About: Active Membranes, Proteins on Membranes, Tissue P Systems: Complexity-Related Issues and Challenges     Goto   Sponge   NotDistinct   Permalink

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  • We resume computational complexity aspects of several models of membrane systems, namely P systems with active membranes, P systems with proteins on membranes and tissue P systems both with membrane separation and membrane division. A sequence of common issues is studied in relation to these P system models, and 16 open problems are stated in the text. We question the role of families of P systems and their necessity to solve computationally hard problems in polynomial time. For each P system model we focus on conditions guaranteeing the polynomial equivalence of families of P systems and Turing machines. The ability of P systems to solve NP/co-NP-complete problems in polynomial time (trading space for time) is a very popular issue. Interesting characterizations of the borderline between tractability and intractability, i.e., P/NP, have been recently shown. Similarly important, although less popular, is the relation between NP/co-NP and further classes as PP, the polynomial hierarchy PH and PSPACE. Several models of P systems has been shown to characterize the class PSPACE which itself characterizes parallel computations with an unlimited number of processors but a limited propagation of data between them.
  • We resume computational complexity aspects of several models of membrane systems, namely P systems with active membranes, P systems with proteins on membranes and tissue P systems both with membrane separation and membrane division. A sequence of common issues is studied in relation to these P system models, and 16 open problems are stated in the text. We question the role of families of P systems and their necessity to solve computationally hard problems in polynomial time. For each P system model we focus on conditions guaranteeing the polynomial equivalence of families of P systems and Turing machines. The ability of P systems to solve NP/co-NP-complete problems in polynomial time (trading space for time) is a very popular issue. Interesting characterizations of the borderline between tractability and intractability, i.e., P/NP, have been recently shown. Similarly important, although less popular, is the relation between NP/co-NP and further classes as PP, the polynomial hierarchy PH and PSPACE. Several models of P systems has been shown to characterize the class PSPACE which itself characterizes parallel computations with an unlimited number of processors but a limited propagation of data between them. (en)
Title
  • Active Membranes, Proteins on Membranes, Tissue P Systems: Complexity-Related Issues and Challenges
  • Active Membranes, Proteins on Membranes, Tissue P Systems: Complexity-Related Issues and Challenges (en)
skos:prefLabel
  • Active Membranes, Proteins on Membranes, Tissue P Systems: Complexity-Related Issues and Challenges
  • Active Membranes, Proteins on Membranes, Tissue P Systems: Complexity-Related Issues and Challenges (en)
skos:notation
  • RIV/47813059:19240/14:#0005320!RIV15-MSM-19240___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED1.1.00/02.0070)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 1524
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19240/14:#0005320
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Membrane computing; active membrane; tissue P system; complexity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [86629C087332]
http://linked.open...v/mistoKonaniAkce
  • Moldavská republika
http://linked.open...i/riv/mistoVydani
  • Berlin
http://linked.open...i/riv/nazevZdroje
  • Membrane Computing - 14th International Conference
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Sosík, Petr
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 0302-9743
number of pages
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  • Springer-Verlag
https://schema.org/isbn
  • 978-3-642-54238-1
http://localhost/t...ganizacniJednotka
  • 19240
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