src/HOL/Auth/Event.thy

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Auth/Event.thy	Fri Jun 28 15:26:39 1996 +0200
@@ -0,0 +1,104 @@
+(*  Title:      HOL/Auth/Message
+    ID:         $Id$
+    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
+    Copyright   1996  University of Cambridge
+
+Datatype of events;
+inductive relation "traces" for Needham-Schroeder (shared keys)
+
+WHAT ABOUT ASYMMETRIC KEYS?  NOBODY'S PRIVATE KEY CAN EQUAL SOMEBODY ELSE'S
+  PUBLIC KEY...
+*)
+
+Event = Message + List + 
+
+consts
+  publicKey    :: agent => key
+  serverKey    :: agent => key	(*symmetric keys*)
+
+rules
+  isSym_serverKey "isSymKey (serverKey A)"
+
+consts	(*Initial states of agents -- parameter of the construction*)
+  initState :: agent => msg set
+
+primrec initState agent
+	(*Server knows all keys; other agents know only their own*)
+  initState_Server  "initState Server     = range (Key o serverKey)"
+  initState_Friend  "initState (Friend i) = {Key (serverKey (Friend i))}"
+  initState_Enemy   "initState Enemy  = {Key (serverKey Enemy)}"
+
+(**
+For asymmetric keys: server knows all public and private keys,
+  others know their private key and perhaps all public keys  
+**)
+
+datatype  (*Messages, and components of agent stores*)
+  event = Says agent agent msg
+        | Notes agent msg
+
+consts  
+  sees1 :: [agent, event] => msg set
+
+primrec sees1 event
+           (*First agent recalls all that it says, but NOT everything
+             that is sent to it; it must note such things if/when received*)
+  sees1_Says  "sees1 A (Says A' B X)  = (if A:{A',Enemy} then {X} else {})"
+          (*part of A's internal state*)
+  sees1_Notes "sees1 A (Notes A' X)   = (if A=A' then {X} else {})"
+
+consts  
+  sees :: [agent, event list] => msg set
+
+primrec sees list
+	(*Initial knowledge includes all public keys and own private key*)
+  sees_Nil  "sees A []       = initState A"
+  sees_Cons "sees A (ev#evs) = sees1 A ev Un sees A evs"
+
+
+constdefs
+  knownBy :: [event list, msg] => agent set
+  "knownBy evs X == {A. X: analyze (sees A evs)}"
+
+
+(*Agents generate "random" nonces.  Different agents always generate
+  different nonces.  Different traces also yield different nonces.  Same
+  applies for keys.*)
+(*newK NEEDS AN ARGUMENT TO ALLOW ASYMMETRIC KEYS.  REMOVE AGENT ARGUMENT?
+  NEED AXIOM SAYING THAT NEW KEYS CANNOT EQUAL THE INVERSE OF A PREVIOUS KEY*)
+consts
+  newN :: "agent * event list => nat"
+  newK :: "agent * event list => key"
+
+rules
+  inj_serverKey "inj serverKey"
+
+  inj_newN   "inj(newN)"
+  fresh_newN "Nonce (newN(A,evs)) ~: parts (initState B)" 
+
+  inj_newK   "inj(newK)"
+  fresh_newK "Key (newK(A,evs)) ~: parts (initState B)" 
+  isSym_newK "isSymKey (newK(A,evs))"
+
+
+consts  traces   :: "event list set"
+inductive traces
+  intrs 
+    Nil  "[]: traces"
+
+    (*The enemy MAY say anything he CAN say.  We do not expect him to
+      invent new nonces here, but he can also use NS1.*)
+    Fake "[| evs: traces;  X: synthesize(analyze(sees Enemy evs))
+          |] ==> (Says Enemy B X) # evs : traces"
+
+    NS1  "[| evs: traces;  A ~= Server
+          |] ==> (Says A Server {|Agent A, Agent B, Nonce (newN(A,evs))|}) 
+                 # evs : traces"
+
+    NS2  "[| evs: traces;  
+             evs = (Says A Server {|Agent A, Agent B, Nonce NA|}) # evs'
+          |] ==> (Says Server A 
+                       (Crypt {|Agent A, Agent B, 
+                                Key (newK(Server,evs)), Nonce NA|}
+                              (serverKey A))) # evs : traces"
+end