Geodesic
Some results on regular expressions for multitape finite automata
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 2, pp. 82-90

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We consider sets of word tuples accepted by multitape finite automata. We use the known notation for regular expressions that describes languages accepted by one-tape automata. Nevertheless, the interpretation of the “concatenation” operation is different in this case. The algebra of events for multitape finite automata is defined in the same way as for one-tape automata. It is shown that the introduced algebra is a Kleene algebra. It is also shown that some known results for the algebra of events accepted by one-tape finite automata are valid in this case too.
Keywords: Regular expressions, algebra of events, multitape finite automata. 
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T. A. Grigoryan. Some results on regular expressions for multitape finite automata. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 2, pp. 82-90. http://geodesic.mathdoc.fr/item/UZERU_2019_53_2_a1/