A polynomial complexity class in P systems using membrane division

  • Authors:
  • Mario J. Pérez Jiménez;Álvaro Romero Jiménez;Fernando Sancho Caparrini

  • Affiliations:
  • Dpto. Ciencias de la Computación e Inteligencia Artificial, E.T.S. Ingeniería Informática, Universidad de Sevilla, España;Dpto. Ciencias de la Computación e Inteligencia Artificial, E.T.S. Ingeniería Informática, Universidad de Sevilla, España;Dpto. Ciencias de la Computación e Inteligencia Artificial, E.T.S. Ingeniería Informática, Universidad de Sevilla, España

  • Venue:
  • Journal of Automata, Languages and Combinatorics
  • Year:
  • 2006

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Abstract

In this paper we introduce the complexity class PMCF of all decision problems solvable in polynomial time by a family of P systems belonging to a given class of membrane systems with input, F. We show that the problem of determining if a boolean formula in conjunctive normal form is satisfiable belongs to PMCAM, where AM is the class of recognizer P systems with input and with active membranes using 2-division. We conclude that the class NP is contained in the above mentioned complexity class.