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Uniform Guarded Fragments

Published 7 Oct 2021 in cs.LO and math.LO | (2110.03821v2)

Abstract: In this paper we prove that the uniform one-dimensional guarded fragment, which is a natural polyadic generalization of the guarded two-variable logic, has the Craig interpolation property. We will also prove that the satisfiability problem of uniform guarded fragment is NEXPTIME-complete.

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