LTS Termination Proof

by T2Cert

Input

Integer Transition System

Transitions: (pre-variables and post-variables)

0	0	1:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ Result_4_0 − Result_4_post ≤ 0 ∧ − Result_4_0 + Result_4_post ≤ 0
2	1	0:		0 ≤ 0 ∧ 0 ≤ 0 ∧ − Result_4_post + Result_4_post ≤ 0 ∧ Result_4_post − Result_4_post ≤ 0 ∧ − Result_4_1 + Result_4_1 ≤ 0 ∧ Result_4_1 − Result_4_1 ≤ 0 ∧ − Result_4_0 + Result_4_0 ≤ 0 ∧ Result_4_0 − Result_4_0 ≤ 0

We consider the following cutpoint-transitions:

and for every transition t, a duplicate t is considered.

We remove transitions 0, 1 using the following ranking functions, which are bounded by −8.

There exist no SCC in the program graph.

T2Cert