On the Efficiency of Spiking Neural P Systems

Spiking neural P systems were recently introduced in and proved to be Turing complete as number computing devices. In this paper we show that these systems are also computationally efficient. Specifically, we present a variant of spiking neural P systems which have, in their initial configuration, an arbitrarily large number of inactive neurons which can be activated (in an exponential number) in polynomial time. Using this model of P systems we can deterministically solve the satisfiability problem (SAT) in constant time