LTS Termination Proof

by AProVE


Integer Transition System


1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
l4 l4 l4: x1 = x1x2 = x2x3 = x3x4 = x4
l1 l1 l1: x1 = x1x2 = x2x3 = x3x4 = x4
l3 l3 l3: x1 = x1x2 = x2x3 = x3x4 = x4
l0 l0 l0: x1 = x1x2 = x2x3 = x3x4 = x4
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 { l1, l0 }.

2.1.1 Transition Removal

We remove transitions 1, 4 using the following ranking functions, which are bounded by 0.

l0: x3 + x4
l1: x3 + x4

2.1.2 Trivial Cooperation Program

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

Tool configuration