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arXiv · 2205.04392

$\omega$-Regular Energy Problems

Sven Dziadek·Uli Fahrenberg·Philipp Schlehuber-Caissier
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Abstract

We show how to efficiently solve problems involving a quantitative measure, here called energy, as well as a qualitative acceptance condition, expressed as a B\"uchi or Parity objective, in finite weighted automata and in one-clock weighted timed automata. Solving the former problem and extracting the corresponding witness is our main contribution and is handled by a modified version of the Bellman-Ford algorithm interleaved with Couvreur's algorithm. The latter problem is handled via a reduction to the former relying on the corner-point abstraction. All our algorithms are freely available and implemented in a tool based on the open-source platforms TChecker and~Spot.

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Sven Dziadek, Uli Fahrenberg, Philipp Schlehuber-Caissier. 2022-05-09. $\omega$-Regular Energy Problems. https://arxiv.org/abs/2205.04392

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