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The Treewidth Boundedness Problem for an Inductive Separation Logic of Relations (2310.09542v2)
Published 14 Oct 2023 in cs.LO and cs.FL
Abstract: The treewidth boundedness problem for a logic asks for the existence of an upper bound on the treewidth of the models of a given formula in that logic. This problem is found to be undecidable for first order logic. We consider a generalization of Separation Logic over relational signatures, interpreted over standard relational structures, and describe an algorithm for the treewidth boundedness problem in the context of this logic.