Abstract.
P systems, introduced by Gh. Păun [9] as a new theoretical model for molecular computations, are based on the notion of membrane structure. Several variants of P systems have been proposed and shown to be computationally universal. One of such variant is the rewriting P systems, where we consider string-objects and process them using rewriting rules. Particular cases of normal forms for rewriting P systems were proposed in [11–13]. In this work we introduce the generalized normal form for rewriting P systems which take into consideration the depth of the membrane structure and the number of rewriting rules present in each membrane. Such generalized normal forms are given for rewriting P systems with priorities, and for partially parallel rewriting P systems. In this way, several results from the literature are generalized and improved.
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Received: 14 March 2002 / 5 June 2002
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Madhu, M., Krithivasan, K. Generalized normal form for rewriting P systems. Acta Informatica 38, 721–734 (2002). https://doi.org/10.1007/s00236-002-0091-6
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DOI: https://doi.org/10.1007/s00236-002-0091-6