1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
|
/*******************************************************************************
* 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.netobjs;
import java.util.ArrayList;
import java.util.List;
import com.microsoft.z3.BoolExpr;
import com.microsoft.z3.Context;
import com.microsoft.z3.DatatypeExpr;
import com.microsoft.z3.Expr;
import com.microsoft.z3.FuncDecl;
import com.microsoft.z3.IntExpr;
import com.microsoft.z3.Solver;
import mcnet.components.NetContext;
import mcnet.components.Network;
import mcnet.components.NetworkObject;
/**
* Model of an anti-spam node
*
*/
public class PolitoAntispam extends NetworkObject{
List<BoolExpr> constraints;
Context ctx;
DatatypeExpr politoAntispam;
Network net;
NetContext nctx;
FuncDecl isInBlacklist;
public PolitoAntispam(Context ctx, Object[]... args) {
super(ctx, args);
}
@Override
protected void init(Context ctx, Object[]... args) {
this.ctx = ctx;
isEndHost=false;
constraints = new ArrayList<BoolExpr>();
z3Node = ((NetworkObject)args[0][0]).getZ3Node();
politoAntispam = z3Node;
net = (Network)args[0][1];
nctx = (NetContext)args[0][2];
//net.saneSend(this);
}
@Override
public DatatypeExpr getZ3Node() {
return politoAntispam;
}
@Override
protected void addConstraints(Solver solver) {
BoolExpr[] constr = new BoolExpr[constraints.size()];
solver.add(constraints.toArray(constr));
}
public void installAntispam (int[] blackList){
Expr n_0 = ctx.mkConst(politoAntispam+"_n_0", nctx.node);
Expr n_1 = ctx.mkConst(politoAntispam+"_n_1", nctx.node);
Expr p_0 = ctx.mkConst(politoAntispam+"_p_0", nctx.packet);
IntExpr t_0 = ctx.mkIntConst(politoAntispam+"_t_0");
IntExpr t_1 = ctx.mkIntConst(politoAntispam+"_t_1");
IntExpr ef_0 = ctx.mkIntConst(politoAntispam+"_ef_0");
isInBlacklist = ctx.mkFuncDecl(politoAntispam+"_isInBlacklist", ctx.mkIntSort(), ctx.mkBoolSort());
BoolExpr[] blConstraint = new BoolExpr[blackList.length];
if(blackList.length != 0){
for (int i=0;i<blackList.length;i++)
blConstraint[i]=(ctx.mkEq(ef_0,ctx.mkInt(blackList[i])));
//Constraint1a if(isInBlackList(ef_0) == or(for bl in blacklist (ef_0==bl)) ? true : false
constraints.add(ctx.mkForall(new Expr[]{ef_0}, ctx.mkIff((BoolExpr)isInBlacklist.apply(ef_0),ctx.mkOr(blConstraint)),1,null,null,null,null));
}else{
//Constraint1b isInblackList(ef_0) == false
constraints.add(ctx.mkForall(new Expr[]{ef_0}, ctx.mkEq((BoolExpr)isInBlacklist.apply(ef_0), ctx.mkBool(false)),1,null,null,null,null));
}
//Constraint2 send(politoAntispam, n_0, p, t_0) && p.proto(POP3_RESP) ->
// (exist n_1,t_1 : (recv(n_1, politoAntispam, p, t_1) && t_1 < t_0)) && !isInBlackList(p.emailFrom)
constraints.add( ctx.mkForall(new Expr[]{n_0, p_0, t_0},
ctx.mkImplies(ctx.mkAnd((BoolExpr)nctx.send.apply(politoAntispam, n_0, p_0, t_0), ctx.mkEq(nctx.pf.get("proto").apply(p_0), ctx.mkInt(nctx.POP3_RESPONSE))),
ctx.mkAnd( ctx.mkExists(new Expr[]{n_1, t_1},
ctx.mkAnd((BoolExpr)nctx.recv.apply(n_1, politoAntispam, p_0, t_1), ctx.mkLt(t_1 , t_0)),1,null,null,null,null),
ctx.mkNot((BoolExpr)isInBlacklist.apply(nctx.pf.get("emailFrom").apply(p_0))))),1,null,null,null,null));
//Constraint3 send(politoAntispam, n_0, p, t_0) && p.proto(POP3_REQ) ->
// (exist n_1,t_1 : (recv(n_1, politoAntispam, p, t_1) && t_1 < t_0))
constraints.add( ctx.mkForall(new Expr[]{n_0, p_0, t_0},
ctx.mkImplies(ctx.mkAnd((BoolExpr)nctx.send.apply(politoAntispam, n_0, p_0, t_0), ctx.mkEq(nctx.pf.get("proto").apply(p_0), ctx.mkInt(nctx.POP3_REQUEST))),
ctx.mkAnd(ctx.mkExists(new Expr[]{n_1, t_1},
ctx.mkAnd((BoolExpr)nctx.recv.apply(n_1, politoAntispam, p_0, t_1),
ctx.mkLt(t_1 , t_0)),1,null,null,null,null))),1,null,null,null,null));
//Constraint4 send(politoAntispam, politoErrFunction, p, t_0) ->
// (exist n_1,t_1 : (recv(n_1, politoAntispam, p, t_1) && t_1 < t_0 && p.emailFrom ==1))
constraints.add( ctx.mkForall(new Expr[]{n_0, p_0, t_0},
ctx.mkImplies((BoolExpr)nctx.send.apply(politoAntispam, nctx.nm.get("politoErrFunction").getZ3Node(), p_0, t_0),
ctx.mkAnd(ctx.mkExists(new Expr[]{n_1, t_1},
ctx.mkAnd((BoolExpr)nctx.recv.apply(n_1, politoAntispam, p_0, t_1),
ctx.mkLt(t_1 , t_0),
ctx.mkEq(nctx.pf.get("emailFrom").apply(p_0),ctx.mkInt(1))),1,null,null,null,null))),1,null,null,null,null));
//Constraint5 send(politoAntispam, n_0, p, t_0) -> p.proto == POP_REQ || p.protpo == POP_RESP
constraints.add( ctx.mkForall(new Expr[]{n_0, p_0, t_0},
ctx.mkImplies((BoolExpr)nctx.send.apply(politoAntispam, n_0, p_0, t_0),
ctx.mkOr( ctx.mkEq(nctx.pf.get("proto").apply(p_0), ctx.mkInt(nctx.POP3_REQUEST)),
ctx.mkEq(nctx.pf.get("proto").apply(p_0), ctx.mkInt(nctx.POP3_RESPONSE)))),1,null,null,null,null));
//Constraint6 send(politoAntispam, n_0, p, t_0) -> nodeHasAddr(politoAntispam,p.src)
constraints.add( ctx.mkForall(new Expr[]{n_0, p_0, t_0},
ctx.mkImplies((BoolExpr)nctx.send.apply(politoAntispam, n_0, p_0, t_0),
ctx.mkNot((BoolExpr)nctx.nodeHasAddr.apply(politoAntispam,nctx.pf.get("src").apply(p_0)))),1,null,null,null,null));
}
}
|
