Closed form formula construction to enumerate control related states of K-th order S3PR system (with a Top Left side non-sharing resource place) of Petri nets
Daniel Yuh Chao, Tsung Hsien Yu, Sou Chein Wu · 2014
Earlier, Chao pioneered the very first closed-form solution of the number of reachable and other states for marked graphs (MG) and k-th order system which is the simplest class of S3PR (Systems of Simple Sequential Processes with Resources). This paper progresses one step further on enumerating reachable (forbidden, live and deadlock) states for top k-th order systems (one non-sharing resource place in the top position of the left-side process, below denoted as Top-Left ) with a formula depending on parameter k for a subclass of nets with k sharing resources.