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State and transition complexity of Watson-Crick finite automata

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Fundamentals of Computation Theory (FCT 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1684))

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Abstract

We consider the number of states and the number of transitions in Watson-Crick finite (non-deterministic) automata as descriptional complexity measures. The succinctness of recognizing regular languages by Watson-Crick (arbitrary or 1-limited) automata in comparison with non-deterministic finite automata is investigated, as well as decidability and computability questions. Major differences are found between finite automata and Watson-Crick finite automata from both these points of view.

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References

  1. C. Câmpeanu, N. Sântean, S. Yu, Minimal cover-automata for finite languages, International Workshop on Implementing Automata, WIA 98, Rouen, 1998, 32–42.

    Google Scholar 

  2. J. Dassow, Gh. Păun, Regulated Rewriting in Formal Language Theory, Springer-Verlag, Berlin, 1989.

    Google Scholar 

  3. J. Engelfriet, G. Rozenberg, Fixed point languages, equality languages, and representations of recursively enumerable languages, Journal of the ACM, 27 (1980), 499–518.

    Article  MATH  MathSciNet  Google Scholar 

  4. R. Freund, Gh. Păun, G. Rozenberg, A. Salomaa, Watson-Crick finite automata, Proc. of the Third Annual DIMACS Symp. on DNA Based Computers, Philadelphia, 1997, 305–317.

    Google Scholar 

  5. R. Freund, Gh. Păun, G. Rozenberg, A. Salomaa, Watson-Crick automata, Technical Report 97-13, Dept. of Computer Sci., Leiden Univ., 1997.

    Google Scholar 

  6. J. Gruska, Descriptional complexity of context-free languages, Proc. MFCS’ 73, High Tatras, 1973, 71–83.

    Google Scholar 

  7. J. Hromkovic, One-way multihead deterministic finite automata, Acta Informatica, 19, 4 (1983), 377–384.

    Article  MATH  MathSciNet  Google Scholar 

  8. O. H. Ibarra, C. E. Kim, On 3-head versus 2-head finite automata, Inform. Control, 4 (1975), 193–200.

    MATH  MathSciNet  Google Scholar 

  9. Gh. Păun, G. Rozenberg, A. Salomaa, DNA Computing. New Computing Paradigms, Springer-Verlag, Heidelberg, 1998.

    MATH  Google Scholar 

  10. A. L. Rosenberg, On multihead finite automata, IBM J. R. and D., 10 (1966), 388–394.

    Article  MATH  Google Scholar 

  11. G. Rozenberg, A. Salomaa, eds., Handbook of Formal Languages, Springer-Verlag, Heidelberg, 1997.

    MATH  Google Scholar 

  12. K. Salomaa, S. Yu, Q. Zhuang, The state complexities of some basic operations on regular languages, Theoretical Computer Sci., 125 (1994), 315–328.

    Article  MATH  MathSciNet  Google Scholar 

  13. S. Yu, Regular languages, Chapter 2 in vol. 1 of [11], 41–110.

    Google Scholar 

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© 1999 Springer-Verlag Berlin Heidelberg

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Păun, A., Păun, M. (1999). State and transition complexity of Watson-Crick finite automata. In: Ciobanu, G., Păun, G. (eds) Fundamentals of Computation Theory. FCT 1999. Lecture Notes in Computer Science, vol 1684. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48321-7_34

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  • DOI: https://doi.org/10.1007/3-540-48321-7_34

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66412-3

  • Online ISBN: 978-3-540-48321-2

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