Time and Synchronization in Membrane Systems

  • Authors:
  • Matteo Cavaliere;Dragoş Sburlan

  • Affiliations:
  • Department of Computer Science and Artificial Intelligence, University of Sevilla, Av. Reina Mercedes, 41012, Sevilla, Spain. martew@inwind.it (Corresp.);Dept. of Comp. Sci. and Artif. Intell., Univ. of Sevilla, Av. Reina Mercedes, 41012, Sevilla, Spain, and Dept. of Informatics and Numerical Methods, Ovidius Univ. of Constantza, 124 Mamaia Bv., Co ...

  • Venue:
  • Fundamenta Informaticae - Contagious Creativity - In Honor of the 80th Birthday of Professor Solomon Marcus
  • Year:
  • 2004

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Abstract

Membrane systems are parallel computational devices inspired from the cell functioning. Since the original definition, a standard feature of membrane systems is the fact that each rule of the system is executed in exactly one time-unit. However, this hypothesis seems not to have a counterpart in real world. In fact, in cells, chemical reactions might take different times to be exe-cuted. Therefore, a natural step is to associate to each rule of a membrane system a certain time of execution. We are interested in membrane systems, called time-free, working independently from the assigned execution time of the rules. A basic and interesting problem in time-free membrane systems consists in the synchronization of different rules, running in parallel, and having unknown execution times. Here, we present different ways to approach this problem within the framework of membrane systems. Several research proposals are also suggested.