Attacking the common algorithmic problem by recognizer p systems

  • Authors:
  • Mario J. Pérez Jiménez;Francisco J. Romero Campero

  • Affiliations:
  • Dpto. Computer Science and Artificial Intelligence, E.T.S. Ingeniería Informática. Universidad de Sevilla, Sevilla, España;Dpto. Computer Science and Artificial Intelligence, E.T.S. Ingeniería Informática. Universidad de Sevilla, Sevilla, España

  • Venue:
  • MCU'04 Proceedings of the 4th international conference on Machines, Computations, and Universality
  • Year:
  • 2004

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Abstract

Many NP-complete problems can be viewed as special cases of the Common Algorithmic Problem (CAP). In a precise sense, which will be defined in the paper, one may say that CAP has a property of local universality. In this paper we present an effective solution to the decision version of the CAP using a family of recognizer P systems with active membranes. The analysis of the solution presented here will be done from the point of view of complexity classes in P systems.