Computing Partial Recursive Functions by Transition P Systems

Abstract

In this paper a variant of transition P systems with external output designed to compute partial functions on natural numbers is presented. These P systems are stable under composition, iteration and unbounded minimization (μ–recursion) of functions. We prove that every partial recursive function can be computed by such P systems, from which the computational completeness of this model can be deduced.Ministerio de Ciencia y Tecnología TIC2002-04220-C03-0