Properties of SN P system and its Configuration Graph

11/28/2022

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by   Henry N. Adorna, et al.

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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 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.