author | paulson |
Wed, 01 Oct 1997 13:42:18 +0200 | |
changeset 3760 | 77f71f650433 |
parent 3758 | 188a4fbfaf55 |
child 3772 | 6ee707a73248 |
permissions | -rw-r--r-- |
3474 | 1 |
(* Title: HOL/Auth/TLS |
2 |
ID: $Id$ |
|
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Author: Lawrence C Paulson, Cambridge University Computer Laboratory |
|
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Copyright 1997 University of Cambridge |
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||
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Protocol goals: |
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* M, serverK(NA,NB,M) and clientK(NA,NB,M) will be known only to the two |
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parties (though A is not necessarily authenticated). |
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|
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* B upon receiving CertVerify knows that A is present (But this |
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message is optional!) |
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* A upon receiving ServerFinished knows that B is present |
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|
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* Each party who has received a FINISHED message can trust that the other |
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party agrees on all message components, including PA and PB (thus foiling |
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rollback attacks). |
3474 | 18 |
*) |
19 |
||
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3474 | 21 |
open TLS; |
22 |
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proof_timing:=true; |
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HOL_quantifiers := false; |
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(** We mostly DO NOT unfold the definition of "certificate". The attached |
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lemmas unfold it lazily, when "certificate B KB" occurs in appropriate |
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contexts. |
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**) |
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|
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goalw thy [certificate_def] |
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"parts (insert (certificate B KB) H) = \ |
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\ parts (insert (Crypt (priK Server) {|Agent B, Key KB|}) H)"; |
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by (rtac refl 1); |
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qed "parts_insert_certificate"; |
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goalw thy [certificate_def] |
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"analz (insert (certificate B KB) H) = \ |
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\ analz (insert (Crypt (priK Server) {|Agent B, Key KB|}) H)"; |
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by (rtac refl 1); |
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qed "analz_insert_certificate"; |
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Addsimps [parts_insert_certificate, analz_insert_certificate]; |
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goalw thy [certificate_def] |
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"(X = certificate B KB) = (Crypt (priK Server) {|Agent B, Key KB|} = X)"; |
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by (Blast_tac 1); |
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qed "eq_certificate_iff"; |
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AddIffs [eq_certificate_iff]; |
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3474 | 51 |
(*Injectiveness of key-generating functions*) |
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AddIffs [inj_PRF RS inj_eq, inj_sessionK RS inj_eq]; |
3474 | 53 |
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(* invKey(sessionK x) = sessionK x*) |
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Addsimps [isSym_sessionK, rewrite_rule [isSymKey_def] isSym_sessionK]; |
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3474 | 57 |
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(*** clientK and serverK make symmetric keys; no clashes with pubK or priK ***) |
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goal thy "pubK A ~= sessionK arg"; |
3474 | 61 |
br notI 1; |
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by (dres_inst_tac [("f","isSymKey")] arg_cong 1); |
|
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by (Full_simp_tac 1); |
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qed "pubK_neq_sessionK"; |
3474 | 65 |
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goal thy "priK A ~= sessionK arg"; |
3474 | 67 |
br notI 1; |
68 |
by (dres_inst_tac [("f","isSymKey")] arg_cong 1); |
|
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by (Full_simp_tac 1); |
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qed "priK_neq_sessionK"; |
3474 | 71 |
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val keys_distinct = [pubK_neq_sessionK, priK_neq_sessionK]; |
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AddIffs (keys_distinct @ (keys_distinct RL [not_sym])); |
3474 | 74 |
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||
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(**** Protocol Proofs ****) |
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77 |
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(*A "possibility property": there are traces that reach the end. |
|
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This protocol has three end points and six messages to consider.*) |
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(** These proofs make the further assumption that the Nonce_supply nonces |
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(which have the form @ N. Nonce N ~: used evs) |
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lie outside the range of PRF. This assumption seems reasonable, but |
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as it is needed only for the possibility theorems, it is not taken |
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as an axiom. |
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**) |
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(*Possibility property ending with ClientAccepts.*) |
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goal thy |
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"!!A B. [| ALL evs. (@ N. Nonce N ~: used evs) ~: range PRF; \ |
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\ A ~= B |] \ |
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\ ==> EX SID M. EX evs: tls. \ |
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\ Notes A {|Number SID, Agent A, Agent B, Nonce M|} : set evs"; |
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by (REPEAT (resolve_tac [exI,bexI] 1)); |
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by (rtac (tls.Nil RS tls.ClientHello RS tls.ServerHello RS tls.Certificate RS |
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tls.ClientKeyExch RS tls.ClientFinished RS tls.ServerFinished RS |
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tls.ClientAccepts) 2); |
3474 | 100 |
by possibility_tac; |
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by (REPEAT (Blast_tac 1)); |
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result(); |
103 |
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(*And one for ServerAccepts. Either FINISHED message may come first.*) |
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goal thy |
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"!!A B. [| ALL evs. (@ N. Nonce N ~: used evs) ~: range PRF; \ |
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\ A ~= B |] \ |
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\ ==> EX SID NA PA NB PB M. EX evs: tls. \ |
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\ Notes B {|Number SID, Agent A, Agent B, Nonce M|} : set evs"; |
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by (REPEAT (resolve_tac [exI,bexI] 1)); |
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by (rtac (tls.Nil RS tls.ClientHello RS tls.ServerHello RS tls.Certificate RS |
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tls.ClientKeyExch RS tls.ServerFinished RS tls.ClientFinished RS |
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tls.ServerAccepts) 2); |
3474 | 114 |
by possibility_tac; |
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by (REPEAT (Blast_tac 1)); |
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result(); |
117 |
||
118 |
(*Another one, for CertVerify (which is optional)*) |
|
119 |
goal thy |
|
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120 |
"!!A B. [| ALL evs. (@ N. Nonce N ~: used evs) ~: range PRF; \ |
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\ A ~= B |] \ |
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\ ==> EX NB PMS. EX evs: tls. \ |
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\ Says A B (Crypt (priK A) (Hash{|Nonce NB, Agent B, Nonce PMS|})) : set evs"; |
3474 | 124 |
by (REPEAT (resolve_tac [exI,bexI] 1)); |
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by (rtac (tls.Nil RS tls.ClientHello RS tls.ServerHello RS tls.Certificate RS |
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126 |
tls.ClientKeyExch RS tls.CertVerify) 2); |
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by possibility_tac; |
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by (REPEAT (Blast_tac 1)); |
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result(); |
130 |
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(*Another one, for session resumption (both ServerResume and ClientResume) *) |
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goal thy |
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"!!A B. [| evs0 : tls; \ |
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\ Notes A {|Number SID, Agent A, Agent B, Nonce M|} : set evs0; \ |
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\ Notes B {|Number SID, Agent A, Agent B, Nonce M|} : set evs0; \ |
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\ ALL evs. (@ N. Nonce N ~: used evs) ~: range PRF; \ |
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\ A ~= B |] ==> EX NA PA NB PB X. EX evs: tls. \ |
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\ X = Hash{|Number SID, Nonce M, \ |
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\ Nonce NA, Number PA, Agent A, \ |
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\ Nonce NB, Number PB, Agent B|} & \ |
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141 |
