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/*******************************************************************************
* Copyright (c) 2017 Politecnico di Torino and others.
*
* All rights reserved. This program and the accompanying materials
* are made available under the terms of the Apache License, Version 2.0
* which accompanies this distribution, and is available at
* http://www.apache.org/licenses/LICENSE-2.0
*******************************************************************************/
package mcnet.components;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import com.microsoft.z3.BoolExpr;
import com.microsoft.z3.Context;
import com.microsoft.z3.Expr;
import com.microsoft.z3.IntExpr;
import com.microsoft.z3.Model;
import com.microsoft.z3.Solver;
import com.microsoft.z3.Status;
/**Various checks for specific properties in the network.
*
*/
public class Checker {
Context ctx;
Network net;
NetContext nctx;
Solver solver;
ArrayList<BoolExpr> constraints;
public BoolExpr [] assertions;
public Status result;
public Model model;
public Checker(Context context,NetContext nctx,Network network){
this.ctx = context;
this.net = network;
this.nctx = nctx;
this.solver = ctx.mkSolver();
this.constraints = new ArrayList<BoolExpr>();
}
/**Resets the constraints
*
*/
public void clearState (){
this.solver.reset();
this.constraints = new ArrayList<BoolExpr>();
}
/**Checks whether the source provided can reach the destination
*
* @param src
* @param dest
* @return
*/
public IsolationResult checkIsolationProperty (NetworkObject src, NetworkObject dest){
assert(net.elements.contains(src));
assert(net.elements.contains(dest));
solver.push ();
addConstraints();
Expr p0 = ctx.mkConst("check_isolation_p0_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.packet);
Expr p1 = ctx.mkConst("check_isolation_p1_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.packet);
Expr n_0 =ctx.mkConst("check_isolation_n_0_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
Expr n_1 =ctx.mkConst("check_isolation_n_1_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
IntExpr t_0 = ctx.mkIntConst("check_isolation_t0_"+src.getZ3Node()+"_"+dest.getZ3Node());
IntExpr t_1 = ctx.mkIntConst("check_isolation_t1_"+src.getZ3Node()+"_"+dest.getZ3Node());
// Constraint1 recv(n_0,destNode,p0,t_0)
this.solver.add((BoolExpr)nctx.recv.apply(n_0, dest.getZ3Node(), p0, t_0));
// Constraint2 send(srcNode,n_1,p1,t_1)
this.solver.add((BoolExpr)nctx.send.apply(src.getZ3Node(), n_1, p1, t_1));
// Constraint3 nodeHasAddr(srcNode,p1.srcAddr)
this.solver.add((BoolExpr)nctx.nodeHasAddr.apply(src.getZ3Node(), nctx.pf.get("src").apply(p1)));
// Constraint4 p1.origin == srcNode
this.solver.add(ctx.mkEq(nctx.pf.get("origin").apply(p1), src.getZ3Node()));
// Constraint5 nodeHasAddr(destNode,p1.destAddr)
this.solver.add((BoolExpr)nctx.nodeHasAddr.apply(dest.getZ3Node(), nctx.pf.get("dest").apply(p1)));
//NON sembrano necessari
// this.solver.add(z3.Or(this.ctx.nodeHasAddr(src.getZ3Node(), this.ctx.packet.src(p0)),\
// this.ctx.nodeHasAddr(n_0, this.ctx.packet.src(p0)),\
// this.ctx.nodeHasAddr(n_1, this.ctx.packet.src(p0))))
//this.solver.add(this.ctx.packet.dest(p1) == this.ctx.packet.dest(p0))
// Constraint6 p1.origin == p0.origin
