First-Order Interpolation Derived from Propositional Interpolation

Matthias Baaz; Anela Lolic

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arXiv · 2002.05404

First-Order Interpolation Derived from Propositional Interpolation

Matthias Baaz·Anela Lolic

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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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BibTeX RIS

Matthias Baaz, Anela Lolic. 2020-02-13. First-Order Interpolation Derived from Propositional Interpolation. https://arxiv.org/abs/2002.05404

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