.induct i THEN
+ etac ns_public.induct i THEN
ALLGOALS (asm_simp_tac
(!simpset addsimps [not_parts_not_analz]
setloop split_tac [expand_if]));
@@ -105,16 +92,15 @@
by (etac rev_mp 1);
by (analz_induct_tac 1);
(*NS3*)
-by (fast_tac (!claset addSEs partsEs) 4);
+by (blast_tac (!claset addSEs partsEs) 4);
(*NS2*)
-by (fast_tac (!claset addSEs partsEs) 3);
+by (blast_tac (!claset addSEs partsEs) 3);
(*Fake*)
-by (deepen_tac (!claset addSIs [analz_insertI]
+by (blast_tac (!claset addSIs [analz_insertI]
addDs [impOfSubs analz_subset_parts,
- impOfSubs Fake_parts_insert]
- addss (!simpset)) 0 2);
+ impOfSubs Fake_parts_insert]) 2);
(*Base*)
-by (fast_tac (!claset addss (!simpset)) 1);
+by (Blast_tac 1);
qed "no_nonce_NS1_NS2";
@@ -129,17 +115,16 @@
(*NS1*)
by (simp_tac (!simpset addsimps [all_conj_distrib]) 3);
by (expand_case_tac "NA = ?y" 3 THEN
- REPEAT (fast_tac (!claset addSEs partsEs) 3));
+ REPEAT (blast_tac (!claset addSEs partsEs) 3));
(*Base*)
-by (fast_tac (!claset addss (!simpset)) 1);
+by (Blast_tac 1);
(*Fake*)
by (simp_tac (!simpset addsimps [all_conj_distrib, parts_insert_sees]) 1);
by (step_tac (!claset addSIs [analz_insertI]) 1);
by (ex_strip_tac 1);
-by (best_tac (!claset delrules [conjI]
+by (blast_tac (!claset delrules [conjI]
addSDs [impOfSubs Fake_parts_insert]
- addDs [impOfSubs analz_subset_parts]
- addss (!simpset)) 1);
+ addDs [impOfSubs analz_subset_parts]) 1);
val lemma = result();
goal thy
@@ -160,15 +145,15 @@
by (etac rev_mp 1);
by (analz_induct_tac 1);
(*NS3*)
-by (fast_tac (!claset addSDs [Says_imp_sees_Spy' RS parts.Inj]
- addEs [no_nonce_NS1_NS2 RSN (2, rev_notE)]) 4);
+by (blast_tac (!claset addDs [Says_imp_sees_Spy' RS parts.Inj]
+ addEs [no_nonce_NS1_NS2 RSN (2, rev_notE)]) 4);
(*NS2*)
-by (deepen_tac (!claset addSDs [Says_imp_sees_Spy' RS parts.Inj]
- addSEs [MPair_parts]
- addDs [parts.Body, unique_NA]) 0 3);
+by (blast_tac (!claset addSEs [MPair_parts]
+ addDs [Says_imp_sees_Spy' RS parts.Inj,
+ parts.Body, unique_NA]) 3);
(*NS1*)
-by (fast_tac (!claset addSEs sees_Spy_partsEs
- addIs [impOfSubs analz_subset_parts]) 2);
+by (blast_tac (!claset addSEs sees_Spy_partsEs
+ addIs [impOfSubs analz_subset_parts]) 2);
(*Fake*)
by (spy_analz_tac 1);
qed "Spy_not_see_NA";
@@ -187,20 +172,15 @@
by (etac ns_public.induct 1);
by (ALLGOALS Asm_simp_tac);
(*NS1*)
-by (fast_tac (!claset addSEs sees_Spy_partsEs) 2);
+by (blast_tac (!claset addSEs sees_Spy_partsEs) 2);
(*Fake*)
-by (REPEAT_FIRST (resolve_tac [impI, conjI]));
-by (fast_tac (!claset addss (!simpset)) 1);
-by (forward_tac [Spy_not_see_NA] 1 THEN REPEAT (assume_tac 1));
