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arXiv · 2601.15104

A Myhill-Nerode Characterization and Active Learning for One-Clock Timed Automata

Kyveli Doveri·Pierre Ganty·B. Srivathsan
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Abstract

We present a Myhill-Nerode style characterization for languages recognized by one-clock deterministic timed automata (1-DTA). Although there is only one clock, distinct automata may reset it differently along the same word. This adds a significant challenge in the search for a canonical automaton. Our characterization is based on a new perspective of 1-DTAs in terms of "half-integral" words that they accept, along with the reset information encoded by them. We apply our results to develop L* style algorithms that learn the canonical 1-DTA.

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Kyveli Doveri, Pierre Ganty, B. Srivathsan. 2026-01-21. A Myhill-Nerode Characterization and Active Learning for One-Clock Timed Automata. https://arxiv.org/abs/2601.15104

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