(**************************************************************
 *                                                            *
 * This file is modified from ProVerif 2.00.                  *
 *                                                            *
 * ProVerif 2.00 is by                                        *
 *  Bruno Blanchet, Vincent Cheval, and Marc Sylvestre        *
 *  Copyright (C) INRIA, CNRS 2000-2018                       *
 *                                                            *
 * The authors of the changes since ProVerif 2.00 are left    *
 * anonymous for submission to IEEE Security and Privacy 2021 *
 *                                                            *
 **************************************************************)

(*

    This program is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation; either version 2 of the License, or
    (at your option) any later version.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details (in file LICENSE).

    You should have received a copy of the GNU General Public License
    along with this program; if not, write to the Free Software
    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA

*)
pred c/1 decompData, elimVar.

fun host/1.

fun encrypt/2.

query c:secretA[].
query c:secretB[].

reduc

(* attacker *)
c:encrypt(m,k) & c:k -> c:m;
c:x & c:y -> c:encrypt(x,y);
c:x -> c:host(x);


c:host(shrA[]);
c:host(shrB[]);

(* A *)

c:X -> c:N[X];
c:X -> c:encrypt((Na[X], N[X], host(shrA[]), X), shrA[]);

c:encrypt((Na[host(shrB[])],key), shrA[]) -> c:encrypt(secretA[], key);

(* B *)

c:x & c:y -> c:encrypt((Nb[y],x,y,host(shrB[])), shrB[]);

c:encrypt((Nb[host(shrA[])],key), shrB[]) -> c:encrypt(secretB[], key);

(* Server *)

c:x & c:host(shra) & c:host(shrb) 
& c:encrypt((na, x,host(shra), host(shrb)), shra) 
& c:encrypt((nb, x,host(shra), host(shrb)), shrb)
-> c:encrypt((na, k[x,shra,shrb]), shra);

c:x & c:host(shra) & c:host(shrb) 
& c:encrypt((na, x,host(shra), host(shrb)), shra) 
& c:encrypt((nb, x,host(shra), host(shrb)), shrb)
-> c:encrypt((nb,k[x,shra,shrb]), shrb).

