Title
Exact Affine Counter Automata
Abstract
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.
Year
DOI
Venue
2017
10.4204/EPTCS.252.20
ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE
DocType
Issue
ISSN
Conference
252
2075-2180
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Masaki Nakanishi113121.62
Kamil Khadiev2267.92
Krisjanis Prusis3133.63
Jevgenijs Vihrovs4103.92
Abuzer Yakaryilmaz516825.31