![]() Genrich, Einfache Nicht-secp entiella Prozesse, Gesellshaft fur Mathematik and Datenverarbeitung, Birlinghoven, West Germany, 1970 0216.27402 Google Scholar Specialized versions of our results for the case of Petri nets are also included. Since the class of forward-conflict-free GPN’s contains properly the structures of computation graphs of Karp and Miller and marked graphs, some results appearing in these studies can be obtained as corollaries. The main results obtained are (i) every strongly connected, strongly repetitive and forward- (or backward-) conflict-free GPN must be conservative, and (ii) every strongly connected, conservative and forward- (or backward-) concurrent-free GPN must be strongly repetitive. We also study the concept of strongly connected, strongly repetitive and conservative GPN’s. We distinguish forward-conflict-free, backward-conflict-free, forward-concurrent-free and backward-concurrent-free GPN’s. Termination properties of this generalized formalism are investigated. A generalization of Petri nets and vector addition systems, called GPN and MGPN, is introduced in this paper.
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