Craig Interpolation for Guarded Fragments

Published 17 Apr 2023 in cs.LO | (2304.08086v1)

Abstract: We show that the guarded-negation fragment (GNFO) is, in a precise sense, the smallest extension of the guarded fragment (GFO) with Craig interpolation. In contrast, %we show that the smallest extension of the two-variable fragment (FO2) with Craig interpolation is full first-order logic.

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