Geodesic
Returning and non-returning parallel communicating finite automata are equivalent
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 41 (2007) no. 2, pp. 137-145

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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.

DOI : 10.1051/ita:2007014
Classification : 68Q45, 68Q68
Keywords: formal languages, parallel communicating finite automata system, multihead finite automaton, computational power 
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) no. 2, pp. 137-145. doi: 10.1051/ita:2007014
@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},
     pages = {137--145},
     year = {2007},
     publisher = {EDP-Sciences},
     volume = {41},
     number = {2},
     doi = {10.1051/ita:2007014},
     mrnumber = {2350640},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2007014/}
}
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