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Polarizationless P Systems with Active Membranes Working in the Minimally Parallel Mode

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Unconventional Computation (UC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4618))

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Abstract

We investigate the computing power and the efficiency of P systems with active membranes without polarizations, working in the minimally parallel mode. Such systems are shown to be computationally complete even when using only rules handling single objects in the membranes and avoiding the division of non-elementary membranes. Moreover, we elaborate an algorithm for solving NP-complete problems, yet in this case we need evolution rules generating at least two objects as well as rules for non-elementary membrane division.

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References

  1. Alhazov, A.: P systems without multiplicities of symbol-objects. Information Processing Letters 100, 124–129 (2006)

    Article  MathSciNet  Google Scholar 

  2. Alhazov, A., Pérez-Jiménez, M.J.: Uniform Solution to QSAT Using Polarizationless Active Membranes. In: Vol. I of Proc. of the Fourth Brainstorming Week on Membrane Computing, Sevilla (Spain), pp. 29–40 (January 30 - February 3, 2006)

    Google Scholar 

  3. Alhazov, A., Freund, R.: Membrane Computing, International Workshop, WMC5, Milano, Italy, 2004, Selected Papers. In: Mauri, G., Păun, G., Pérez-Jiménez, M.J., Rozenberg, G., Salomaa, A. (eds.) WMC 2004. LNCS, vol. 3365, pp. 81–94. Springer, Heidelberg (2005)

    Google Scholar 

  4. Alhazov, A., Freund, R., Păun, Gh.: Computational completeness of P systems with active membranes and two polarizations. In: Margenstern, M. (ed.) MCU 2004. LNCS, vol. 3354, pp. 82–92. Springer, Heidelberg (2005)

    Google Scholar 

  5. Ciobanu, G., Pan, L., Păun, Gh., Pérez-Jiménez, M.J.: P systems with minimal parallelism. Theoretical Computer Science (to appear)

    Google Scholar 

  6. Freund, R., Verlan, S.: A formal framework for P systems. In: Proceedings WMC 8, (to appear, 2007)

    Google Scholar 

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

    MATH  Google Scholar 

  8. Minsky, M.: Computation – Finite and Infinite Machines. Prentice-Hall, Englewood Cliffs (1967)

    MATH  Google Scholar 

  9. Păun, Gh.: P systems with active membranes: Attacking NP-complete problems. Journal of Automata, Languages and Combinatorics 6(1), 75–90 (2001)

    MATH  MathSciNet  Google Scholar 

  10. Păun, Gh.: Membrane Computing. An Introduction. Springer, Heidelberg (2002)

    MATH  Google Scholar 

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Selim G. Akl Cristian S. Calude Michael J. Dinneen Grzegorz Rozenberg H. Todd Wareham

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Freund, R., Păun, G., Pérez-Jiménez, M.J. (2007). Polarizationless P Systems with Active Membranes Working in the Minimally Parallel Mode. In: Akl, S.G., Calude, C.S., Dinneen, M.J., Rozenberg, G., Wareham, H.T. (eds) Unconventional Computation. UC 2007. Lecture Notes in Computer Science, vol 4618. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73554-0_8

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  • DOI: https://doi.org/10.1007/978-3-540-73554-0_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73553-3

  • Online ISBN: 978-3-540-73554-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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