LTS Termination Proof

by T2Cert

Input

Integer Transition System

Proof

1 Invariant Updates

The following invariants are asserted.

0: TRUE
1: −1 + ___patmp1_post ≤ 01 − ___patmp1_post ≤ 01 − k_243_post ≤ 0−1 + len_263_post ≤ 0k_208_0 ≤ 0−1 + ___patmp1_0 ≤ 01 − ___patmp1_0 ≤ 01 − k_243_0 ≤ 0−1 + len_263_0 ≤ 0
4: TRUE

The invariants are proved as follows.

IMPACT Invariant Proof

2 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
and for every transition t, a duplicate t is considered.

3 Transition Removal

We remove transitions 0, 2 using the following ranking functions, which are bounded by −8.

4: 0
0: 0
1: 0
4: −4
0: −5
1: −6

4 SCC Decomposition

There exist no SCC in the program graph.

Tool configuration

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