Revistes Publicacions URV: Triangle - llenguatge, literatura, computació> 2011

Minimal Parallelism and Number of Membrane Polarizations

  • Identification data

    Identifier: RP:4419
    Handle: https://hdl.handle.net/20.500.11797/RP4419
    Authors:
    Alhazov, Artiom
    Abstract:
    It is known that the satisfiability problem (SAT) can be efficiently solved by a uniform family of P systems with active membranes that have two polarizations working in a maximally parallel way. We study P systems with active membranes without non-elementary membrane division, working in minimally parallel way. The main question we address is what number of polarizations is sufficient for an efficient computation depending on the types of rules used. In particular, we show that it is enough to have four polarizations, sequential evolution rules changing polarizations, polarizationless non-elementary membrane division rules and polarizationless rules of sending an object out. The same problem is solved with the standard evolution rules, rules of sending an object out and polarizationless non-elementary membrane division rules, with six polarizations. It is an open question whether these numbers are optimal.

  • Others:

    Author, as appears in the article.: Alhazov, Artiom
    Keywords: language
    Abstract: It is known that the satisfiability problem (SAT) can be efficiently solved by a uniform family of P systems with active membranes that have two polarizations working in a maximally parallel way. We study P systems with active membranes without non-elementary membrane division, working in minimally parallel way. The main question we address is what number of polarizations is sufficient for an efficient computation depending on the types of rules used. In particular, we show that it is enough to have four polarizations, sequential evolution rules changing polarizations, polarizationless non-elementary membrane division rules and polarizationless rules of sending an object out. The same problem is solved with the standard evolution rules, rules of sending an object out and polarizationless non-elementary membrane division rules, with six polarizations. It is an open question whether these numbers are optimal.
    Journal publication year: 2011
    Publication Type: info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article