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On the Computational Capacity of Parallel Communicating Finite Automata

  • Henning Bordihn
  • Martin Kutrib
  • Andreas Malcher
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5257)

Abstract

Systems of parallel finite automata communicating by states are investigated. We consider deterministic and nondeterministic devices and distinguish four working modes. It is known that systems in the most general mode are as powerful as one-way multihead finite automata. Here we solve some open problems on the computational capacity of systems working in the remaining modes. In particular, it is shown that deterministic returning and non-returning devices are equivalent, and that there are languages which are accepted by deterministic returning and centralized systems but cannot be accepted by deterministic non-returning centralized systems. Furthermore, we show that nondeterministic centralized systems are strictly more powerful than their deterministic variants. Finally, incomparability with the class of (deterministic) (linear) context-free languages as well as the Church-Rosser languages is derived.

Keywords

Transition Function Finite Automaton Computational Capacity Input Symbol Query State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Henning Bordihn
    • 1
  • Martin Kutrib
    • 2
  • Andreas Malcher
    • 2
  1. 1.Institut für InformatikUniversität PotsdamPotsdamGermany
  2. 2.Institut für InformatikUniversität GiessenGiessenGermany

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