Guessing the Buffer Bound for k-Synchronizability

A communicating system is \(k\)-synchronizable if all of the message sequence charts representing the executions can be divided into slices of k sends followed by k receptions. It was previously shown that, for a fixed given k, one could decide whether a communicating system is \(k\)-synchronizable. This result is interesting because the reachability problem can be solved for \(k\)-synchronizable systems. However, the decision procedure assumes that the bound k is fixed. In this paper we improve this result and show that it is possible to decide if such a bound k exists.