Title
Optimal Zielonka-type construction of deterministic asynchronous automata
Abstract
Asynchronous automata are parallel compositions of finitestate processes synchronizing over shared variables. A deep theorem due to Zielonka says that every regular trace language can be represented by a deterministic asynchronous automaton. In this paper we improve the construction, in that the size of the obtained asynchronous automaton is polynomial in the size of a given DFA and simply exponential in the number of processes. We show that our construction is optimal within the class of automata produced by Zielonka-type constructions. In particular, we provide the first non trivial lower bound on the size of asynchronous automata.
Year
DOI
Venue
2010
10.1007/978-3-642-14162-1_5
ICALP (2)
Keywords
Field
DocType
parallel composition,zielonka-type construction,regular trace language,deterministic asynchronous automaton,asynchronous automaton,shared variable,optimal zielonka-type construction,lower bound
Quantum finite automata,Discrete mathematics,Two-way deterministic finite automaton,Combinatorics,Automata theory,Asynchronous cellular automaton,Deterministic automaton,Nondeterministic finite automaton,Computer science,DFA minimization,Timed automaton
Conference
Volume
ISSN
ISBN
6199
0302-9743
3-642-14161-7
Citations 
PageRank 
References 
13
0.60
11
Authors
4
Name
Order
Citations
PageRank
Blaise Genest130425.09
Hugo Gimbert224921.31
Anca Muscholl3117974.92
Igor Walukiewicz4123990.24