\ Says A B (Crypt (clientK(NA,NB,M)) X) : set evs & \ |
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\ Says B A (Crypt (serverK(NA,NB,M)) X) : set evs"; |
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by (REPEAT (resolve_tac [exI,bexI] 1)); |
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144 |
by (etac (tls.ClientHello RS tls.ServerHello RS tls.ServerResume RS |
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145 |
tls.ClientResume) 2); |
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by possibility_tac; |
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by (REPEAT (Blast_tac 1)); |
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result(); |
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|
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150 |
|
3474 | 151 |
|
152 |
(**** Inductive proofs about tls ****) |
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153 |
||
154 |
(*Nobody sends themselves messages*) |
|
155 |
goal thy "!!evs. evs : tls ==> ALL A X. Says A A X ~: set evs"; |
|
156 |
by (etac tls.induct 1); |
|
157 |
by (Auto_tac()); |
|
158 |
qed_spec_mp "not_Says_to_self"; |
|
159 |
Addsimps [not_Says_to_self]; |
|
160 |
AddSEs [not_Says_to_self RSN (2, rev_notE)]; |
|
161 |
||
162 |
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163 |
(*Induction for regularity theorems. If induction formula has the form |
3683 | 164 |
X ~: analz (spies evs) --> ... then it shortens the proof by discarding |
165 |
needless information about analz (insert X (spies evs)) *) |
|
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166 |
fun parts_induct_tac i = |
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167 |
etac tls.induct i |
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168 |
THEN |
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169 |
REPEAT (FIRSTGOAL analz_mono_contra_tac) |
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170 |
THEN |
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171 |
fast_tac (!claset addss (!simpset)) i THEN |
3704 | 172 |
ALLGOALS (asm_simp_tac (!simpset setloop split_tac [expand_if])); |
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173 |
|
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174 |
|
3683 | 175 |
(** Theorems of the form X ~: parts (spies evs) imply that NOBODY |
3474 | 176 |
sends messages containing X! **) |
177 |
||
3683 | 178 |
(*Spy never sees another agent's private key! (unless it's bad at start)*) |
3474 | 179 |
goal thy |
3683 | 180 |
"!!evs. evs : tls ==> (Key (priK A) : parts (spies evs)) = (A : bad)"; |
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181 |
by (parts_induct_tac 1); |
3474 | 182 |
by (Fake_parts_insert_tac 1); |
183 |
qed "Spy_see_priK"; |
|
184 |
Addsimps [Spy_see_priK]; |
|
185 |
||
186 |
goal thy |
|
3683 | 187 |
"!!evs. evs : tls ==> (Key (priK A) : analz (spies evs)) = (A : bad)"; |
3474 | 188 |
by (auto_tac(!claset addDs [impOfSubs analz_subset_parts], !simpset)); |
189 |
qed "Spy_analz_priK"; |
|
190 |
Addsimps [Spy_analz_priK]; |
|
191 |
||
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192 |
goal thy "!!A. [| Key (priK A) : parts (spies evs); evs : tls |] ==> A:bad"; |
3474 | 193 |
by (blast_tac (!claset addDs [Spy_see_priK]) 1); |
194 |
qed "Spy_see_priK_D"; |
|
195 |
||
196 |
bind_thm ("Spy_analz_priK_D", analz_subset_parts RS subsetD RS Spy_see_priK_D); |
|
197 |
AddSDs [Spy_see_priK_D, Spy_analz_priK_D]; |
|
198 |
||
199 |
||
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200 |
(*This lemma says that no false certificates exist. One might extend the |
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201 |
model to include bogus certificates for the agents, but there seems |
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202 |
little point in doing so: the loss of their private keys is a worse |
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203 |
breach of security.*) |
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204 |
goalw thy [certificate_def] |
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205 |
"!!evs. evs : tls ==> certificate B KB : parts (spies evs) --> KB = pubK B"; |
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206 |
by (parts_induct_tac 1); |
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207 |
by (Fake_parts_insert_tac 1); |
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208 |
bind_thm ("Server_cert_pubB", result() RSN (2, rev_mp)); |
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209 |
|
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210 |
|
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211 |
(*Replace key KB in ClientKeyExch by (pubK B) *) |
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212 |
val ClientKeyExch_tac = |
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213 |
forward_tac [Says_imp_spies RS parts.Inj RS Server_cert_pubB] |
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214 |
THEN' assume_tac |
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215 |
THEN' hyp_subst_tac; |
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216 |
|
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217 |
fun analz_induct_tac i = |
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218 |
etac tls.induct i THEN |
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219 |
ClientKeyExch_tac (i+6) THEN (*ClientKeyExch*) |
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220 |
ALLGOALS (asm_simp_tac |
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221 |
(!simpset addcongs [if_weak_cong] |
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222 |
setloop split_tac [expand_if])) THEN |
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223 |
(*Remove instances of pubK B: the Spy already knows all public keys. |
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224 |
Combining the two simplifier calls makes them run extremely slowly.*) |
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225 |
ALLGOALS (asm_simp_tac |
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226 |
(!simpset addcongs [if_weak_cong] |
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227 |
addsimps [insert_absorb] |
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228 |
setloop split_tac [expand_if])); |
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229 |
|
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230 |
|
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231 |
(*** Properties of items found in Notes ***) |
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232 |
|
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233 |
goal thy "!!evs. [| Notes A {|Agent B, X|} : set evs; evs : tls |] \ |
3683 | 234 |
\ ==> Crypt (pubK B) X : parts (spies evs)"; |
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|
235 |
by (etac rev_mp 1); |
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|
236 |
by (analz_induct_tac 1); |
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|
237 |
by (blast_tac (!claset addIs [parts_insertI]) 1); |
3683 | 238 |
qed "Notes_Crypt_parts_spies"; |
3515
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239 |
|
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|
240 |
(*C may be either A or B*) |
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|
241 |
goal thy |
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|
242 |
"!!evs. [| Notes C {|s, Agent A, Agent B, Nonce(PRF(PMS,NA,NB))|} : set evs; \ |
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|
243 |
\ evs : tls \ |
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244 |
\ |] ==> Crypt (pubK B) (Nonce PMS) : parts (spies evs)"; |
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245 |
by (etac rev_mp 1); |
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|
246 |
by (parts_induct_tac 1); |
3711 | 247 |
by (ALLGOALS Clarify_tac); |
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248 |
(*Fake*) |
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249 |
by (blast_tac (!claset addIs [parts_insertI]) 1); |
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250 |
(*Client, Server Accept*) |
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|
251 |
by (REPEAT (blast_tac (!claset addSEs spies_partsEs |
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|
252 |
addSDs [Notes_Crypt_parts_spies]) 1)); |
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|
253 |
qed "Notes_master_imp_Crypt_PMS"; |
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|
254 |
|
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|
255 |
(*Compared with the theorem above, both premise and conclusion are stronger*) |
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|
256 |
goal thy |
3758
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|
257 |
"!!evs. [| Notes A {|s, Agent A, Agent B, Nonce(PRF(PMS,NA,NB))|} : set evs;\ |
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|
258 |
\ evs : tls \ |
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|
259 |
\ |] ==> Notes A {|Agent B, Nonce PMS|} : set evs"; |
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|
260 |
by (etac rev_mp 1); |
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|
261 |
by (parts_induct_tac 1); |
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|
262 |
(*ServerAccepts*) |
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|
263 |
by (Fast_tac 1); (*Blast_tac's very slow here*) |
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|
264 |
qed "Notes_master_imp_Notes_PMS"; |
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|
265 |
|
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|
266 |
|
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|
267 |
(*** Protocol goal: if B receives CertVerify, then A sent it ***) |
3474 | 268 |
|
3745
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269 |
(*B can check A's signature if he has received A's certificate.*) |
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|
270 |
goal thy |
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|
271 |
"!!evs. [| X : parts (spies evs); \ |
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|
272 |
\ X = Crypt (priK A) (Hash{|nb, Agent B, pms|}); \ |
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|
273 |
\ evs : tls; A ~: bad |] \ |
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|
274 |
\ ==> Says A B X : set evs"; |
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|
275 |
by (etac rev_mp 1); |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
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diff
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|
276 |
by (hyp_subst_tac 1); |
3519
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Changing "lost" from a parameter of protocol definitions to a constant.
