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Minimization Strategies for Maximally Parallel Multiset Rewriting Systems

Artiom Alhazov, Sergey Verlan, Minimization Strategies for Maximally Parallel Multiset Rewriting Systems. TUCS Technical Reports 862, Turku Centre for Computer Science, 2008.

Abstract:

Maximally parallel multiset rewriting systems (MPMRS) present a convenient way to express relations between unstructured objects. The functioning of various computational devices may be expressed in terms of MPMRS (e.g. register machines and many variants of P systems). In particular, this means that MPMRS are computationally complete; however, a direct translation leads to quite a big number of rules. Like for other classes of computationally complete devices, there is a challenge to find a universal system having the smallest number of rules. In this article we present different rule minimization strategies for MPMRS based on encodings and structural transformations. We apply these strategies to the translation of a small universal register machine (Korec, 1996) and we show that there exists a universal MPMRS with 23 rules. Since MPMRS are identical to a restricted variant of P systems with antiport rules, the results we obtained improve previously known results on the number of rules for that systems.

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BibTeX entry:

@TECHREPORT{tAlVe08a,
  title = {Minimization Strategies for Maximally Parallel Multiset Rewriting Systems},
  author = {Alhazov, Artiom and Verlan, Sergey},
  number = {862},
  series = {TUCS Technical Reports},
  publisher = {Turku Centre for Computer Science},
  year = {2008},
  keywords = {Multiset rewriting, Universal computations, Small register machines, P systems, Symport, Antiport},
  ISBN = {978-952-12-2021-0},
}

Belongs to TUCS Research Unit(s): Computational Biomodeling Laboratory (Combio Lab)

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