--- a/src/HOL/Auth/NS_Public_Bad.ML Wed Jun 24 10:33:42 1998 +0200
+++ b/src/HOL/Auth/NS_Public_Bad.ML Wed Jun 24 11:24:52 1998 +0200
@@ -23,7 +23,7 @@
AddIffs [Spy_in_bad];
(*A "possibility property": there are traces that reach the end*)
-goal thy
+Goal
"!!A B. A ~= B ==> EX NB. EX evs: ns_public. \
\ Says A B (Crypt (pubK B) (Nonce NB)) : set evs";
by (REPEAT (resolve_tac [exI,bexI] 1));
@@ -35,7 +35,7 @@
(**** Inductive proofs about ns_public ****)
(*Nobody sends themselves messages*)
-goal thy "!!evs. evs : ns_public ==> ALL A X. Says A A X ~: set evs";
+Goal "!!evs. evs : ns_public ==> ALL A X. Says A A X ~: set evs";
by (etac ns_public.induct 1);
by Auto_tac;
qed_spec_mp "not_Says_to_self";
@@ -58,14 +58,14 @@
sends messages containing X! **)
(*Spy never sees another agent's private key! (unless it's bad at start)*)
-goal thy
+Goal
"!!A. evs: ns_public ==> (Key (priK A) : parts (spies evs)) = (A : bad)";
by (parts_induct_tac 1);
by (Blast_tac 1);
qed "Spy_see_priK";
Addsimps [Spy_see_priK];
-goal thy
+Goal
"!!A. evs: ns_public ==> (Key (priK A) : analz (spies evs)) = (A : bad)";
by Auto_tac;
qed "Spy_analz_priK";
@@ -79,7 +79,7 @@
(*It is impossible to re-use a nonce in both NS1 and NS2, provided the nonce
is secret. (Honest users generate fresh nonces.)*)
-goal thy
+Goal
"!!evs. [| Crypt (pubK B) {|Nonce NA, Agent A|} : parts (spies evs); \
\ Nonce NA ~: analz (spies evs); evs : ns_public |] \
\ ==> Crypt (pubK C) {|NA', Nonce NA|} ~: parts (spies evs)";
@@ -94,7 +94,7 @@
(*Unicity for NS1: nonce NA identifies agents A and B*)
-goal thy
+Goal
"!!evs. [| Nonce NA ~: analz (spies evs); evs : ns_public |] \
\ ==> EX A' B'. ALL A B. \
\ Crypt (pubK B) {|Nonce NA, Agent A|} : parts (spies evs) --> \
@@ -109,7 +109,7 @@
by (Blast_tac 1);
val lemma = result();
-goal thy
+Goal
"!!evs. [| Crypt(pubK B) {|Nonce NA, Agent A|} : parts(spies evs); \
\ Crypt(pubK B') {|Nonce NA, Agent A'|} : parts(spies evs); \
\ Nonce NA ~: analz (spies evs); \
@@ -126,7 +126,7 @@
(*Secrecy: Spy does not see the nonce sent in msg NS1 if A and B are secure*)
-goal thy
+Goal
"!!evs. [| Says A B (Crypt(pubK B) {|Nonce NA, Agent A|}) : set evs; \
\ A ~: bad; B ~: bad; evs : ns_public |] \
\ ==> Nonce NA ~: analz (spies evs)";
@@ -145,7 +145,7 @@
(*Authentication for A: if she receives message 2 and has used NA
to start a run, then B has sent message 2.*)
-goal thy
+Goal
"!!evs. [| Says A B (Crypt(pubK B) {|Nonce NA, Agent A|}) : set evs; \
\ Says B' A (Crypt(pubK A) {|Nonce NA, Nonce NB|}): set evs; \
\ A ~: bad; B ~: bad; evs : ns_public |] \
@@ -166,7 +166,7 @@
(*If the encrypted message appears then it originated with Alice in NS1*)
-goal thy
+Goal
"!!evs. [| Crypt (pubK B) {|Nonce NA, Agent A|} : parts (spies evs); \
\ Nonce NA ~: analz (spies evs); \
\ evs : ns_public |] \
@@ -183,7 +183,7 @@
(*Unicity for NS2: nonce NB identifies nonce NA and agent A
[proof closely follows that for unique_NA] *)
-goal thy
+Goal
"!!evs. [| Nonce NB ~: analz (spies evs); evs : ns_public |] \
\ ==> EX A' NA'. ALL A NA. \
\ Crypt (pubK A) {|Nonce NA, Nonce NB|} : parts (spies evs) \
@@ -197,7 +197,7 @@
by (Blast_tac 1);
val lemma = result();
-goal thy
+Goal
"!!evs. [| Crypt(pubK A) {|Nonce NA, Nonce NB|} : parts(spies evs); \
\ Crypt(pubK A'){|Nonce NA', Nonce NB|} : parts(spies evs); \
\ Nonce NB ~: analz (spies evs); \
@@ -208,7 +208,7 @@
(*NB remains secret PROVIDED Alice never responds with round 3*)
-goal thy
+Goal
"!!evs.[| Says B A (Crypt (pubK A) {|Nonce NA, Nonce NB|}) : set evs; \
\ ALL C. Says A C (Crypt (pubK C) (Nonce NB)) ~: set evs; \
\ A ~: bad; B ~: bad; evs : ns_public |] \
@@ -232,7 +232,7 @@
(*Authentication for B: if he receives message 3 and has used NB
in message 2, then A has sent message 3--to somebody....*)
-goal thy
+Goal
"!!evs. [| Says B A (Crypt (pubK A) {|Nonce NA, Nonce NB|}) : set evs; \
\ Says A' B (Crypt (pubK B) (Nonce NB)): set evs; \
\ A ~: bad; B ~: bad; evs : ns_public |] \
@@ -254,7 +254,7 @@
(*Can we strengthen the secrecy theorem? NO*)
-goal thy
+Goal
"!!evs. [| A ~: bad; B ~: bad; evs : ns_public |] \
\ ==> Says B A (Crypt (pubK A) {|Nonce NA, Nonce NB|}) : set evs \
\ --> Nonce NB ~: analz (spies evs)";