Control Languages Associated with Labelled Spiking Neural P Systems with Mute Rules

This paper introduces labelled spiking neural P systems with mute rules (LSNP-MR systems), combining existing mute rules with a labelling mechanism for rules. We investigate these systems both as language generators and acceptors, proving that LSNP-MR systems can generate languages beyond the context-free class and recognize context-sensitive languages. Our results demonstrate that the synergy between labelling and mute rules extends the computational power of spiking neural P systems while maintaining biological plausibility.