有限自动机子类上同步博弈的制胜策略

arXiv - CS - Formal Languages and Automata Theory Pub Date : 2024-09-11 DOI:arxiv-2409.06971

Henning FernauUniversität Trier, Fachbereich IV, Informatikwissenschaften, Trier, Germany, Carolina HaaseUniversität Trier, Fachbereich IV, Informatikwissenschaften, Trier, Germany, Stefan HoffmannInstitute of Natural Sciences and Mathematics, Ural Federal University, Ekaterinburg, Russia, Mikhail VolkovInstitute of Natural Sciences and Mathematics, Ural Federal University, Ekaterinburg, Russia

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引用次数: 0

摘要

我们展示了同步器在同步博弈中的制胜策略，即在每一个同步自动机中，其过渡单元中的正则 D 类都构成子组

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Winning Strategies for the Synchronization Game on Subclasses of Finite Automata

We exhibit a winning strategy for Synchronizer in the synchronization game on every synchronizing automaton in whose transition monoid the regular D-classes form subsemigroups

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arXiv - CS - Formal Languages and Automata Theory

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