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|
277 |
by (parts_induct_tac 1); |
3474 | 278 |
by (Fake_parts_insert_tac 1); |
3745
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|
279 |
val lemma = result(); |
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|
280 |
|
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|
281 |
(*Final version: B checks X using the distributed KA instead of priK A*) |
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|
282 |
goal thy |
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|
283 |
"!!evs. [| X : parts (spies evs); \ |
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|
284 |
\ X = Crypt (invKey KA) (Hash{|nb, Agent B, pms|}); \ |
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|
285 |
\ certificate A KA : parts (spies evs); \ |
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|
286 |
\ evs : tls; A ~: bad |] \ |
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|
287 |
\ ==> Says A B X : set evs"; |
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|
288 |
by (blast_tac (!claset addSDs [Server_cert_pubB] addSIs [lemma]) 1); |
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|
289 |
qed "TrustCertVerify"; |
3474 | 290 |
|
291 |
||
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|
292 |
(*If CertVerify is present then A has chosen PMS.*) |
3506 | 293 |
goal thy |
3745
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|
294 |
"!!evs. [| Crypt (priK A) (Hash{|nb, Agent B, Nonce PMS|}) \ |
3683 | 295 |
\ : parts (spies evs); \ |
296 |
\ evs : tls; A ~: bad |] \ |
|
3672
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|
297 |
\ ==> Notes A {|Agent B, Nonce PMS|} : set evs"; |
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|
298 |
be rev_mp 1; |
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|
299 |
by (parts_induct_tac 1); |
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Changing "lost" from a parameter of protocol definitions to a constant.
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|
300 |
by (Fake_parts_insert_tac 1); |
3745
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|
301 |
val lemma = result(); |
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|
302 |
|
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|
303 |
(*Final version using the distributed KA instead of priK A*) |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
304 |
goal thy |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
305 |
"!!evs. [| Crypt (invKey KA) (Hash{|nb, Agent B, Nonce PMS|}) \ |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
306 |
\ : parts (spies evs); \ |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
307 |
\ certificate A KA : parts (spies evs); \ |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
308 |
\ evs : tls; A ~: bad |] \ |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
309 |
\ ==> Notes A {|Agent B, Nonce PMS|} : set evs"; |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
310 |
by (blast_tac (!claset addSDs [Server_cert_pubB] addSIs [lemma]) 1); |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
311 |
qed "UseCertVerify"; |
3474 | 312 |
|
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
313 |
|
3687
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
314 |
(*Key compromise lemma needed to prove analz_image_keys. |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
315 |
No collection of keys can help the spy get new private keys.*) |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
316 |
goal thy |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
317 |
"!!evs. evs : tls ==> \ |
3683 | 318 |
\ ALL KK. (Key(priK B) : analz (Key``KK Un (spies evs))) = \ |
3687
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
319 |
\ (priK B : KK | B : bad)"; |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
320 |
by (etac tls.induct 1); |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
321 |
by (ALLGOALS |
3519
ab0a9fbed4c0
Changing "lost" from a parameter of protocol definitions to a constant.
paulson
parents:
3515
diff
changeset
|
322 |
(asm_simp_tac (analz_image_keys_ss |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
323 |
addsimps (analz_insert_certificate::keys_distinct)))); |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
324 |
(*Fake*) |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
325 |
by (spy_analz_tac 2); |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
326 |
(*Base*) |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
327 |
by (Blast_tac 1); |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
328 |
qed_spec_mp "analz_image_priK"; |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
329 |
|
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
330 |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
331 |
(*slightly speeds up the big simplification below*) |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
332 |
goal thy "!!evs. KK <= range sessionK ==> priK B ~: KK"; |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
333 |
by (Blast_tac 1); |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
334 |
val range_sessionkeys_not_priK = result(); |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
335 |
|
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
336 |
(*Lemma for the trivial direction of the if-and-only-if*) |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
337 |
goal thy |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
338 |
"!!evs. (X : analz (G Un H)) --> (X : analz H) ==> \ |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
339 |
\ (X : analz (G Un H)) = (X : analz H)"; |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
340 |
by (blast_tac (!claset addIs [impOfSubs analz_mono]) 1); |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
341 |
val lemma = result(); |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
342 |
|
3687
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
343 |
(** It is a mystery to me why the following formulation is actually slower |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
344 |
in simplification: |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
345 |
|
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
346 |
\ ALL Z. (Nonce N : analz (Key``(sessionK``Z) Un (spies evs))) = \ |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
347 |
\ (Nonce N : analz (spies evs))"; |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
348 |
|
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
349 |
More so as it can take advantage of unconditional rewrites such as |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
350 |
priK B ~: sessionK``Z |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
351 |
**) |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
352 |
|
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
353 |
goal thy |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
354 |
"!!evs. evs : tls ==> \ |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
355 |
\ ALL KK. KK <= range sessionK --> \ |
3683 | 356 |
\ (Nonce N : analz (Key``KK Un (spies evs))) = \ |
357 |
\ (Nonce N : analz (spies evs))"; |
|
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
358 |
by (etac tls.induct 1); |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
359 |
by (ClientKeyExch_tac 7); |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
360 |
by (REPEAT_FIRST (resolve_tac [allI, impI])); |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
361 |
by (REPEAT_FIRST (rtac lemma)); |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
362 |
by (ALLGOALS (*23 seconds*) |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
363 |
(asm_simp_tac (analz_image_keys_ss |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
364 |
addsimps [range_sessionkeys_not_priK, |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
365 |
analz_image_priK, analz_insert_certificate]))); |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
366 |
