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The equivalence problem for n-tape finite automata with simple cycles

  • Karel CulikII
  • Matti Linna
Session 1 Automata And Formal Languages
Part of the Lecture Notes in Computer Science book series (LNCS, volume 287)

Abstract

The equivalence problem for 2-tape deterministic finite automata was shown decidable by Bird in 1973, for n-tapes the problem is still open. We show that it is decidable for the restricted class of simple automata. An n-tape deterministic finite automaton is simple if at most one cycle goes through each of its states.

Keywords

Normal Form Span Tree Equivalence Problem Finite Automaton Inclusion Problem 
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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References

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    M. Bird, The Equivalence Problem for Deterministic Two-Tape automata, Journal of Computer and System Sciences 7 (1973), 218–236.Google Scholar
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    M.O. Rabin and D. Scott, Finite Automata and Their Decision Problems, IBM J. Res. Develop. 3 (1959), 114–125.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • Karel CulikII
    • 1
  • Matti Linna
    • 2
  1. 1.Department of Computer ScienceUniversity of South CarolinaColumbiaUSA
  2. 2.Department of MathematicsUniversity of TurkuTurkuFinland

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