arXiv Open Access 2020

Descriptional Complexity of Winning Sets of Regular Languages

Pierre Marcus Ilkka Törmä
Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

Penulis (2)

P

Pierre Marcus

I

Ilkka Törmä

Format Sitasi

Marcus, P., Törmä, I. (2020). Descriptional Complexity of Winning Sets of Regular Languages. https://arxiv.org/abs/2004.13668

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2020
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