this.solver.add(ctx.mkEq(nctx.pf.get("origin").apply(p1),nctx.pf.get("origin").apply(p0)));
// Constraint7 nodeHasAddr(destNode, p0.destAddr)
this.solver.add((BoolExpr)nctx.nodeHasAddr.apply(dest.getZ3Node(), nctx.pf.get("dest").apply(p0)));
result = this.solver.check();
model = null;
assertions = this.solver.getAssertions();
if (result == Status.SATISFIABLE){
model = this.solver.getModel();
}
this.solver.pop();
return new IsolationResult(ctx,result, p0, n_0, t_1, t_0, nctx, assertions, model);
}
public IsolationResult CheckIsolationFlowProperty (NetworkObject src, NetworkObject dest){
assert(net.elements.contains(src));
assert(net.elements.contains(dest));
solver.push ();
addConstraints();
Expr p = ctx.mkConst("check_isolation_p_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.packet);
Expr n_0 =ctx.mkConst("check_isolation_n_0_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
Expr n_1 =ctx.mkConst("check_isolation_n_1_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
Expr n_2 =ctx.mkConst("check_isolation_n_1_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
IntExpr t_0 = ctx.mkIntConst("check_isolation_t0_"+src.getZ3Node()+"_"+dest.getZ3Node());
IntExpr t_1 = ctx.mkIntConst("check_isolation_t1_"+src.getZ3Node()+"_"+dest.getZ3Node());
IntExpr t_2 = ctx.mkIntConst("check_isolation_t2_"+src.getZ3Node()+"_"+dest.getZ3Node());
// Constraint1 recv(n_0,destNode,p,t_0)
this.solver.add((BoolExpr)nctx.recv.apply(n_0, dest.getZ3Node(), p, t_0));
// Constraint2 send(srcNode,n_1,p1,t_1)
this.solver.add((BoolExpr)nctx.send.apply(src.getZ3Node(), n_1, p, t_1));
// Constraint3 nodeHasAddr(srcNode,p.srcAddr)
this.solver.add((BoolExpr)nctx.nodeHasAddr.apply(src.getZ3Node(), nctx.pf.get("src").apply(p)));
// Constraint4 p.origin == srcNode
this.solver.add(ctx.mkEq(nctx.pf.get("origin").apply(p), src.getZ3Node()));
Expr p_2 = ctx.mkConst("check_isolation_p_flow_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.packet);
// Constraint5 there does not exist p_2, n_2, t_2 :
// send(destNode,n_2,p_2,t_2) &&
// p_2.srcAddr == p. destAddr &&
// p_2.srcPort == p.destPort &&
// p_2.destPort == p.srcPort &&
// p_2.destt == p.src &&
// t_2 < t_0
this.solver.add(ctx.mkNot(ctx.mkExists(new Expr[]{p_2,n_2,t_2},
ctx.mkAnd(
(BoolExpr)nctx.send.apply(dest.getZ3Node(), n_2, p_2, t_2),
ctx.mkEq(nctx.pf.get("src").apply(p_2), nctx.pf.get("dest").apply(p)),
ctx.mkEq(nctx.pf.get("src_port").apply(p_2), nctx.pf.get("dest_port").apply(p)),
ctx.mkEq(nctx.pf.get("dest_port").apply(p_2), nctx.pf.get("src_port").apply(p)),
ctx.mkEq(nctx.pf.get("dest").apply(p_2), nctx.pf.get("src").apply(p)),
ctx.mkLt(t_2,t_0)),1,null,null,null,null)));
result = this.solver.check();
model = null;
assertions = this.solver.getAssertions();
if (result == Status.SATISFIABLE){
model = this.solver.getModel();
}
this.solver.pop();
return new IsolationResult(ctx,result, p, n_0, t_1, t_0, nctx, assertions, model);
}
public IsolationResult CheckNodeTraversalProperty (NetworkObject src, NetworkObject dest, NetworkObject node){
assert(net.elements.contains(src));
assert(net.elements.contains(dest));
solver.push ();
addConstraints();
Expr p = ctx.mkConst("check_isolation_p_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.packet);
