Reversible P Systems to Simulate Fredkin Circuits

  • Authors:
  • Alberto Leporati;Claudio Zandron;Giancarlo Mauri

  • Affiliations:
  • Dipartimento di Informatica, Sistemistica e Comunicazione Università degli Studi di Milano - Bicocca Via Bicocca degli Arcimboldi 8, 20126 Milano, Italy. E-mail: {leporati,zandron,mauri}@disc ...;Dipartimento di Informatica, Sistemistica e Comunicazione Università degli Studi di Milano - Bicocca Via Bicocca degli Arcimboldi 8, 20126 Milano, Italy. E-mail: {leporati,zandron,mauri}@disc ...;Dipartimento di Informatica, Sistemistica e Comunicazione Università degli Studi di Milano - Bicocca Via Bicocca degli Arcimboldi 8, 20126 Milano, Italy. E-mail: {leporati,zandron,mauri}@disc ...

  • Venue:
  • Fundamenta Informaticae - SPECIAL ISSUE MCU2004
  • Year:
  • 2006

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Abstract

We introduce energy-based P systems as a parallel and distributed model of computation in which the amount of energy manipulated and/or consumed during computations is taken into account. Basing upon the seminal paper of Fredkin and Toffoli on conservative logic, we first show how energy-based P systems can be used to simulate the Fredkin gate, a reversible and conservative three-input/three-output boolean gate which is functionally complete for boolean logic. Then, we show how any reversible Fredkin circuit can be simulated by energy-based P systems whose number of membranes is independent of the number of gates occurring in the simulated circuit. The simulating P systems turn out to be themselves reversible and conservative.