Returning and non-returning parallel communicating finite automata are equivalent

Ashish Choudhary; Kamala Krithivasan; Victor Mitrana

RAIRO - Theoretical Informatics and Applications (2007)

  • Volume: 41, Issue: 2, page 137-145
  • ISSN: 0988-3754

Abstract

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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.

How to cite

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Choudhary, Ashish, Krithivasan, Kamala, and Mitrana, Victor. "Returning and non-returning parallel communicating finite automata are equivalent." RAIRO - Theoretical Informatics and Applications 41.2 (2007): 137-145. <http://eudml.org/doc/250068>.

@article{Choudhary2007,
abstract = { 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. },
author = {Choudhary, Ashish, Krithivasan, Kamala, Mitrana, Victor},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Formal languages; parallel communicating finite automata system; multihead finite automaton; computational power; multihead finite automata},
language = {eng},
month = {7},
number = {2},
pages = {137-145},
publisher = {EDP Sciences},
title = {Returning and non-returning parallel communicating finite automata are equivalent},
url = {http://eudml.org/doc/250068},
volume = {41},
year = {2007},
}

TY - JOUR
AU - Choudhary, Ashish
AU - Krithivasan, Kamala
AU - Mitrana, Victor
TI - Returning and non-returning parallel communicating finite automata are equivalent
JO - RAIRO - Theoretical Informatics and Applications
DA - 2007/7//
PB - EDP Sciences
VL - 41
IS - 2
SP - 137
EP - 145
AB - 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.
LA - eng
KW - Formal languages; parallel communicating finite automata system; multihead finite automaton; computational power; multihead finite automata
UR - http://eudml.org/doc/250068
ER -

References

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  5. J. Dassow, Gh. Paun and G. Rozenberg, Grammar systems, in [9].  
  6. J. Hartmanis, On nondeterminancy in simple computing devices. Acta Inform.1 (1972) 336–344.  
  7. O.H. Ibarra, On two-way multihead automata. J. Comput. Syst. Sci. 7 (1973) 28–36.  
  8. C. Martín-Vide, A. Mateescu and V. Mitrana, Parallel finite automata systems communicating by states. Int. J. Found. Comput. Sci.13 (2002) 733–749.  
  9. G. Rozenberg, A. Salomaa (eds.), The Handbook of Formal Languages, Springer-Verlag (1997).  

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