Computation power of asynchronous spiking neural P systems with polarizations
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WU, Tingfang, PAN, Linqiang, ALHAZOV, Artiom. Computation power of asynchronous spiking neural P systems with polarizations. In: Theoretical Computer Science, 2019, nr. 777, pp. 474-489. ISSN 0304-3975. DOI: https://doi.org/10.1016/j.tcs.2018.10.024
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Theoretical Computer Science
Numărul 777 / 2019 / ISSN 0304-3975 /ISSNe 1879-2294

Computation power of asynchronous spiking neural P systems with polarizations

DOI:https://doi.org/10.1016/j.tcs.2018.10.024

Pag. 474-489

Wu Tingfang1, Pan Linqiang1, Alhazov Artiom2
 
1 Huazhong University of Science and Technology,
2 Vladimir Andrunachievici Institute of Mathematics and Computer Science
 
 
Disponibil în IBN: 2 iulie 2019


Rezumat

Spiking neural P systems (SN P systems) are a class of parallel computing models, inspired by the way in which neurons process information and communicate to each other by means of spikes. In this work, we consider a variant of SN P systems, SN P systems with polarizations (PSN P systems), where the integrate-and-fire conditions are associated with polarizations of neurons. The computation power of PSN P systems working in the asynchronous mode (at a computation step, a neuron with enabled rules does not obligatorily fire), instead of the synchronous mode (a neuron with enabled rules should fire), is investigated. We proved that asynchronous PSN P systems with extended rules (the application of a rule can produce more than one spikes) or standard rules (all rules can only produce a spike) can both characterize partially blind counter machines, hence, such systems are not Turing universal. The equivalence of the computation power of asynchronous PSN P systems in both cases of using extended rules or standard rules indicates that asynchronous PSN P systems are robust in terms of the amount of information exchanged among neurons. It is known that synchronous PSN P systems with standard rules are Turing universal, so these results also suggest that the working model, synchronization or asynchronization, is an essential ingredient for a PSN P system to achieve a powerful computation capability.

Cuvinte-cheie
Asynchronization, Bio-inspired computing, Membrane computing, Spiking neural network, Spiking neural P system

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<dc:creator>Wu, T.</dc:creator>
<dc:creator>Pan, L.</dc:creator>
<dc:creator>Alhazov, A.E.</dc:creator>
<dc:date>2019-07-19</dc:date>
<dc:description xml:lang='en'><p>Spiking neural P systems (SN P systems) are a class of parallel computing models, inspired by the way in which neurons process information and communicate to each other by means of spikes. In this work, we consider a variant of SN P systems, SN P systems with polarizations (PSN P systems), where the integrate-and-fire conditions are associated with polarizations of neurons. The computation power of PSN P systems working in the asynchronous mode (at a computation step, a neuron with enabled rules does not obligatorily fire), instead of the synchronous mode (a neuron with enabled rules should fire), is investigated. We proved that asynchronous PSN P systems with extended rules (the application of a rule can produce more than one spikes) or standard rules (all rules can only produce a spike) can both characterize partially blind counter machines, hence, such systems are not Turing universal. The equivalence of the computation power of asynchronous PSN P systems in both cases of using extended rules or standard rules indicates that asynchronous PSN P systems are robust in terms of the amount of information exchanged among neurons. It is known that synchronous PSN P systems with standard rules are Turing universal, so these results also suggest that the working model, synchronization or asynchronization, is an essential ingredient for a PSN P system to achieve a powerful computation capability.</p></dc:description>
<dc:identifier>10.1016/j.tcs.2018.10.024</dc:identifier>
<dc:source>Theoretical Computer Science  (777) 474-489</dc:source>
<dc:subject>Asynchronization</dc:subject>
<dc:subject>Bio-inspired computing</dc:subject>
<dc:subject>Membrane computing</dc:subject>
<dc:subject>Spiking neural network</dc:subject>
<dc:subject>Spiking neural P system</dc:subject>
<dc:title>Computation power of asynchronous spiking neural P systems with polarizations</dc:title>
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