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arXiv · 2004.13668

Descriptional Complexity of Winning Sets of Regular Languages

Pierre Marcus·Ilkka Törmä
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Abstract

We investigate certain word-construction games with variable turn orders. In these games, Alice and Bob take turns on choosing consecutive letters of a word of fixed length, with Alice winning if the result lies in a predetermined target language. The turn orders that result in a win for Alice form a binary language that is regular whenever the target language is, and we prove some upper and lower bounds for its state complexity based on that of the target language.

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Pierre Marcus, Ilkka Törmä. 2020-04-28. Descriptional Complexity of Winning Sets of Regular Languages. https://arxiv.org/abs/2004.13668

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