Solving SAT with Active Membranes and Pre-Computed Initial Con gurations

Abstract

In this paper we provide algorithms for solving the SAT problem using P systems with active membranes with neither polarization nor division rules. The semi- uniform solutions are given under the assumption that initial con gurations (either al- phabet or structure) of exponential size are pre-computed by well-de ned P systems (P systems with replicated rewriting and P systems with active membranes and membrane creation, respectively) working in polynomial time. An important observation is that we specify how the pre-computed initial con gurations are constructed.