Kernel P Systems - Version 1

A basic P system, called kernel P system4 (kP system for short), combining features of di erent P systems introduced and studied so far is de ned and discussed. The structure of such systems is de ned as a dynamic graph, similar to tissue-like P systems, the objects are organised as multisets, and the rules in each compartment, rewriting and communication together with system structure changing rules, are applied in accordance with a speci c execution strategy. The de nition of kP systems is introduced and some examples illustrate this concept. Two classes of P systems, namely neural-like and generalised communicating P systems are simulated by kP systems. Some case studies prove the expressive power of these systems.