Exact Affine Counter Automata

Autor: Masaki Nakanishi, Kamil Khadiev, Krišjānis Prūsis, Jevgēnijs Vihrovs, Abuzer Yakaryılmaz
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Proceedings in Theoretical Computer Science, Vol 252, Iss Proc. AFL 2017, Pp 205-218 (2017)
Druh dokumentu: article
ISSN: 2075-2180
DOI: 10.4204/EPTCS.252.20
Popis: We introduce an affine generalization of counter automata, and analyze their ability as well as affine finite automata. Our contributions are as follows. We show that there is a language that can be recognized by exact realtime affine counter automata but by neither 1-way deterministic pushdown automata nor realtime deterministic k-counter automata. We also show that a certain promise problem, which is conjectured not to be solved by two-way quantum finite automata in polynomial time, can be solved by Las Vegas affine finite automata. Lastly, we show that how a counter helps for affine finite automata by showing that the language MANYTWINS, which is conjectured not to be recognized by affine, quantum or classical finite state models in polynomial time, can be recognized by affine counter automata with one-sided bounded-error in realtime.
Databáze: Directory of Open Access Journals