author  paulson 
Thu, 18 Sep 1997 13:24:04 +0200  
changeset 3683  aafe719dff14 
parent 3659  eddedfe2f3f8 
child 3961  6a8996fb7d99 
permissions  rwrr 
1995  1 
(* Title: HOL/Auth/Yahalom 
1985
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ID: $Id$ 
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Author: Lawrence C Paulson, Cambridge University Computer Laboratory 
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Copyright 1996 University of Cambridge 
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Inductive relation "yahalom" for the Yahalom protocol. 
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From page 257 of 
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Burrows, Abadi and Needham. A Logic of Authentication. 
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Proc. Royal Soc. 426 (1989) 
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*) 
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1995  13 
Yahalom = Shared + 
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consts yahalom :: event list set 
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inductive "yahalom" 
1985
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intrs 
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(*Initial trace is empty*) 
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Nil "[]: yahalom" 
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2032  21 
(*The spy MAY say anything he CAN say. We do not expect him to 
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invent new nonces here, but he can also use NS1. Common to 
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all similar protocols.*) 
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Fake "[ evs: yahalom; B ~= Spy; 
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X: synth (analz (spies evs)) ] 
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==> Says Spy B X # evs : yahalom" 
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(*Alice initiates a protocol run*) 
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YM1 "[ evs1: yahalom; A ~= B; Nonce NA ~: used evs1 ] 
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==> Says A B {Agent A, Nonce NA} # evs1 : yahalom" 
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(*Bob's response to Alice's message. Bob doesn't know who 
1995  33 
the sender is, hence the A' in the sender field.*) 
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YM2 "[ evs2: yahalom; B ~= Server; Nonce NB ~: used evs2; 
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Says A' B {Agent A, Nonce NA} : set evs2 ] 
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==> Says B Server 
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{Agent B, Crypt (shrK B) {Agent A, Nonce NA, Nonce NB}} 
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# evs2 : yahalom" 
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(*The Server receives Bob's message. He responds by sending a 
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new session key to Alice, with a packet for forwarding to Bob.*) 
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YM3 "[ evs3: yahalom; A ~= Server; Key KAB ~: used evs3; 
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Says B' Server 
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{Agent B, Crypt (shrK B) {Agent A, Nonce NA, Nonce NB}} 
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: set evs3 ] 
1995  46 
==> Says Server A 
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{Crypt (shrK A) {Agent B, Key KAB, Nonce NA, Nonce NB}, 
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Crypt (shrK B) {Agent A, Key KAB}} 
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# evs3 : yahalom" 
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1995  51 
(*Alice receives the Server's (?) message, checks her Nonce, and 
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uses the new session key to send Bob his Nonce.*) 

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YM4 "[ evs4: yahalom; A ~= Server; 
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Says S A {Crypt (shrK A) {Agent B, Key K, Nonce NA, Nonce NB}, 
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X} : set evs4; 
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Says A B {Agent A, Nonce NA} : set evs4 ] 
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==> Says A B {X, Crypt K (Nonce NB)} # evs4 : yahalom" 
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(*This message models possible leaks of session keys. The Nonces 
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identify the protocol run. Quoting Server here ensures they are 
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correct.*) 

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Oops "[ evso: yahalom; A ~= Spy; 
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Says Server A {Crypt (shrK A) 
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{Agent B, Key K, Nonce NA, Nonce NB}, 
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X} : set evso ] 
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==> Says A Spy {Nonce NA, Nonce NB, Key K} # evso : yahalom" 
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constdefs 
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KeyWithNonce :: [key, nat, event list] => bool 
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"KeyWithNonce K NB evs == 
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EX A B na X. 
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Says Server A {Crypt (shrK A) {Agent B, Key K, na, Nonce NB}, X} 
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: set evs" 
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1985
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end 