by (ALLGOALS (asm_simp_tac (!simpset addsimps [insert_absorb]))); |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
367 |
(*Fake*) |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
368 |
by (spy_analz_tac 2); |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
369 |
(*Base*) |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
370 |
by (Blast_tac 1); |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
371 |
qed_spec_mp "analz_image_keys"; |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
372 |
|
3687
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
373 |
(*Knowing some session keys is no help in getting new nonces*) |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
374 |
goal thy |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
375 |
"!!evs. evs : tls ==> \ |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
376 |
\ Nonce N : analz (insert (Key (sessionK z)) (spies evs)) = \ |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
377 |
\ (Nonce N : analz (spies evs))"; |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
378 |
by (asm_simp_tac (analz_image_keys_ss addsimps [analz_image_keys]) 1); |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
379 |
qed "analz_insert_key"; |
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
380 |
Addsimps [analz_insert_key]; |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
381 |
|
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
382 |
goal thy "!!evs. evs : tls ==> Notes A {|Agent B, Nonce (PRF x)|} ~: set evs"; |
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
383 |
by (parts_induct_tac 1); |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
384 |
(*ClientKeyExch: PMS is assumed to differ from any PRF.*) |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
385 |
by (Blast_tac 1); |
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
386 |
qed "no_Notes_A_PRF"; |
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
387 |
Addsimps [no_Notes_A_PRF]; |
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
388 |
|
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
389 |
|
3683 | 390 |
goal thy "!!evs. [| Nonce (PRF (PMS,NA,NB)) : parts (spies evs); \ |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
391 |
\ evs : tls |] \ |
3683 | 392 |
\ ==> Nonce PMS : parts (spies evs)"; |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
393 |
by (etac rev_mp 1); |
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
394 |
by (parts_induct_tac 1); |
3683 | 395 |
by (ALLGOALS (asm_simp_tac (!simpset addsimps [parts_insert_spies]))); |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
396 |
by (Fake_parts_insert_tac 1); |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
397 |
(*Six others, all trivial or by freshness*) |
3683 | 398 |
by (REPEAT (blast_tac (!claset addSDs [Notes_Crypt_parts_spies] |
399 |
addSEs spies_partsEs) 1)); |
|
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
400 |
qed "MS_imp_PMS"; |
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
401 |
AddSDs [MS_imp_PMS]; |
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
402 |
|
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
403 |
|
3474 | 404 |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
405 |
(*** Protocol goal: serverK(Na,Nb,M) and clientK(Na,Nb,M) remain secure ***) |
3474 | 406 |
|
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
407 |
(** Some lemmas about session keys, comprising clientK and serverK **) |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
408 |
|
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
409 |
|
3704 | 410 |
(*Lemma: session keys are never used if PMS is fresh. |
411 |
Nonces don't have to agree, allowing session resumption. |
|
412 |
Converse doesn't hold; revealing PMS doesn't force the keys to be sent. |
|
413 |
THEY ARE NOT SUITABLE AS SAFE ELIM RULES.*) |
|
414 |
goal thy |
|
415 |
"!!evs. [| Nonce PMS ~: parts (spies evs); \ |
|
416 |
\ K = sessionK((Na, Nb, PRF(PMS,NA,NB)), b); \ |
|
417 |
\ evs : tls |] \ |
|
418 |
\ ==> Key K ~: parts (spies evs) & (ALL Y. Crypt K Y ~: parts (spies evs))"; |
|
419 |
by (etac rev_mp 1); |
|
420 |
by (hyp_subst_tac 1); |
|
421 |
by (analz_induct_tac 1); |
|
422 |
(*SpyKeys*) |
|
423 |
by (blast_tac (!claset addSEs spies_partsEs) 3); |
|
424 |
(*Fake*) |
|
425 |
by (simp_tac (!simpset addsimps [parts_insert_spies]) 2); |
|
426 |
by (Fake_parts_insert_tac 2); |
|
427 |
(** LEVEL 6 **) |
|
428 |
(*Oops*) |
|
429 |
by (fast_tac (!claset addSEs [MPair_parts] |
|
430 |
addDs [Says_imp_spies RS parts.Inj] |
|
431 |
addss (!simpset)) 6); |
|
432 |
by (REPEAT |
|
433 |
(blast_tac (!claset addSDs [Notes_Crypt_parts_spies, |
|
434 |
Notes_master_imp_Crypt_PMS] |
|
435 |
addSEs spies_partsEs) 1)); |
|
436 |
val lemma = result(); |
|
437 |
||
438 |
goal thy |
|
439 |
"!!evs. [| Nonce PMS ~: parts (spies evs); evs : tls |] \ |
|
440 |
\ ==> Key (sessionK((Na, Nb, PRF(PMS,NA,NB)), b)) ~: parts (spies evs)"; |
|
441 |
by (blast_tac (!claset addDs [lemma]) 1); |
|
442 |
qed "PMS_sessionK_not_spied"; |
|
443 |
||
444 |
goal thy |
|
445 |
"!!evs. [| Nonce PMS ~: parts (spies evs); evs : tls |] \ |
|
446 |
\ ==> Crypt (sessionK((Na, Nb, PRF(PMS,NA,NB)), b)) Y ~: parts (spies evs)"; |
|
447 |
by (blast_tac (!claset addDs [lemma]) 1); |
|
448 |
qed "PMS_Crypt_sessionK_not_spied"; |
|
449 |
||
450 |
||
451 |
(*Lemma: write keys are never sent if M (MASTER SECRET) is secure. |
|
452 |
Converse doesn't hold; betraying M doesn't force the keys to be sent! |
|
453 |
The strong Oops condition can be weakened later by unicity reasoning, |
|
454 |
with some effort.*) |
|
3474 | 455 |
goal thy |
3686
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
456 |
"!!evs. [| ALL A. Says A Spy (Key (sessionK((NA,NB,M),b))) ~: set evs; \ |
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
457 |
\ Nonce M ~: analz (spies evs); evs : tls |] \ |
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
458 |
\ ==> Key (sessionK((NA,NB,M),b)) ~: parts (spies evs)"; |
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
459 |
by (etac rev_mp 1); |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
460 |
by (etac rev_mp 1); |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
461 |
by (analz_induct_tac 1); (*17 seconds*) |
3686
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
462 |
(*Oops*) |
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
463 |
by (Blast_tac 4); |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
464 |
(*SpyKeys*) |
3683 | 465 |
by (blast_tac (!claset addDs [Says_imp_spies RS analz.Inj]) 3); |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
466 |
(*Fake*) |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
467 |
by (spy_analz_tac 2); |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
468 |
(*Base*) |
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
469 |
by (Blast_tac 1); |
3704 | 470 |
qed "sessionK_not_spied"; |
471 |
Addsimps [sessionK_not_spied]; |
|
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
472 |
|
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
473 |
|
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
474 |
(*** Unicity results for PMS, the pre-master-secret ***) |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
475 |
|
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
476 |
(*PMS determines B. Proof borrowed from NS_Public/unique_NA and from Yahalom*) |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
477 |
goal thy |
3683 | 478 |
"!!evs. [| Nonce PMS ~: analz (spies evs); evs : tls |] \ |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
479 |
\ ==> EX B'. ALL B. \ |
3683 | 480 |
\ Crypt (pubK B) (Nonce PMS) : parts (spies evs) --> B=B'"; |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
481 |
by (etac rev_mp 1); |
3519
ab0a9fbed4c0
Changing "lost" from a parameter of protocol definitions to a constant.
paulson
parents:
3515
diff
changeset
|
482 |
by (parts_induct_tac 1); |
ab0a9fbed4c0
Changing "lost" from a parameter of protocol definitions to a constant.
