(0) Obligation:

JBC Problem based on JBC Program:
public class NonPeriodic {

public static void main(String args[]) {
int x = 1, y = 0;

if (args.length >= 1) {
y = -1*args[0].length();
}

// does not terminate for x = 1 and y = 1
while (y > 0)
if (x > 0) x = x - 1;
else {
y = y + 1;
x = y;
}
}
}

(1) JBCToGraph (SOUND transformation)

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
NonPeriodic.main([Ljava/lang/String;)V: Graph of 75 nodes with 0 SCCs.


(3) TerminationGraphToSCCProof (SOUND transformation)

Proven termination by absence of SCCs

(4) TRUE