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arXiv · 1701.01971

Backward deterministic and weak alternating $\omega$-automata

Sebastian Preugschat·Thomas Wilke
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Abstract

We present a direct transformation of weak alternating $\omega$-automata into equivalent backward deterministic $\omega$-automata and show (1) how it can be used to obtain a transformation of non-deterministic B\"uchi automata into equivalent backward deterministic automata and (2) that it yields optimal equivalent backward deterministic automata when applied to linear-time temporal logic formulas. (1) uses the alternation-free fragment of the linear-time $\mu$-calculus as an intermediate step; (2) is based on the straightforward translation of linear-time temporal logic into weak alternating $\omega$-automata.

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Sebastian Preugschat, Thomas Wilke. 2017-01-08. Backward deterministic and weak alternating $\omega$-automata. https://arxiv.org/abs/1701.01971

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