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First-Order Interpolation Derived from Propositional Interpolation

2020/02/13 by Baaz, Matthias, Lolic, Anela
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2002.05404

Abstract

This paper develops a general methodology to connect propositional and first-order interpolation. In fact, the existence of suitable skolemizations and of Herbrand expansions together with a propositional interpolant suffice to construct a first-order interpolant. This methodology is realized for lattice-based finitely-valued logics, the top element representing true. It is shown that interpolation is decidable for these logics.

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