On the Complexity of Symbolic Finite-State Automata

November 10, 2020 · The Ethereal · 🏛 arXiv.org

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Authors Dana Fisman, Hadar Frenkel, Sandra Zilles arXiv ID 2011.05389 Category cs.FL: Formal Languages Cross-listed cs.LG Citations 3 Venue arXiv.org Last Checked 2 months ago
Abstract
We revisit the complexity of procedures on SFAs (such as intersection, emptiness, etc.) and analyze them according to the measures we find suitable for symbolic automata: the number of states, the maximal number of transitions exiting a state, and the size of the most complex transition predicate. We pay attention to the special forms of SFAs: {normalized SFAs} and {neat SFAs}, as well as to SFAs over a {monotonic} effective Boolean algebra.
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