LTS Termination Proof

by AProVE


Integer Transition System


1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
f74_0_main_LE f74_0_main_LE f74_0_main_LE: x1 = x1x2 = x2
f74_0_main_LE' f74_0_main_LE' f74_0_main_LE': x1 = x1x2 = x2
f1_0_main_Load f1_0_main_Load f1_0_main_Load: x1 = x1x2 = x2
__init __init __init: x1 = x1x2 = x2
and for every transition t, a duplicate t is considered.

2 SCC Decomposition

We consider subproblems for each of the 1 SCC(s) of the program graph.

2.1 SCC Subproblem 1/1

Here we consider the SCC { f74_0_main_LE, f74_0_main_LE' }.

2.1.1 Transition Removal

We remove transitions 2, 3 using the following ranking functions, which are bounded by 0.

f74_0_main_LE: 1 + 2⋅x1
f74_0_main_LE': 2⋅x1

2.1.2 Trivial Cooperation Program

There are no more "sharp" transitions in the cooperation program. Hence the cooperation termination is proved.

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