Abstract

<p>We study the complexity of several standard problems for 1-safe Petri nets and some of its subclasses. We prove that reachability, liveness, and deadlock are all PSPACE-complete for 1-safe nets. We also prove that deadlock is NP-complete for free-choice nets and for 1-safe free-choice nets. Finally, we prove that for arbitrary Petri nets, deadlock is equivalent to reachability and liveness.</p><p> </p><p>This paper is to be presented at <em>FST & TCS, Foundations of Software Technology & Theoretical Computer Science</em>, to be held 15-17 December 1993, in Bombay, India.</p><p>A version of the paper with most proofs omitted is to appear in the proceedings.</p>

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