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Journal ArticleDOI

On string languages generated by sequential spiking neural P systems based on the number of spikes

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TLDR
It is proved that recursively enumerable languages can be characterized as projections of inverse-morphic images of languages generated by such sequential SN P systems that are used as language generators.
Abstract
Spiking neural P systems (SN P systems, for short) are a class of distributed parallel computing devices inspired from the way neurons communicate by means of spikes. In this work, we consider SN P systems with the following restriction: at each step the active neuron with the maximum (or minimum) number of spikes among the neurons that can spike will fire [if there is a tie for the maximum (or minimum) number of spikes stored in the active neurons, only one of the neurons containing the maximum (or minimum) is chosen non-deterministically]. We investigate the computational power of such sequential SN P systems that are used as language generators. We prove that recursively enumerable languages can be characterized as projections of inverse-morphic images of languages generated by such sequential SN P systems. The relationships of the languages generated by these sequential SN P systems with finite and regular languages are also investigated.

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Citations
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Journal ArticleDOI

Spiking Neural P Systems With Scheduled Synapses

TL;DR: It is proved that SSN P systems are computationally universal as number generators and acceptors for both schedule types, under a normal form (i.e., a simplifying set of restrictions).
Journal ArticleDOI

Generating context-free languages using spiking neural P systems with structural plasticity

TL;DR: This work creates a procedure for constructing an SNPSP system given a context-free grammar in Greibach normal form (GNF), and essentially simulates the way in which a Context- free grammar in GNF is used to generate languages.
Journal ArticleDOI

Automatic Implementation of Fuzzy Reasoning Spiking Neural P Systems for Diagnosing Faults in Complex Power Systems

TL;DR: An automatic implementation method for automatically fulfilling the hard task, named membrane computing fault diagnosis (MCFD) method is developed, which is a very significant attempt in the development of FRSN P systems and even of the membrane computing applications.
Journal ArticleDOI

On String Languages Generated by Spiking Neural P Systems With Structural Plasticity

TL;DR: SNPSP systems are used in this paper to compute some classes of languages from the Chomsky hierarchy: FIN, REG, and RE and the computations of such classes continue a research direction established in the previous paper.
Journal ArticleDOI

An Approach for Detecting Fault Lines in a Small Current Grounding System using Fuzzy Reasoning Spiking Neural P Systems

TL;DR: A fuzzy reasoning spiking neural P system is used to construct fault line detection models and six cases in a small current grounding system prove the effectiveness of the introduced approach.
References
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Book

Computation: Finite and Infinite Machines

TL;DR: In this article, the authors present an abstract theory that categorically and systematically describes what all these machines can do and what they cannot do, giving sound theoretical or practical grounds for each judgment, and the abstract theory tells us in no uncertain terms that the machines' potential range is enormous and that its theoretical limitations are of the subtlest and most elusive sort.
BookDOI

Handbook of Formal Languages

TL;DR: This first handbook of formal languages gives a comprehensive up-to-date coverage of all important aspects and subareas of the field.
Book

The Oxford Handbook of Membrane Computing

TL;DR: This handbook provides both a comprehensive survey of available knowledge and established research topics, and a guide to recent developments in the field, covering the subject from theory to applications.
Journal Article

Spiking Neural P Systems

TL;DR: In this article, the authors introduce a class of neural-like P systems which they call spiking neural P systems (in short, SN P systems), in which the result of a computation is the time between the moments when a specified neuron spikes.
Journal ArticleDOI

Small universal spiking neural P systems.

TL;DR: In this paper, the authors considered the case of spiking neural P systems (SNP systems), in two variants: as devices that compute functions and as generators of sets of numbers, and they found a universal system with restricted rules having 76 neurons and one with extended rules having 50 neurons.
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