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Dual P Systems

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Book cover Membrane Computing (WMC 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5391))

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Abstract

This paper aims to answer the following question: given a P system configuration M, how do we find each configuration N such that N evolves to M in one step? While easy to state, the problem has not a simple answer. To provide a solution to this problem for a general class of P systems with simple communication rules and without dissolution, we introduce the dual P systems. Essentially these systems reverse the rules of the initial P system and find N by applying reversely valid multisets of rules. We prove that in this way we find exactly those configurations N which evolve to M in one step.

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References

  1. Barretta, C., Hunt III, H.B., Marathea, M.V., Ravic, S.S., Rosenkrantz, D.J., Stearns, R.E., Thakurd, M.: Predecessor existence problems for finite discrete dynamical systems. Theoretical Computer Sci. 386, 3–37 (2007)

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© 2009 Springer-Verlag Berlin Heidelberg

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Agrigoroaiei, O., Ciobanu, G. (2009). Dual P Systems. In: Corne, D.W., Frisco, P., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2008. Lecture Notes in Computer Science, vol 5391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-95885-7_7

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  • DOI: https://doi.org/10.1007/978-3-540-95885-7_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-95884-0

  • Online ISBN: 978-3-540-95885-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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