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PSPACE-completeness of Grammar logics of bounded density

Published 20 Jul 2025 in cs.LO | (2507.14956v1)

Abstract: We introduce the family of multi-modal logics of bounded density and with a tableau-like approach using finite \emph{windows} which were introduced in \cite{BalGasq25}, we prove that their satisfiability problem is PSPACE-complete. As a side effect, the monomodal logic of density is shown to be in para-PSPACE.

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