paulson
parents:
3515
diff
changeset
|
483 |
by (Fake_parts_insert_tac 1); |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
484 |
(*ClientKeyExch*) |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
485 |
by (ClientKeyExch_tac 1); |
3519
ab0a9fbed4c0
Changing "lost" from a parameter of protocol definitions to a constant.
paulson
parents:
3515
diff
changeset
|
486 |
by (asm_simp_tac (!simpset addsimps [all_conj_distrib]) 1); |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
487 |
by (expand_case_tac "PMS = ?y" 1 THEN |
3519
ab0a9fbed4c0
Changing "lost" from a parameter of protocol definitions to a constant.
paulson
parents:
3515
diff
changeset
|
488 |
blast_tac (!claset addSEs partsEs) 1); |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
489 |
val lemma = result(); |
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
490 |
|
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
491 |
goal thy |
3683 | 492 |
"!!evs. [| Crypt(pubK B) (Nonce PMS) : parts (spies evs); \ |
493 |
\ Crypt(pubK B') (Nonce PMS) : parts (spies evs); \ |
|
494 |
\ Nonce PMS ~: analz (spies evs); \ |
|
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
495 |
\ evs : tls |] \ |
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
496 |
\ ==> B=B'"; |
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
497 |
by (prove_unique_tac lemma 1); |
3704 | 498 |
qed "Crypt_unique_PMS"; |
499 |
||
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
500 |
|
3685
5b8c0c8f576e
Full version of TLS including session resumption, but no Oops
paulson
parents:
3683
diff
changeset
|
501 |
(** It is frustrating that we need two versions of the unicity results. |
3704 | 502 |
But Notes A {|Agent B, Nonce PMS|} determines both A and B. Sometimes |
503 |
we have only the weaker assertion Crypt(pubK B) (Nonce PMS), which |
|
504 |
determines B alone, and only if PMS is secret. |
|
3685
5b8c0c8f576e
Full version of TLS including session resumption, but no Oops
paulson
parents:
3683
diff
changeset
|
505 |
**) |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
506 |
|
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
507 |
(*In A's internal Note, PMS determines A and B.*) |
3704 | 508 |
goal thy "!!evs. evs : tls \ |
509 |
\ ==> EX A' B'. ALL A B. \ |
|
510 |
\ Notes A {|Agent B, Nonce PMS|} : set evs --> A=A' & B=B'"; |
|
3519
ab0a9fbed4c0
Changing "lost" from a parameter of protocol definitions to a constant.
paulson
parents:
3515
diff
changeset
|
511 |
by (parts_induct_tac 1); |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
512 |
by (asm_simp_tac (!simpset addsimps [all_conj_distrib]) 1); |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
513 |
(*ClientKeyExch: if PMS is fresh, then it can't appear in Notes A X.*) |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
514 |
by (expand_case_tac "PMS = ?y" 1 THEN |
3683 | 515 |
blast_tac (!claset addSDs [Notes_Crypt_parts_spies] addSEs partsEs) 1); |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
516 |
val lemma = result(); |
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
517 |
|
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
518 |
goal thy |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
519 |
"!!evs. [| Notes A {|Agent B, Nonce PMS|} : set evs; \ |
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
520 |
\ Notes A' {|Agent B', Nonce PMS|} : set evs; \ |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
521 |
\ evs : tls |] \ |
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
522 |
\ ==> A=A' & B=B'"; |
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
523 |
by (prove_unique_tac lemma 1); |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
524 |
qed "Notes_unique_PMS"; |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
525 |
|
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
526 |
|
3474 | 527 |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
528 |
(*If A sends ClientKeyExch to an honest B, then the PMS will stay secret.*) |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
529 |
goal thy |
3683 | 530 |
"!!evs. [| evs : tls; A ~: bad; B ~: bad |] \ |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
531 |
\ ==> Notes A {|Agent B, Nonce PMS|} : set evs --> \ |
3683 | 532 |
\ Nonce PMS ~: analz (spies evs)"; |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
533 |
by (analz_induct_tac 1); (*11 seconds*) |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
534 |
(*ClientAccepts and ServerAccepts: because PMS ~: range PRF*) |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
535 |
by (REPEAT (fast_tac (!claset addss (!simpset)) 6)); |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
536 |
(*ClientHello, ServerHello, ClientKeyExch, ServerResume: |
3687
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
537 |
mostly freshness reasoning*) |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
538 |
by (REPEAT (blast_tac (!claset addSEs partsEs |
3683 | 539 |
addDs [Notes_Crypt_parts_spies, |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
540 |
impOfSubs analz_subset_parts, |
3687
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
541 |
Says_imp_spies RS analz.Inj]) 3)); |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
542 |
(*SpyKeys*) |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
543 |
by (fast_tac (!claset addss (!simpset)) 2); |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
544 |
(*Fake*) |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
545 |
by (spy_analz_tac 1); |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
546 |
bind_thm ("Spy_not_see_PMS", result() RSN (2, rev_mp)); |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
547 |
|
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
548 |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
549 |
(*If A sends ClientKeyExch to an honest B, then the MASTER SECRET |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
550 |
will stay secret.*) |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
551 |
goal thy |
3683 | 552 |
"!!evs. [| evs : tls; A ~: bad; B ~: bad |] \ |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
553 |
\ ==> Notes A {|Agent B, Nonce PMS|} : set evs --> \ |
3683 | 554 |
\ Nonce (PRF(PMS,NA,NB)) ~: analz (spies evs)"; |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
555 |
by (analz_induct_tac 1); (*13 seconds*) |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
556 |
(*ClientAccepts and ServerAccepts: because PMS was already visible*) |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
