Compositional semantics and behavioral equivalences for P Systems

  • Authors:
  • Roberto Barbuti;Andrea Maggiolo-Schettini;Paolo Milazzo;Simone Tini

  • Affiliations:
  • Dipartimento di Informatica, Università di Pisa, Largo Bruno Pontecorvo 3, 56127 Pisa, Italy;Dipartimento di Informatica, Università di Pisa, Largo Bruno Pontecorvo 3, 56127 Pisa, Italy;Dipartimento di Informatica, Università di Pisa, Largo Bruno Pontecorvo 3, 56127 Pisa, Italy;Dipartimento di Scienze della Cultura, Politiche e dellInformazione, Università dellInsubria, Via Valleggio 11, 22100 Como, Italy

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2008

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Abstract

The aim of the paper is to give a compositional semantics in the style of the Structural Operational Semantics (SOS) and to study behavioral equivalence notions for P Systems. Firstly, we consider P Systems with maximal parallelism and without priorities. We define a process algebra, called P Algebra, whose terms model membranes, we equip the algebra with a Labeled Transition System (LTS) obtained through SOS transition rules, and we study how some equivalence notions defined over the LTS model apply in our case. Then, we consider P Systems with priorities and extend the introduced framework to deal with them. We prove that our compositional semantics reflects correctly maximal parallelism and priorities.