2017-12-282017-12-282009Leporati, A., Mauri, G., Zandron, C., Paun, G. y Pérez Jiménez, M.d.J. (2009). Uniform solutions to SAT and Subset Sum by spiking neural P systems. Natural Computing, 8 (4), 681-702.1567-7818http://hdl.handle.net/11441/68031We continue the investigations concerning the possibility of using spiking neural P systems as a framework for solving computationally hard problems, addressing two problems which were already recently considered in this respect: Subset Sum and SAT: For both of them we provide uniform constructions of standard spiking neural P systems (i.e., not using extended rules or parallel use of rules) which solve these problems in a constant number of steps, working in a non-deterministic way. This improves known results of this type where the construction was non-uniform, and/or was using various ingredients added to the initial definition of spiking neural P systems (the SN P systems as defined initially are called here ‘‘standard’’). However, in the Subset Sum case, a price to pay for this improvement is that the solution is obtained either in a time which depends on the value of the numbers involved in the problem, or by using a system whose size depends on the same values, or again by using complicated regular expressions. A uniform solution to 3-SAT is also provided, that works in constant time.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Membrane ComputingSpiking Neural P systemsSAT problemSubset sum problemComplexityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s11047-008-9091-y6606686