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arXiv · 1411.4796

Weighted automata on infinite words in the context of Attacker-Defender games

Vesa Halava·Tero Harju·Reino Niskanen·Igor Potapov
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Abstract

We consider infinite-state Attacker-Defender games with reachability objectives. The results of the paper are twofold. Firstly we prove a new language-theoretic result for weighted automata on infinite words and show its encoding into the framework of Attacker-Defender games. Secondly we use this novel concept to prove undecidability for checking existence of a winning strategy in several low-dimensional mathematical games including vector reachability games, word games and braid games.

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Vesa Halava, Tero Harju, Reino Niskanen, Igor Potapov. 2014-11-18. Weighted automata on infinite words in the context of Attacker-Defender games. https://arxiv.org/abs/1411.4796

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