557 |
by (REPEAT (blast_tac (!claset addDs [Spy_not_see_PMS, |
3683 | 558 |
Says_imp_spies RS analz.Inj, |
559 |
Notes_imp_spies RS analz.Inj]) 6)); |
|
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
560 |
(*ClientHello*) |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
561 |
by (Blast_tac 3); |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
562 |
(*SpyKeys: by secrecy of the PMS, Spy cannot make the MS*) |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
563 |
by (blast_tac (!claset addSDs [Spy_not_see_PMS, |
3683 | 564 |
Says_imp_spies RS analz.Inj]) 2); |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
565 |
(*Fake*) |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
566 |
by (spy_analz_tac 1); |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
567 |
(*ServerHello and ClientKeyExch: mostly freshness reasoning*) |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
568 |
by (REPEAT (blast_tac (!claset addSEs partsEs |
3683 | 569 |
addDs [Notes_Crypt_parts_spies, |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
570 |
impOfSubs analz_subset_parts, |
3683 | 571 |
Says_imp_spies RS analz.Inj]) 1)); |
3677
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
572 |
bind_thm ("Spy_not_see_MS", result() RSN (2, rev_mp)); |
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
573 |
|
f2569416d18b
Now with the sessionK constant and new events ClientAccepts and ServerAccepts
paulson
parents:
3676
diff
changeset
|
574 |
|
3704 | 575 |
(*** Weakening the Oops conditions for leakage of clientK ***) |
576 |
||
577 |
(*If A created PMS then nobody other than the Spy would send a message |
|
578 |
using a clientK generated from that PMS.*) |
|
579 |
goal thy |
|
580 |
"!!evs. [| evs : tls; A' ~= Spy |] \ |
|
581 |
\ ==> Notes A {|Agent B, Nonce PMS|} : set evs --> \ |
|
582 |
\ Says A' B' (Crypt (clientK(Na,Nb,PRF(PMS,NA,NB))) Y) : set evs --> \ |
|
583 |
\ A = A'"; |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
584 |
by (analz_induct_tac 1); (*8 seconds*) |
3711 | 585 |
by (ALLGOALS Clarify_tac); |
3704 | 586 |
(*ClientFinished, ClientResume: by unicity of PMS*) |
587 |
by (REPEAT |
|
588 |
(blast_tac (!claset addSDs [Notes_master_imp_Notes_PMS] |
|
589 |
addIs [Notes_unique_PMS RS conjunct1]) 2)); |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
590 |
(*ClientKeyExch*) |
3704 | 591 |
by (blast_tac (!claset addSEs [PMS_Crypt_sessionK_not_spied RSN (2,rev_notE)] |
592 |
addSDs [Says_imp_spies RS parts.Inj]) 1); |
|
593 |
bind_thm ("Says_clientK_unique", |
|
594 |
result() RSN(2,rev_mp) RSN(2,rev_mp)); |
|
595 |
||
596 |
||
597 |
(*If A created PMS and has not leaked her clientK to the Spy, |
|
598 |
then nobody has.*) |
|
599 |
goal thy |
|
600 |
"!!evs. evs : tls \ |
|
601 |
\ ==> Says A Spy (Key(clientK(Na,Nb,PRF(PMS,NA,NB)))) ~: set evs --> \ |
|
602 |
\ Notes A {|Agent B, Nonce PMS|} : set evs --> \ |
|
603 |
\ (ALL A. Says A Spy (Key(clientK(Na,Nb,PRF(PMS,NA,NB)))) ~: set evs) "; |
|
604 |
by (etac tls.induct 1); |
|
605 |
(*This roundabout proof sequence avoids looping in simplification*) |
|
606 |
by (ALLGOALS Simp_tac); |
|
3711 | 607 |
by (ALLGOALS Clarify_tac); |
3704 | 608 |
by (Fake_parts_insert_tac 1); |
609 |
by (ALLGOALS Asm_simp_tac); |
|
610 |
(*Oops*) |
|
611 |
by (blast_tac (!claset addIs [Says_clientK_unique]) 2); |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
612 |
(*ClientKeyExch*) |
3704 | 613 |
by (blast_tac (!claset addSEs ((PMS_sessionK_not_spied RSN (2,rev_notE)) :: |
614 |
spies_partsEs)) 1); |
|
615 |
qed_spec_mp "clientK_Oops_ALL"; |
|
616 |
||
617 |
||
618 |
||
619 |
(*** Weakening the Oops conditions for leakage of serverK ***) |
|
620 |
||
621 |
(*If A created PMS for B, then nobody other than B or the Spy would |
|
622 |
send a message using a serverK generated from that PMS.*) |
|
623 |
goal thy |
|
624 |
"!!evs. [| evs : tls; A ~: bad; B ~: bad; B' ~= Spy |] \ |
|
625 |
\ ==> Notes A {|Agent B, Nonce PMS|} : set evs --> \ |
|
626 |
\ Says B' A' (Crypt (serverK(Na,Nb,PRF(PMS,NA,NB))) Y) : set evs --> \ |
|
627 |
\ B = B'"; |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
628 |
by (analz_induct_tac 1); (*9 seconds*) |
3711 | 629 |
by (ALLGOALS Clarify_tac); |
3704 | 630 |
(*ServerResume, ServerFinished: by unicity of PMS*) |
631 |
by (REPEAT |
|
632 |
(blast_tac (!claset addSEs [MPair_parts] |
|
633 |
addSDs [Notes_master_imp_Crypt_PMS, |
|
634 |
Says_imp_spies RS parts.Inj] |
|
635 |
addDs [Spy_not_see_PMS, |
|
636 |
Notes_Crypt_parts_spies, |
|
637 |
Crypt_unique_PMS]) 2)); |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
638 |
(*ClientKeyExch*) |
3704 | 639 |
by (blast_tac (!claset addSEs [PMS_Crypt_sessionK_not_spied RSN (2,rev_notE)] |
640 |
addSDs [Says_imp_spies RS parts.Inj]) 1); |
|
641 |
bind_thm ("Says_serverK_unique", |
|
642 |
result() RSN(2,rev_mp) RSN(2,rev_mp)); |
|
643 |
||
644 |
(*If A created PMS for B, and B has not leaked his serverK to the Spy, |
|
645 |
then nobody has.*) |
|
646 |
goal thy |
|
647 |
"!!evs. [| evs : tls; A ~: bad; B ~: bad |] \ |
|
648 |
\ ==> Says B Spy (Key(serverK(Na,Nb,PRF(PMS,NA,NB)))) ~: set evs --> \ |
|
649 |
\ Notes A {|Agent B, Nonce PMS|} : set evs --> \ |
|
650 |
\ (ALL A. Says A Spy (Key(serverK(Na,Nb,PRF(PMS,NA,NB)))) ~: set evs) "; |
|
651 |
by (etac tls.induct 1); |
|
652 |
(*This roundabout proof sequence avoids looping in simplification*) |
|
653 |
by (ALLGOALS Simp_tac); |
|
3711 | 654 |
by (ALLGOALS Clarify_tac); |
3704 | 655 |
by (Fake_parts_insert_tac 1); |
656 |
by (ALLGOALS Asm_simp_tac); |
|
657 |
(*Oops*) |
|
658 |
by (blast_tac (!claset addIs [Says_serverK_unique]) 2); |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
659 |
(*ClientKeyExch*) |
3704 | 660 |
by (blast_tac (!claset addSEs ((PMS_sessionK_not_spied RSN (2,rev_notE)) :: |
661 |
spies_partsEs)) 1); |
|
662 |
qed_spec_mp "serverK_Oops_ALL"; |
|
663 |
||
664 |
||
665 |
||
3685
5b8c0c8f576e
Full version of TLS including session resumption, but no Oops
paulson
parents:
3683
diff
changeset
|
666 |
(*** Protocol goals: if A receives ServerFinished, then B is present |
3729
6be7cf5086ab
Renamed XA, XB to PA, PB and removed the certificate from Client Verify
paulson
parents:
3711
diff
changeset
|
667 |
and has used the quoted values PA, PB, etc. Note that it is up to A |
6be7cf5086ab
Renamed XA, XB to PA, PB and removed the certificate from Client Verify
paulson
parents:
3711
diff
changeset
|
668 |
to compare PA with what she originally sent. |
