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A characterisation of NL using membrane systems without charges and dissolution

Murphy, Niall and Woods, Damien (2008) A characterisation of NL using membrane systems without charges and dissolution. Technical Report NUIM-CS-TR-2008-01, National University of Ireland Maynooth. pp. 1-12.

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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 circuits, membrane systems are dened as uniform families. To date, polynomial time uniformity was the accepted uniformity notion for membrane systems. Here, we introduce the idea of using AC0 and L uniformities 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, so it seems that our tighter uniformities are more reasonable for these systems. Interestingly, other systems that are known to be lower bounded by P are shown to retain their computational power under the new uniformity conditions. Similarly, a number of membrane systems that are lower bounded by PSPACE retain their power under the new uniformity conditions.

Item Type: Article
Additional Information: Niall Murphy is funded by the Irish Research Council for Science, Engineering and Technology. Damien Woods is funded by Science Foundation Ireland grant number 04/IN3/1524.
Keywords: membrane systems; NL; P-systems; dissolution; AC0 and L uniformities;
Subjects: Science & Engineering > Computer Science
Item ID: 2366
Depositing User: CS Editor
Date Deposited: 18 Jan 2011 16:49
Journal or Publication Title: Technical Report NUIM-CS-TR-2008-01, National University of Ireland Maynooth
Publisher: Dept. of Computer Science, NUI Maynooth
Refereed: Yes
URI:

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