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A Characterization of NP Within Interval-Valued Computing

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Machines, Computations, and Universality (MCU 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9288))

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Abstract

In this paper, a syntactic subclass of polynomial size interval-valued computations is given that characterizes NP, that is, exactly languages with non-deterministically polynomial time complexity can be decided by interval-valued computations of this subclass. This subclass refrains from using product and shift operators aside from a starting section of the computation.

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References

  1. Calude, C.S., Păun, G.: Computing with Cells and Atoms: An Introduction to Quantum, DNA and Membrane Computing. Taylor & Francis/Hemisphere, London, Bristol (2001)

    Google Scholar 

  2. Hopcroft, J.E., Ullman, J.D.: Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading (1979)

    Google Scholar 

  3. McKenzie, P., Wagner, K.W.: The complexity of membership problems for circuits over sets of natural numbers. Comput. complex. 16(3), 211–244 (2007)

    Article  MathSciNet  Google Scholar 

  4. Nagy, B.: A general fuzzy logic using intervals, In: HUCI 2005: 6th International Symposium of Hungarian Researchers on Computational Intelligence, Budapest, Hungary, pp. 613–624 (2005)

    Google Scholar 

  5. Nagy, B.: An interval-valued computing device. In: CiE 2005, Computability in Europe: New Computational Paradigms, Amsterdam, Netherlands, pp. 166–177 (2005)

    Google Scholar 

  6. Nagy, B.: Új Számítási Paradigmák: Bevezetés az Intervallum-értékű, a DNS-, a Membrán- és a Kvantumszámítógépek elméletébe (New Computing Paradigms: Introduction to Interval-Valued, DNA, Membrane and Quantum Computing, in Hungarian). Typotex, Budapest (2014)

    Google Scholar 

  7. Nagy, B., Major, S.R.: Connection between interval-valued computing and cellular automata. In: CINTI 2013: 14th IEEE International Symposium on Computational Intelligence and Informatics, Budapest, Hungary, pp. 225–230 (2013)

    Google Scholar 

  8. Nagy, B., Vályi, S.: Solving a PSPACE-complete problem by a linear interval-valued computation. In: CiE 2006, Computability in Europe: Logical Approaches to Computational Barriers. University of Wales, Swansea, UK, pp. 216–225 (2006)

    Google Scholar 

  9. Nagy, B., Vályi, S.: Visual reasoning by generalized interval-values and interval temporal logic. In: CEUR Workshop Proceedings, vol. 274, pp. 13–26 (2007)

    Google Scholar 

  10. Nagy, B., Vályi, S.: Interval-valued computations and their connection with PSPACE. Theor. Comput. Sci. 394, 208–222 (2008)

    Article  MATH  Google Scholar 

  11. Nagy, B., Vályi, S.: Prime factorization by interval-valued computing. Publicationes Mathematicae Debrecen 79, 539–551 (2011)

    Article  MathSciNet  Google Scholar 

  12. Nagy, B., Vályi, S.: Computing discrete logarithm by interval-valued paradigm. Electron. Proc. Theor. Comput. Sci. 143, 76–86 (2014)

    Article  Google Scholar 

  13. Papadimitriou, C.: Computational Complexity. Addison Wesley, Reading (1994)

    Google Scholar 

  14. Păun, Gh., Rozenberg, G., Salomaa, A.: DNA Computing: New computing paradigms. Springer, Berlin (1998)

    Google Scholar 

  15. Păun, G., Rozenberg, G., Salomaa, A. (eds.): Handbook of Membrane Computing. Oxford University Press, Oxford (2010)

    Google Scholar 

  16. Rozenberg, G., Bäck, T., Kok, J.N. (eds.): Handbook of Natural Computing. Springer, Heidelberg (2012)

    MATH  Google Scholar 

  17. Sipser, M.: Introduction to the Theory of Computation. Cengage Learning, Boston (2012)

    Google Scholar 

  18. Woods, D., Naughton, T.J.: Optical computing. Appl. Math. Comput. 215, 1417–1430 (2009)

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgments

Reviewers’ remarks and advices are gratefully acknowledged.

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Correspondence to Sándor Vályi .

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Nagy, B., Vályi, S. (2015). A Characterization of NP Within Interval-Valued Computing. In: Durand-Lose, J., Nagy, B. (eds) Machines, Computations, and Universality. MCU 2015. Lecture Notes in Computer Science(), vol 9288. Springer, Cham. https://doi.org/10.1007/978-3-319-23111-2_11

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  • DOI: https://doi.org/10.1007/978-3-319-23111-2_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23110-5

  • Online ISBN: 978-3-319-23111-2

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