3474 | 669 |
***) |
670 |
||
3685
5b8c0c8f576e
Full version of TLS including session resumption, but no Oops
paulson
parents:
3683
diff
changeset
|
671 |
(*The mention of her name (A) in X assures A that B knows who she is.*) |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
672 |
goal thy |
3686
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
673 |
"!!evs. [| ALL A. Says A Spy (Key (serverK(Na,Nb,M))) ~: set evs; \ |
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
674 |
\ X = Crypt (serverK(Na,Nb,M)) \ |
3758
188a4fbfaf55
Exchanged the M and SID fields of the FINISHED messages to simplify proofs;
paulson
parents:
3745
diff
changeset
|
675 |
\ (Hash{|Number SID, Nonce M, \ |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
676 |
\ Nonce Na, Number PA, Agent A, \ |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
677 |
\ Nonce Nb, Number PB, Agent B|}); \ |
3676
cbaec955056b
Addition of SessionIDs to the Hello and Finished messages
paulson
parents:
3672
diff
changeset
|
678 |
\ M = PRF(PMS,NA,NB); \ |
3683 | 679 |
\ evs : tls; A ~: bad; B ~: bad |] \ |
3676
cbaec955056b
Addition of SessionIDs to the Hello and Finished messages
paulson
parents:
3672
diff
changeset
|
680 |
\ ==> Notes A {|Agent B, Nonce PMS|} : set evs --> \ |
3683 | 681 |
\ X : parts (spies evs) --> Says B A X : set evs"; |
3686
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
682 |
by (etac rev_mp 1); |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
683 |
by (hyp_subst_tac 1); |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
684 |
by (analz_induct_tac 1); (*22 seconds*) |
3704 | 685 |
by (ALLGOALS (asm_simp_tac (!simpset addsimps [all_conj_distrib]))); |
3711 | 686 |
(*proves ServerResume*) |
687 |
by (ALLGOALS Clarify_tac); |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
688 |
(*ClientKeyExch*) |
3704 | 689 |
by (fast_tac (*blast_tac gives PROOF FAILED*) |
690 |
(!claset addSEs [PMS_Crypt_sessionK_not_spied RSN (2,rev_notE)]) 2); |
|
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
691 |
(*Fake: the Spy doesn't have the critical session key!*) |
3683 | 692 |
by (subgoal_tac "Key (serverK(Na,Nb,PRF(PMS,NA,NB))) ~: analz(spies evsa)" 1); |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
693 |
by (asm_simp_tac (!simpset addsimps [Spy_not_see_MS, |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
694 |
not_parts_not_analz]) 2); |
3474 | 695 |
by (Fake_parts_insert_tac 1); |
3704 | 696 |
val lemma = normalize_thm [RSspec, RSmp] (result()); |
697 |
||
698 |
(*Final version*) |
|
699 |
goal thy |
|
700 |
"!!evs. [| X = Crypt (serverK(Na,Nb,M)) \ |
|
3758
188a4fbfaf55
Exchanged the M and SID fields of the FINISHED messages to simplify proofs;
paulson
parents:
3745
diff
changeset
|
701 |
\ (Hash{|Number SID, Nonce M, \ |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
702 |
\ Nonce Na, Number PA, Agent A, \ |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
703 |
\ Nonce Nb, Number PB, Agent B|}); \ |
3704 | 704 |
\ M = PRF(PMS,NA,NB); \ |
705 |
\ X : parts (spies evs); \ |
|
706 |
\ Notes A {|Agent B, Nonce PMS|} : set evs; \ |
|
707 |
\ Says B Spy (Key (serverK(Na,Nb,M))) ~: set evs; \ |
|
708 |
\ evs : tls; A ~: bad; B ~: bad |] \ |
|
709 |
\ ==> Says B A X : set evs"; |
|
710 |
by (blast_tac (!claset addIs [lemma] |
|
711 |
addEs [serverK_Oops_ALL RSN(2, rev_notE)]) 1); |
|
3474 | 712 |
qed_spec_mp "TrustServerFinished"; |
713 |
||
714 |
||
3704 | 715 |
|
3685
5b8c0c8f576e
Full version of TLS including session resumption, but no Oops
paulson
parents:
3683
diff
changeset
|
716 |
(*This version refers not to ServerFinished but to any message from B. |
5b8c0c8f576e
Full version of TLS including session resumption, but no Oops
paulson
parents:
3683
diff
changeset
|
717 |
We don't assume B has received CertVerify, and an intruder could |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
718 |
have changed A's identity in all other messages, so we can't be sure |
3519
ab0a9fbed4c0
Changing "lost" from a parameter of protocol definitions to a constant.
paulson
parents:
3515
diff
changeset
|
719 |
that B sends his message to A. If CLIENT KEY EXCHANGE were augmented |
3704 | 720 |
to bind A's identity with PMS, then we could replace A' by A below.*) |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
721 |
goal thy |
3686
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
722 |
"!!evs. [| ALL A. Says A Spy (Key (serverK(Na,Nb,M))) ~: set evs; \ |
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
723 |
\ evs : tls; A ~: bad; B ~: bad; \ |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
724 |
\ M = PRF(PMS,NA,NB) |] \ |
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
725 |
\ ==> Notes A {|Agent B, Nonce PMS|} : set evs --> \ |
3683 | 726 |
\ Crypt (serverK(Na,Nb,M)) Y : parts (spies evs) --> \ |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
727 |
\ (EX A'. Says B A' (Crypt (serverK(Na,Nb,M)) Y) : set evs)"; |
3686
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
728 |
by (etac rev_mp 1); |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
729 |
by (hyp_subst_tac 1); |
3686
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
730 |
by (analz_induct_tac 1); (*20 seconds*) |
3704 | 731 |
by (ALLGOALS (asm_simp_tac (!simpset addsimps [ex_disj_distrib]))); |
3711 | 732 |
by (ALLGOALS Clarify_tac); |
3704 | 733 |
(*ServerResume, ServerFinished: by unicity of PMS*) |
734 |
by (REPEAT |
|
735 |
(blast_tac (!claset addSEs [MPair_parts] |
|
736 |
addSDs [Notes_master_imp_Crypt_PMS, |
|
737 |
Says_imp_spies RS parts.Inj] |
|
738 |
addDs [Spy_not_see_PMS, |
|
739 |
Notes_Crypt_parts_spies, |
|
740 |
Crypt_unique_PMS]) 3)); |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
741 |
(*ClientKeyExch*) |
3704 | 742 |
by (blast_tac |
743 |
(!claset addSEs [PMS_Crypt_sessionK_not_spied RSN (2,rev_notE)]) 2); |
|
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
744 |
(*Fake: the Spy doesn't have the critical session key!*) |
3683 | 745 |
by (subgoal_tac "Key (serverK(Na,Nb,PRF(PMS,NA,NB))) ~: analz(spies evsa)" 1); |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
746 |
by (asm_simp_tac (!simpset addsimps [Spy_not_see_MS, |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
747 |
not_parts_not_analz]) 2); |
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
748 |
by (Fake_parts_insert_tac 1); |
3704 | 749 |
val lemma = normalize_thm [RSspec, RSmp] (result()); |
750 |
||
751 |
(*Final version*) |
|
752 |
goal thy |
|
753 |
"!!evs. [| M = PRF(PMS,NA,NB); \ |
