ExecutionLog
|
`- Expected Cost
   |
   +- [f]
   |    0
   |
   +- [Program]
   |    0:While(n  1)
   |        NonDet
   |          {n :~ {1 : 0}}
   |          {Choice
   |             2/3: n :~ {1 : -1 + n}
   |                  Tick(1)
   |             1/3: Tick(1)}
   |
   +- While.step
   |  |
   |  +- [Problem]
   |  |    0:While(n  1)
   |  |        NonDet
   |  |          {n :~ {1 : 0}}
   |  |          {Choice
   |  |             2/3: n :~ {1 : -1 + n}
   |  |                  Tick(1)
   |  |             1/3: Tick(1)}
   |  |
   |  +- [f]
   |  |    0
   |  |
   |  +- Expected Cost Body
   |  |  |
   |  |  `- [1 | ]
   |  |
   |  +- linear-template
   |  |  |
   |  |  `- 1 + [n | n  0]
   |  |
   |  +- [Norms]
   |  |    [[1 | ],[n | n  0]]
   |  |
   |  +- [Invariant]
   |  |    n  1 ==> [1 | ] + h([1 | ],2/3[-1 + n | -1 + n  0] + 1/3[n | n  0])  h([1 | ],[n | n  0])
   |  |    1  1 + n ==> 0  h([1 | ],[n | n  0])
   |  |
   |  `- 3/2[n | n  0]
   |
   `- 3/2[n | n  0]

[Success] 3/2[n | n  0]
Degree: 1