# Denning-Sacco shared key
#
# Modelled after the description in the SPORE library
# http://www.lsv.ens-cachan.fr/spore/denningSacco.html
#

usertype Key;
usertype SessionKey;
usertype TimeStamp;
usertype ExpiredTimeStamp;
secret k: Function;
const Fresh: Function;
const Compromised: Function;

protocol denningSacco(I,R,S)
{
    role I
    {
        var W: Ticket;
        var Kir: SessionKey;
        var T: TimeStamp;

        send_1(I,S, I,R );
        read_2(S,I, {R, Kir, T, W}k(I,S) );
        send_3(I,R, W);
        claim_I1(I,Niagree);
        claim_I2(I,Nisynch);
        claim_I3(I,Secret,Kir);
        claim_I4(I,Empty, (Fresh,Kir));
    }    
    
    role R
    {
        var Kir: SessionKey;
        var T: TimeStamp;

        read_3(I,R, {Kir,I,T}k(R,S));
        claim_R1(R,Niagree);
        claim_R2(R,Nisynch);
        claim_R3(R,Secret,Kir);
        claim_R4(R,Empty, (Fresh,Kir));
    }
    
    role S
    {
        var W: Ticket;
        const Kir: SessionKey;
        const T: TimeStamp;

        read_1(I,S, I,R );
        send_2(S,I, {R, Kir, T, {Kir, I,T}k(R,S)}k(I,S));
    }    
}

const Alice,Bob,Simon,Eve: Agent;

untrusted Eve;
const kee: SessionKey;
const tee: TimeStamp;
compromised k(Eve,Simon);