A4 Refereed article in a conference publication

Descriptional Complexity of Winning Sets of Regular Languages




AuthorsMarcus P., Törmä I.

EditorsGalina Jirásková, Giovanni Pighizzini

Conference nameInternational Conference on Descriptional Complexity of Formal Systems

PublisherSpringer Science and Business Media Deutschland GmbH

Publication year2020

JournalLecture Notes in Computer Science

Book title Descriptional Complexity of Formal Systems

Journal name in sourceLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volume12442

First page 130

Last page141

ISBN978-3-030-62535-1

eISBN978-3-030-62536-8

ISSN0302-9743

DOIhttps://doi.org/10.1007/978-3-030-62536-8_11(external)

Self-archived copy’s web addresshttps://research.utu.fi/converis/portal/detail/Publication/51315723(external)


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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