Semilinear Sets, Register Machines, and Integer Vector Addition (P) Systems

Abstract

In this paper we consider P systems working with multisets with integer multiplicities. We focus on a model in which rule applicability is not in uenced by the contents of the membrane. We show that this variant is closely related to blind register machines and integer vector addition systems. Furthermore, we describe the computational power of these models in terms of linear and semilinear sets of integer vectors.