| Issue |
RAIRO-Theor. Inf. Appl.
Volume 41, Number 2, April-June 2007
|
|
|---|---|---|
| Page(s) | 137 - 145 | |
| DOI | https://doi.org/10.1051/ita:2007014 | |
| Published online | 18 July 2007 | |
Returning and non-returning parallel communicating finite automata are equivalent
1
Dept of Computer Science and Engineering, Indian Institute of Technology,
Madras, Chennai, 600036 India;
ashishc@cse.iitm.ernet.in
2
Dept of Computer Science and Engineering, Indian Institute of Technology,
Madras, Chennai, 600036 India;
kamala@iitm.ernet.in
3
Faculty of Mathematics and Computer Science, University of Bucharest,
Str. Academiei 14, 010014, Bucharest, Romania.
4
Research Group in Mathematical Linguistics, Rovira i Virgili University,
Pl. Imperial Tarraco 1, 43005, Tarragona, Spain;
vmi@urv.net
Received:
24
May
2005
Accepted:
30
March
2006
A parallel communicating automata system consists of several automata working independently in parallel and communicating with each other by request with the aim of recognizing a word. Rather surprisingly, returning parallel communicating finite automata systems are equivalent to the non-returning variants. We show this result by proving the equivalence of both with multihead finite automata. Some open problems are finally formulated.
Mathematics Subject Classification: 68Q45 / 68Q68
Key words: Formal languages / parallel communicating finite automata system / multihead finite automaton / computational power
© EDP Sciences, 2007
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