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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