Expr n_0 =ctx.mkConst("check_isolation_n_0_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
Expr n_1 =ctx.mkConst("check_isolation_n_1_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
Expr n_2 =ctx.mkConst("check_isolation_n_1_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
IntExpr t_0 = ctx.mkIntConst("check_isolation_t0_"+src.getZ3Node()+"_"+dest.getZ3Node());
IntExpr t_1 = ctx.mkIntConst("check_isolation_t1_"+src.getZ3Node()+"_"+dest.getZ3Node());
IntExpr t_2 = ctx.mkIntConst("check_isolation_t2_"+src.getZ3Node()+"_"+dest.getZ3Node());
// Constraint1 recv(n_0,destNode,p,t_0)
this.solver.add((BoolExpr)nctx.recv.apply(n_0, dest.getZ3Node(), p, t_0));
// Constraint2 send(srcNode,n_1,p1,t_1)
this.solver.add((BoolExpr)nctx.send.apply(src.getZ3Node(), n_1, p, t_1));
// Constraint3 nodeHasAddr(srcNode,p.srcAddr)
this.solver.add((BoolExpr)nctx.nodeHasAddr.apply(src.getZ3Node(), nctx.pf.get("src").apply(p)));
// Constraint4 p.origin == srcNode
this.solver.add(ctx.mkEq(nctx.pf.get("origin").apply(p), src.getZ3Node()));
// Constraint5 there does not exist n_2, t_2 : recv(n_2,node,p,t_2) && t_2 < t_0
this.solver.add(ctx.mkNot(ctx.mkExists(new Expr[]{n_2,t_2},
ctx.mkAnd(
(BoolExpr)nctx.recv.apply(n_2, node.getZ3Node(), p, t_2),
ctx.mkLt(t_2,t_0)),1,null,null,null,null)));
// Constraint 6 there does not exist n_2, t_2 : send(node,n_2,p,t_2) && t_2 < t_0
this.solver.add(ctx.mkNot(ctx.mkExists(new Expr[]{n_2,t_2},
ctx.mkAnd(
(BoolExpr)nctx.send.apply(node.getZ3Node(), n_2, p, t_2),
ctx.mkLt(t_2,t_0)),1,null,null,null,null)));
result = this.solver.check();
model = null;
assertions = this.solver.getAssertions();
if (result == Status.SATISFIABLE){
model = this.solver.getModel();
}
this.solver.pop();
return new IsolationResult(ctx,result, p, n_0, t_1, t_0, nctx, assertions, model);
}
public IsolationResult CheckLinkTraversalProperty (NetworkObject src, NetworkObject dest, NetworkObject le0, NetworkObject le1){
assert(net.elements.contains(src));
assert(net.elements.contains(dest));
solver.push ();
addConstraints();
Expr p = ctx.mkConst("check_isolation_p_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.packet);
Expr n_0 =ctx.mkConst("check_isolation_n_0_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
Expr n_1 =ctx.mkConst("check_isolation_n_1_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
IntExpr t_0 = ctx.mkIntConst("check_isolation_t0_"+src.getZ3Node()+"_"+dest.getZ3Node());
IntExpr t_1 = ctx.mkIntConst("check_isolation_t1_"+src.getZ3Node()+"_"+dest.getZ3Node());
IntExpr t_2 = ctx.mkIntConst("check_isolation_t2_"+src.getZ3Node()+"_"+dest.getZ3Node());
// Constraint1 recv(n_0,destNode,p,t_0)
this.solver.add((BoolExpr)nctx.recv.apply(n_0, dest.getZ3Node(), p, t_0));
// Constraint2 send(srcNode,n_1,p1,t_1)
this.solver.add((BoolExpr)nctx.send.apply(src.getZ3Node(), n_1, p, t_1));
// Constraint3 nodeHasAddr(srcNode,p.srcAddr)
this.solver.add((BoolExpr)nctx.nodeHasAddr.apply(src.getZ3Node(), nctx.pf.get("src").apply(p)));
// Constraint4 p.origin == srcNode
this.solver.add(ctx.mkEq(nctx.pf.get("origin").apply(p), src.getZ3Node()));
// Constraint5 ∃ t_1, t_2 :
// send(linkNode0,linkNode1,p,t_1) &&
// recv(linkNode0,linkNode1,p,t_2) &&
// t_1 < t_0 &&
// t_2 < t_0
