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arXiv · 2211.15159

Properties of SN P system and its Configuration Graph

Henry N. Adorna
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Abstract

Several studies have been reported in the literature about SN P system and its variants. Often, the results provide universality of various variants and the classes of languages that these variants generate and recognize. The state of SN P system is its configuration. We refer to our previous result on reachability of configuration as the {\it Fundamental state equation for SN P system.} This paper provides a preliminary investigation on the behavioral and structural properties of SN P system without delay that depend primarily to this fundamental state equation. Also, we introduce the idea of configuration graph $CG_Π$ of an SN P system $Π$ without delay to characterize behavioral properties of $Π$ with respect to $CG_Π.$ The matrix $M_Π$ of an SN P system $Π$ without delay is used to characterize structural properties of $Π.$

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Henry N. Adorna. 2022-12-02. Properties of SN P system and its Configuration Graph. https://arxiv.org/abs/2211.15159

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