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Craig Interpolation for Guarded Fragments

2023/04/17 by Balder ten Cate, Cate, Balder ten, Jesse Comer +1
Computer Science · #Natural Language Processing Techniques #semigroups and automata theory #Topic Modeling

paper · pdf · doi:10.48550/arxiv.2304.08086

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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