%0 Generic
%D 2009
%T Spiking neural P systems with weights and thresholds
%A Jun Wang
%A Hendrik J. Hoogeboom
%A Linqiang Pan
%A Gheorghe Paun
%E Gheorghe Paun
%E Mario J. Pérez-Jiménez
%E Agustín Riscos-Núñez
%C Curtea de Arges, Rumania
%I Marpapublicidad
%P 514-533
%U http://www.gcn.us.es/?q=procwmc10
%X A variant of spiking neural P systems is introduced, with (positive or nega- tive) weights on synapses and with the restriction that the rules of a neuron fires when the potential of that neuron equals a given threshold. The involved numbers - weights, thresholds, potential consumed by each rule - can be real (computable) numbers, ratio- nal, integer, natural numbers. The power of the obtained systems is investigated. For instance, it is shown that integer numbers (very restricted: 1;-1 for weights, 1 and 2 for thresholds and for writing the rules) suffice in order to compute all Turing computable sets of numbers, both in the generative and the accepting modes. Using only natural numbers we characterize the family of semilinear sets of numbers. Some open problems and suggestions for further research are formulated.
%8 24-27/08/2009