Journal of Computer and System Sciences
P systems with active membranes: attacking NP-complete problems
Journal of Automata, Languages and Combinatorics
Computing with Membranes: P Systems with Worm-Objects
SPIRE '00 Proceedings of the Seventh International Symposium on String Processing Information Retrieval (SPIRE'00)
An approach to computational complexity in membrane computing
WMC'04 Proceedings of the 5th international conference on Membrane Computing
On efficient algorithms for SAT
CMC'12 Proceedings of the 13th international conference on Membrane Computing
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Until now, the solving of NP complete problems in polynomial time in the framework of P systems was accomplished by the use of three different techniques: the duplication of membranes, the creation of membranes, and the replication of strings. In this paper we introduce a new type of P systems which comes with a new technique of approaching this class of problems. In the initial configuration of these P systems we have an arbitrarily large number of unactivated base-membranes, which, in a polynomial time, are activated in an exponential number. Using these type of systems we solve the SAT problem in a linear time, with respect to the number of variables and clauses.