(* Title: HOL/Auth/OtwayRees
ID: $Id$
Author: Lawrence C Paulson, Cambridge University Computer Laboratory
Copyright 1996 University of Cambridge
Inductive relation "otway" for the Otway-Rees protocol.
Version that encrypts Nonce NB
From page 244 of
Burrows, Abadi and Needham. A Logic of Authentication.
Proc. Royal Soc. 426 (1989)
*)
OtwayRees = Shared +
consts otway :: "agent set => event list set"
inductive "otway lost"
intrs
(*Initial trace is empty*)
Nil "[]: otway lost"
(*The spy MAY say anything he CAN say. We do not expect him to
invent new nonces here, but he can also use NS1. Common to
all similar protocols.*)
Fake "[| evs: otway lost; B ~= Spy;
X: synth (analz (sees lost Spy evs)) |]
==> Says Spy B X # evs : otway lost"
(*Alice initiates a protocol run*)
OR1 "[| evs: otway lost; A ~= B; B ~= Server |]
==> Says A B {|Nonce (newN evs), Agent A, Agent B,
Crypt {|Nonce (newN evs), Agent A, Agent B|}
(shrK A) |}
# evs : otway lost"
(*Bob's response to Alice's message. Bob doesn't know who
the sender is, hence the A' in the sender field.
We modify the published protocol by NOT encrypting NB.*)
OR2 "[| evs: otway lost; B ~= Server;
Says A' B {|Nonce NA, Agent A, Agent B, X|} : set_of_list evs |]
==> Says B Server
{|Nonce NA, Agent A, Agent B, X,
Crypt {|Nonce NA, Nonce (newN evs),
Agent A, Agent B|} (shrK B)|}
# evs : otway lost"
(*The Server receives Bob's message and checks that the three NAs
match. Then he sends a new session key to Bob with a packet for
forwarding to Alice.*)
OR3 "[| evs: otway lost; B ~= Server;
Says B' Server
{|Nonce NA, Agent A, Agent B,
Crypt {|Nonce NA, Agent A, Agent B|} (shrK A),
Crypt {|Nonce NA, Nonce NB, Agent A, Agent B|} (shrK B)|}
: set_of_list evs |]
==> Says Server B
{|Nonce NA,
Crypt {|Nonce NA, Key (newK evs)|} (shrK A),
Crypt {|Nonce NB, Key (newK evs)|} (shrK B)|}
# evs : otway lost"
(*Bob receives the Server's (?) message and compares the Nonces with
those in the message he previously sent the Server.*)
OR4 "[| evs: otway lost; A ~= B; B ~= Server;
Says S B {|Nonce NA, X, Crypt {|Nonce NB, Key K|} (shrK B)|}
: set_of_list evs;
Says B Server {|Nonce NA, Agent A, Agent B, X',
Crypt {|Nonce NA, Nonce NB, Agent A, Agent B|}
(shrK B)|}
: set_of_list evs |]
==> Says B A {|Nonce NA, X|} # evs : otway lost"
(*This message models possible leaks of session keys. Alice's Nonce
identifies the protocol run.*)
Reveal "[| evs: otway lost; A ~= Spy;
Says B' A {|Nonce NA, Crypt {|Nonce NA, Key K|} (shrK A)|}
: set_of_list evs;
Says A B {|Nonce NA, Agent A, Agent B,
Crypt {|Nonce NA, Agent A, Agent B|} (shrK A)|}
: set_of_list evs |]
==> Says A Spy {|Nonce NA, Key K|} # evs : otway lost"
end