Test/aitest0/Intervals.bpl


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

const N: int;
axiom 0 <= N;

procedure P(K: int)
  requires 0 <= K;
{
  var b: bool, x, k: int;

  if (!b) {
    b := !b;
  }
  x := if b then 13 else 10;
  k := K;
  while (k != 0) {
    x := x + k;
    k := k - 1;
  }
  assert 13 <= x;
}

procedure Thresholds0()
{
  var i: int;
  i := 0;
  while (i < 200)
  {
    i := i + 1;
  }
  assert i == 200;
}

procedure Thresholds1()
{
  var i: int;
  i := 0;
  while (i <= 199)
  {
    i := i + 1;
  }
  assert i == 200;
}

procedure Thresholds2()
{
  var i: int;
  i := 100;
  while (0 < i)
  {
    i := i - 1;
  }
  assert i == 0;
}

procedure Thresholds3()
{
  var i: int;
  i := 0;
  while (i < 200)
  {
    i := i + 1;
  }
  assert i == 199;  // error
}

procedure Thresholds4()
{
  var i: int;
  i := 0;
  while (i + 3 < 203)
  {
    i := i + 1;
  }
  assert i * 2 == 400;  // error: this would hold in an execution, but /infer:j is too weak to infer invariant i<=200
}