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    The computational power of membrane systems under tight uniformity conditions


    Murphy, Niall and Woods, Damien (2011) The computational power of membrane systems under tight uniformity conditions. Natural Computing, 10 (1). pp. 613-632. ISSN 1572-9796

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    Abstract

    We apply techniques from complexity theory to a model of biological cellular membranes known as membrane systems or P-systems. Like Boolean circuits, membrane systems are defined as uniform families of computational devices. To date, polynomial time uniformity has been the accepted uniformity notion for membrane systems. Here, we introduce the idea of using AC 0-uniformity and investigate the computational power of membrane systems under these tighter conditions. It turns out that the computational power of some systems is lowered from P to NL when using AC 0-semi-uniformity, so we argue that this is a more reasonable uniformity notion for these systems as well as others. Interestingly, other P-semi-uniform systems that are known to be lower-bounded by P are shown to retain their P lower-bound under the new tighter semi-uniformity condition. Similarly, a number of membrane systems that are known to solve PSPACE-complete problems retain their computational power under tighter uniformity conditions.

    Item Type: Article
    Keywords: Membrane systems; P-systems; Computational complexity; NL; Uniformity; Semi-uniformity;
    Academic Unit: Faculty of Science and Engineering > Computer Science
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 12412
    Identification Number: https://doi.org/10.1007/s11047-010-9244-7
    Depositing User: Damien Woods
    Date Deposited: 13 Feb 2020 12:16
    Journal or Publication Title: Natural Computing
    Publisher: Springer
    Refereed: Yes
    URI:

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