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.
@article{ITA_2007__41_2_137_0,
author = {Choudhary, Ashish and Krithivasan, Kamala and Mitrana, Victor},
title = {Returning and non-returning parallel communicating finite automata are equivalent},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
volume = {41},
year = {2007},
pages = {137-145},
doi = {10.1051/ita:2007014},
mrnumber = {2350640},
zbl = {pre05235504},
language = {en},
url = {http://dml.mathdoc.fr/item/ITA_2007__41_2_137_0}
}
Choudhary, Ashish; Krithivasan, Kamala; Mitrana, Victor. Returning and non-returning parallel communicating finite automata are equivalent. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 41 (2007) pp. 137-145. doi : 10.1051/ita:2007014. http://gdmltest.u-ga.fr/item/ITA_2007__41_2_137_0/
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