First-Order Interpolation Derived from Propositional Interpolation

First-Order Interpolation Derived from Propositional Interpolation

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 la...

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Hauptverfasser: Baaz, Matthias, Lolic, Anela
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Logic
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Zusammenfassung: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.
DOI:10.48550/arxiv.2002.05404