Title
Decision Problems on Unary Probabilistic and Quantum Automata
Abstract
It is well known that the emptiness problem for binary probabilistic automata and so for quantum automata is undecidable. We present the current status of the emptiness problems for unary probabilistic and quantum automata with connections with Skolem's and positivity problems. We also introduce the concept of linear recurrence automata in order to show the connection naturally. Then, we also give possible generalizations of linear recurrence relations and automata on vectors.
Year
DOI
Venue
2016
10.22364/bjmc.2016.4.4.22
BALTIC JOURNAL OF MODERN COMPUTING
Keywords
Field
DocType
emptiness problem,unary alphabet,probabilistic and quantum automata,Skolem's problem,positivity problem
Quantum finite automata,Discrete mathematics,Combinatorics,Decision problem,Automata theory,Unary operation,Probabilistic logic,Probabilistic automaton,Mathematics,ω-automaton,Undecidable problem
Journal
Volume
Issue
ISSN
4
4
2255-8942
Citations 
PageRank 
References 
0
0.34
8
Authors
2
Name
Order
Citations
PageRank
Mika Hirvensalo116321.19
Abuzer Yakaryilmaz216825.31