this.solver.add(ctx.mkExists(new Expr[]{t_1,t_2},
ctx.mkAnd(
(BoolExpr)nctx.send.apply(le0.getZ3Node(), le1.getZ3Node(), p, t_1),
(BoolExpr)nctx.recv.apply(le0.getZ3Node(), le1.getZ3Node(), p, t_2),
ctx.mkLt(t_1,t_0),
ctx.mkLt(t_2,t_0)),1,null,null,null,null));
result = this.solver.check();
model = null;
assertions = this.solver.getAssertions();
if (result == Status.SATISFIABLE){
model = this.solver.getModel();
}
this.solver.pop();
return new IsolationResult(ctx,result, p, n_0, t_1, t_0, nctx, assertions, model);
}
public Result CheckDataIsolationPropertyCore (NetworkObject src, NetworkObject dest){
assert(net.elements.contains(src));
assert(net.elements.contains(dest));
List<BoolExpr> constr = this.getConstraints();
Expr p = ctx.mkConst("check_isolation_p_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.packet);
Expr n_0 =ctx.mkConst("check_isolation_n_0_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
IntExpr t = ctx.mkIntConst("check_isolation_t_"+src.getZ3Node()+"_"+dest.getZ3Node());
// Constraint1 recv(n_0,destNode,p,t)
constr.add((BoolExpr)nctx.recv.apply(n_0, dest.getZ3Node(), p, t));
// Constraint2 p.origin == srcNode
this.solver.add(ctx.mkEq(nctx.pf.get("origin").apply(p), src.getZ3Node()));
this.solver.push();
// Constraint3 for each constraint( n -> constraint)
ArrayList<BoolExpr> names =new ArrayList<BoolExpr>();
for(BoolExpr con : constr){
BoolExpr n = ctx.mkBoolConst(""+con);
names.add(n);
this.solver.add(ctx.mkImplies(n, con));
}
BoolExpr[] nam = new BoolExpr[names.size()];
result = this.solver.check(names.toArray(nam));
Result ret =null;
if (result == Status.SATISFIABLE){
System.out.println("SAT");
ret = new Result(ctx,this.solver.getModel());
}else if(result == Status.UNSATISFIABLE){
System.out.println("unsat");
ret = new Result(ctx,this.solver.getUnsatCore());
}
this.solver.pop();
return ret;
}
public DataIsolationResult CheckDataIsolationProperty(NetworkObject src, NetworkObject dest){
assert(net.elements.contains(src));
assert(net.elements.contains(dest));
solver.push ();
addConstraints();
Expr p = ctx.mkConst("check_isolation_p_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.packet);
Expr n_0 =ctx.mkConst("check_isolation_n_0_"+src.getZ3Node()+"_"+dest.getZ3Node(), nctx.node);
IntExpr t = ctx.mkIntConst("check_isolation_t_"+src.getZ3Node()+"_"+dest.getZ3Node());
// Constraint1 recv(n_0,destNode,p,t)
this.solver.add((BoolExpr)nctx.recv.apply(n_0, dest.getZ3Node(), p, t));
// Constraint2 p.origin == srcNode
this.solver.add(ctx.mkEq(nctx.pf.get("origin").apply(p), src.getZ3Node()));
result = this.solver.check();
model = null;
assertions = this.solver.getAssertions();
if (result == Status.SATISFIABLE){
model = this.solver.getModel();
}
this.solver.pop();
return new DataIsolationResult(ctx,result, p, n_0, t, nctx, assertions, model);
}
public void addConstraints(){
nctx.addConstraints(solver);
net.addConstraints(solver);
for (NetworkObject el : net.elements)
el.addConstraints(solver);
}
public List<BoolExpr> getConstraints(){
Solver l = ctx.mkSolver();
nctx.addConstraints(l);
net.addConstraints(l);
for (NetworkObject el : net.elements)
el.addConstraints(l);
return Arrays.asList(l.getAssertions());
}
}
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