|
754 |
\ Crypt (serverK(Na,Nb,M)) Y : parts (spies evs); \ |
|
755 |
\ Notes A {|Agent B, Nonce PMS|} : set evs; \ |
|
756 |
\ Says B Spy (Key (serverK(Na,Nb,M))) ~: set evs; \ |
|
757 |
\ evs : tls; A ~: bad; B ~: bad |] \ |
|
758 |
\ ==> EX A'. Says B A' (Crypt (serverK(Na,Nb,M)) Y) : set evs"; |
|
759 |
by (blast_tac (!claset addIs [lemma] |
|
760 |
addEs [serverK_Oops_ALL RSN(2, rev_notE)]) 1); |
|
761 |
||
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
762 |
qed_spec_mp "TrustServerMsg"; |
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
763 |
|
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
764 |
|
3704 | 765 |
|
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
766 |
(*** Protocol goal: if B receives any message encrypted with clientK |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
767 |
then A has sent it, ASSUMING that A chose PMS. Authentication is |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
768 |
assumed here; B cannot verify it. But if the message is |
3729
6be7cf5086ab
Renamed XA, XB to PA, PB and removed the certificate from Client Verify
paulson
parents:
3711
diff
changeset
|
769 |
ClientFinished, then B can then check the quoted values PA, PB, etc. |
3506 | 770 |
***) |
3704 | 771 |
|
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
772 |
goal thy |
3683 | 773 |
"!!evs. [| evs : tls; A ~: bad; B ~: bad |] \ |
3686
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
774 |
\ ==> (ALL A. Says A Spy (Key(clientK(Na,Nb,PRF(PMS,NA,NB)))) ~: set evs) -->\ |
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
775 |
\ Notes A {|Agent B, Nonce PMS|} : set evs --> \ |
3683 | 776 |
\ Crypt (clientK(Na,Nb,PRF(PMS,NA,NB))) Y : parts (spies evs) --> \ |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
777 |
\ Says A B (Crypt (clientK(Na,Nb,PRF(PMS,NA,NB))) Y) : set evs"; |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
778 |
by (analz_induct_tac 1); (*15 seconds*) |
3711 | 779 |
by (ALLGOALS Clarify_tac); |
3704 | 780 |
(*ClientFinished, ClientResume: by unicity of PMS*) |
781 |
by (REPEAT (blast_tac (!claset delrules [conjI] |
|
782 |
addSDs [Notes_master_imp_Notes_PMS] |
|
783 |
addDs [Notes_unique_PMS]) 3)); |
|
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
784 |
(*ClientKeyExch*) |
3704 | 785 |
by (fast_tac (*blast_tac gives PROOF FAILED*) |
786 |
(!claset addSEs [PMS_Crypt_sessionK_not_spied RSN (2,rev_notE)]) 2); |
|
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
787 |
(*Fake: the Spy doesn't have the critical session key!*) |
3683 | 788 |
by (subgoal_tac "Key (clientK(Na,Nb,PRF(PMS,NA,NB))) ~: analz(spies evsa)" 1); |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
789 |
by (asm_simp_tac (!simpset addsimps [Spy_not_see_MS, |
3480
d59bbf053258
More realistic model: the Spy can compute clientK and serverK
paulson
parents:
3474
diff
changeset
|
790 |
not_parts_not_analz]) 2); |
3474 | 791 |
by (Fake_parts_insert_tac 1); |
3704 | 792 |
val lemma = normalize_thm [RSspec, RSmp] (result()); |
793 |
||
794 |
(*Final version*) |
|
795 |
goal thy |
|
796 |
"!!evs. [| Crypt (clientK(Na,Nb,PRF(PMS,NA,NB))) Y : parts (spies evs); \ |
|
797 |
\ Notes A {|Agent B, Nonce PMS|} : set evs; \ |
|
798 |
\ Says A Spy (Key(clientK(Na,Nb,PRF(PMS,NA,NB)))) ~: set evs; \ |
|
799 |
\ evs : tls; A ~: bad; B ~: bad |] \ |
|
800 |
\ ==> Says A B (Crypt (clientK(Na,Nb,PRF(PMS,NA,NB))) Y) : set evs"; |
|
801 |
by (blast_tac (!claset addIs [lemma] |
|
802 |
addEs [clientK_Oops_ALL RSN(2, rev_notE)]) 1); |
|
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
803 |
qed_spec_mp "TrustClientMsg"; |
3506 | 804 |
|
805 |
||
3685
5b8c0c8f576e
Full version of TLS including session resumption, but no Oops
paulson
parents:
3683
diff
changeset
|
806 |
|
5b8c0c8f576e
Full version of TLS including session resumption, but no Oops
paulson
parents:
3683
diff
changeset
|
807 |
(*** Protocol goal: if B receives ClientFinished, and if B is able to |
5b8c0c8f576e
Full version of TLS including session resumption, but no Oops
paulson
parents:
3683
diff
changeset
|
808 |
check a CertVerify from A, then A has used the quoted |
3729
6be7cf5086ab
Renamed XA, XB to PA, PB and removed the certificate from Client Verify
paulson
parents:
3711
diff
changeset
|
809 |
values PA, PB, etc. Even this one requires A to be uncompromised. |
3506 | 810 |
***) |
811 |
goal thy |
|
3704 | 812 |
"!!evs. [| Says A Spy (Key(clientK(Na,Nb,PRF(PMS,NA,NB)))) ~: set evs;\ |
3686
4b484805b4c4
First working version with Oops event for session keys
paulson
parents:
3685
diff
changeset
|
813 |
\ Says A' B (Crypt (clientK(Na,Nb,PRF(PMS,NA,NB))) Y) : set evs; \ |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
814 |
\ certificate A KA : parts (spies evs); \ |
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
815 |
\ Says A'' B (Crypt (invKey KA) (Hash{|nb, Agent B, Nonce PMS|}))\ |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
816 |
\ : set evs; \ |
3683 | 817 |
\ evs : tls; A ~: bad; B ~: bad |] \ |
3672
56e4365a0c99
TLS now with a distinction between premaster secret and master secret
paulson
parents:
3519
diff
changeset
|
818 |
\ ==> Says A B (Crypt (clientK(Na,Nb,PRF(PMS,NA,NB))) Y) : set evs"; |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
819 |
by (blast_tac (!claset addSIs [TrustClientMsg, UseCertVerify] |
3683 | 820 |
addDs [Says_imp_spies RS parts.Inj]) 1); |
3515
d8a71f6eaf40
Now uses the Notes constructor to distinguish the Client (who has chosen M)
paulson
parents:
3506
diff
changeset
|
821 |
qed "AuthClientFinished"; |
3687
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
822 |
|
fb7d096d7884
Simplified SpyKeys to use sessionK instead of clientK and serverK
paulson
parents:
3686
diff
changeset
|
823 |
(*22/9/97: loads in 622s, which is 10 minutes 22 seconds*) |
3711 | 824 |
(*24/9/97: loads in 672s, which is 11 minutes 12 seconds [stronger theorems]*) |
3745
4c5d3b1ddc75
Client, Server certificates now sent using the separate Certificate rule,
paulson
parents:
3729
diff
changeset
|
825 |
(*29/9/97: loads in 481s, after removing Certificate from ClientKeyExch*) |
3758
188a4fbfaf55
Exchanged the M and SID fields of the FINISHED messages to simplify proofs;
paulson
parents:
3745
diff
changeset
|
826 |
(*30/9/97: loads in 476s, after removing unused theorems*) |
3760
77f71f650433
Strengthened the possibility property for resumption so that it could have
paulson
parents:
3758
diff
changeset
|
827 |
(*30/9/97: loads in 448s, after fixing ServerResume*) |