P Systems with Gemmation of Mobile Membranes

  • Authors:
  • Daniela Besozzi;Claudio Zandron;Giancarlo Mauri;Nicoletta Sabadini

  • Affiliations:
  • -;-;-;-

  • Venue:
  • ICTCS '01 Proceedings of the 7th Italian Conference on Theoretical Computer Science
  • Year:
  • 2001

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Abstract

P systems are computational models inspired by some biological features of the structure and the functioning of real cells. In this paper we introduce a new kind of communication between membranes, based upon the natural budding of vesicles in a cell. We define the operations of gemmation and fusion of mobile membranes, and we use membrane structures and rules over strings of biological inspiration only. We prove that P systems of this type can generate all recursively enumerable languages and, moreover, the Hamiltonian Path Problem can be solved in a quadratic time. Some open problems are also formulated.