-by (best_tac (!claset addSIs [disjI2]
- addSDs [impOfSubs Fake_parts_insert]
- addDs [impOfSubs analz_subset_parts]
- addss (!simpset)) 1);
-(*NS2*)
+by (blast_tac (!claset addSDs [impOfSubs Fake_parts_insert]
+ addDs [Spy_not_see_NA,
+ impOfSubs analz_subset_parts]) 1);
+(*NS2; not clear why blast_tac needs to be preceeded by Step_tac*)
by (Step_tac 1);
-by (forward_tac [Spy_not_see_NA] 1 THEN REPEAT (assume_tac 1));
-by (deepen_tac (!claset addSDs [Says_imp_sees_Spy' RS parts.Inj]
- addDs [unique_NA]) 1 1);
+by (blast_tac (!claset addDs [Says_imp_sees_Spy' RS parts.Inj,
+ Spy_not_see_NA, unique_NA]) 1);
qed "A_trusts_NS2";
(*If the encrypted message appears then it originated with Alice in NS1*)
@@ -213,14 +193,12 @@
by (etac rev_mp 1);
by (analz_induct_tac 1);
(*Fake*)
-by (best_tac (!claset addSIs [disjI2]
- addSDs [impOfSubs Fake_parts_insert]
- addIs [analz_insertI]
- addDs [impOfSubs analz_subset_parts]
- addss (!simpset)) 2);
+by (blast_tac (!claset addSDs [impOfSubs Fake_parts_insert]
+ addIs [analz_insertI]
+ addDs [impOfSubs analz_subset_parts]) 2);
(*Base*)
-by (fast_tac (!claset addss (!simpset)) 1);
-qed_spec_mp "B_trusts_NS1";
+by (Blast_tac 1);
+qed "B_trusts_NS1";
@@ -238,17 +216,16 @@
(*NS2*)
by (simp_tac (!simpset addsimps [all_conj_distrib]) 3);
by (expand_case_tac "NB = ?y" 3 THEN
- REPEAT (fast_tac (!claset addSEs partsEs) 3));
+ REPEAT (blast_tac (!claset addSEs partsEs) 3));
(*Base*)
-by (fast_tac (!claset addss (!simpset)) 1);
+by (Blast_tac 1);
(*Fake*)
by (simp_tac (!simpset addsimps [all_conj_distrib, parts_insert_sees]) 1);
by (step_tac (!claset addSIs [analz_insertI]) 1);
by (ex_strip_tac 1);
-by (best_tac (!claset delrules [conjI]
+by (blast_tac (!claset delrules [conjI]
addSDs [impOfSubs Fake_parts_insert]
- addDs [impOfSubs analz_subset_parts]
- addss (!simpset)) 1);
+ addDs [impOfSubs analz_subset_parts]) 1);
val lemma = result();
goal thy
@@ -271,22 +248,21 @@
by (etac rev_mp 1);
by (analz_induct_tac 1);
(*NS1*)
-by (fast_tac (!claset addSEs sees_Spy_partsEs) 2);
+by (blast_tac (!claset addSEs sees_Spy_partsEs) 2);
(*Fake*)
by (spy_analz_tac 1);
(*NS2 and NS3*)
by (ALLGOALS (asm_simp_tac (!simpset addsimps [all_conj_distrib])));
by (step_tac (!claset delrules [allI]) 1);
-by (Fast_tac 5);
-by (fast_tac (!claset addSIs [impOfSubs analz_subset_parts]) 1);
+by (Blast_tac 5);
+(*NS3*)
+by (blast_tac (!claset addDs [Says_imp_sees_Spy' RS parts.Inj,
+ Spy_not_see_NB, unique_NB]) 4);
(*NS2*)
-by (fast_tac (!claset addSEs sees_Spy_partsEs) 2);
-by (fast_tac (!claset addSDs [Says_imp_sees_Spy' RS parts.Inj]
- addEs [no_nonce_NS1_NS2 RSN (2, rev_notE)]) 1);
