Title
New results on classical and quantum counter automata
Abstract
We show that one-way quantum one-counter automaton with zero-error is more powerful than its probabilistic counterpart on promise problems. Then, we obtain a similar separation result between Las Vegas one-way probabilistic one-counter automaton and one-way deterministic one-counter automaton. We also obtain new results on classical counter automata regarding language recognition. It was conjectured that oneway probabilistic one blind-counter automata cannot recognize Kleene closure of equality language [A. Yakaryilmaz: Superiority of one-way and realtime quantum machines. RAIRO - Theor. Inf. and Applic. 46(4): 615-641 (2012)]. We show that this conjecture is false, and also show several separation results for blind/non-blind counter automata.
Year
Venue
Keywords
2019
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
quantum automata,counter automata,promise problems,blind counter,zero-error,Las-Vegas algorithms
Field
DocType
Volume
Discrete mathematics,Quantum,Kleene star,Automaton,Language recognition,Probabilistic logic,Conjecture,Mathematics
Journal
21.0
Issue
ISSN
Citations 
4.0
1462-7264
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Masaki Nakanishi113121.62
Abuzer Yakaryilmaz216825.31
Aida Gainutdinova3594.95