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Complexity results for 1-safe nets (1995)

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by Allan Cheng , Javier Esparza , Jens Palsberg
Venue:Theoretical Computer Science
Citations:52 - 7 self
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BibTeX

@INPROCEEDINGS{Cheng95complexityresults,
    author = {Allan Cheng and Javier Esparza and Jens Palsberg},
    title = {Complexity results for 1-safe nets},
    booktitle = {Theoretical Computer Science},
    year = {1995},
    pages = {326--337},
    publisher = {Springer-Verlag}
}

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Abstract

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. 1 Petri net classes Reachability Liveness Deadlock

Keyphrases

1-safe net    complexity result    1-safe free-choice net    1-safe petri net    free-choice net    arbitrary petri net    several standard problem   

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