-(*NS3*)
-by (forw_inst_tac [("A'","A")] (Says_imp_sees_Spy' RS parts.Inj RS unique_NB) 1
- THEN REPEAT (eresolve_tac [asm_rl, Says_imp_sees_Spy' RS parts.Inj] 1));
-by (Fast_tac 1);
+by (blast_tac (!claset addSEs sees_Spy_partsEs) 3);
+by (blast_tac (!claset addSDs [Says_imp_sees_Spy' RS parts.Inj]
+ addEs [no_nonce_NS1_NS2 RSN (2, rev_notE)]) 2);
+by (blast_tac (!claset addSIs [impOfSubs analz_subset_parts]) 1);
qed "Spy_not_see_NB";
@@ -305,22 +281,15 @@
by (analz_induct_tac 1);
by (ALLGOALS (asm_simp_tac (!simpset addsimps [ex_disj_distrib])));
(*NS1*)
-by (fast_tac (!claset addSEs sees_Spy_partsEs) 2);
+by (blast_tac (!claset addSEs sees_Spy_partsEs) 2);
(*Fake*)
-by (REPEAT_FIRST (resolve_tac [impI, conjI]));
-by (fast_tac (!claset addss (!simpset)) 1);
-by (rtac (ccontr RS disjI2) 1);
-by (forward_tac [Spy_not_see_NB] 1 THEN (REPEAT_FIRST assume_tac)
- THEN Fast_tac 1);
-by (best_tac (!claset addSDs [impOfSubs Fake_parts_insert]
- addDs [impOfSubs analz_subset_parts]
- addss (!simpset)) 1);
-(*NS3*)
+by (blast_tac (!claset addSDs [impOfSubs Fake_parts_insert]
+ addDs [Spy_not_see_NB,
+ impOfSubs analz_subset_parts]) 1);
+(*NS3; not clear why blast_tac needs to be preceeded by Step_tac*)
by (Step_tac 1);
-by (forward_tac [Spy_not_see_NB] 1 THEN (REPEAT_FIRST assume_tac)
- THEN Fast_tac 1);
-by (best_tac (!claset addSDs [Says_imp_sees_Spy' RS parts.Inj]
- addDs [unique_NB]) 1);
+by (blast_tac (!claset addDs [Says_imp_sees_Spy' RS parts.Inj,
+ Spy_not_see_NB, unique_NB]) 1);
qed "B_trusts_NS3";
@@ -331,18 +300,18 @@
\ --> Nonce NB ~: analz (sees lost Spy evs)";
by (analz_induct_tac 1);
(*NS1*)
-by (fast_tac (!claset addSEs partsEs
- addSDs [Says_imp_sees_Spy' RS parts.Inj]) 2);
+by (blast_tac (!claset addSEs partsEs
+ addSDs [Says_imp_sees_Spy' RS parts.Inj]) 2);
(*Fake*)
by (spy_analz_tac 1);
(*NS2 and NS3*)
by (Step_tac 1);
-by (fast_tac (!claset addSIs [impOfSubs analz_subset_parts, usedI]) 1);
+by (blast_tac (!claset addSIs [impOfSubs analz_subset_parts, usedI]) 1);
(*NS2*)
-by (fast_tac (!claset addSEs partsEs
- addSDs [Says_imp_sees_Spy' RS parts.Inj]) 2);
-by (fast_tac (!claset addSDs [Says_imp_sees_Spy' RS parts.Inj]
- addEs [no_nonce_NS1_NS2 RSN (2, rev_notE)]) 1);
+by (blast_tac (!claset addSEs partsEs
+ addSDs [Says_imp_sees_Spy' RS parts.Inj]) 2);
+by (blast_tac (!claset addSDs [Says_imp_sees_Spy' RS parts.Inj]
+ addEs [no_nonce_NS1_NS2 RSN (2, rev_notE)]) 1);
(*NS3*)
by (forw_inst_tac [("A'","A")] (Says_imp_sees_Spy' RS parts.Inj RS unique_NB) 1
THEN REPEAT (eresolve_tac [asm_rl, Says_imp_sees_Spy' RS parts.Inj] 1));