Time-free solution to SAT problem using P systems with active membranes

  • Authors:

  • Tao Song;Luis F. Macías-Ramos;Linqiang Pan;Mario J. Pérez-Jiménez

  • Affiliations:

  • Key Laboratory of Image Processing and Intelligent Control, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China;Department of Computer Science and Artificial Intelligence, University of Sevilla, Avda. Reina Mercedes s/n, 41012 Sevilla, Spain;Key Laboratory of Image Processing and Intelligent Control, School of Automation, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China;Department of Computer Science and Artificial Intelligence, University of Sevilla, Avda. Reina Mercedes s/n, 41012 Sevilla, Spain

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2014

Quantified Score

Hi-index 5.23

Visualization

Abstract

P systems are a class of distributed and parallel computation models inspired by the structure and the functioning of living cells. P systems have been used to solve computation hard problems, where the execution of each rule is completed in unit time (a global clock is assumed for timing and synchronizing the execution of rules). The assumption that the execution of each rule takes exactly one time unit plays an vital role to make a system working synchronously, and it has also been used to characterize the computational efficiency and time complexity of a system. In this work, we investigate the computation power of P systems without such time assumption. Specifically, we give a time-free solution to SAT problem using P systems with active membranes in the sense that the correctness of the solution does not depend on the precise timing of the involved rules.