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Paper · arXiv

A Formal Tool for Verification of Probabilistic Spiking Neural Networks Based on Quotient Abstractions

Spiking Neural Networks (SNNs) model biological neural dynamics more faithfully than classical artificial networks, but their stochastic, event-driven computation -- rooted in ion-channel noise and unreliable synaptic vesicle release -- demands probabilistic models for which deterministic abstractions are mathematically inadequate. Formal verification of such models via probabilistic model checking faces a fundamental barrier: the state space explosion problem, where the Discrete-Time Markov Chain (DTMC) encoding grows exponentially with the number of neurons. General-purpose quotient model abstractions [1] can in principle mitigate this growth by partitioning membrane potentials into equ...

AuthorsNikan Zandian Jazi, Elisabetta De Maria, Christopher Leturc
Primary categorycs.NE
Published12 June 2026
Last updated at source12 June 2026
cs.NEcs.AIcs.FL
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