The Complexity of Boolean State Separation (Technical Report)
Abstract
For a Boolean type of nets $\tau$, a transition system $A$ is synthesizeable into a $\tau$-net $N$ if and only if distinct states of $A$ correspond to distinct markings of $N$, and $N$ prevents a transition firing if there is no related transition in $A$. The former property is called $\tau$-state separation property ($\tau$-SSP) while the latter -- $\tau$-event/state separation property ($\tau$-ESSP). $A$ is embeddable into the reachability graph of a $\tau$-net $N$ if and only if $A$ has the $\tau$-SSP. This paper presents a complete characterization of the computational complexity of \textsc{$\tau$-SSP} for all Boolean Petri net types.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2020
- DOI:
- 10.48550/arXiv.2010.00825
- arXiv:
- arXiv:2010.00825
- Bibcode:
- 2020arXiv201000825T
- Keywords:
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- Computer Science - Logic in Computer Science;
- Computer Science - Computational Complexity