# Interpolation

## Supervisor

## Suitable for

## Abstract

Let F1 and F2 be sentences (in first-order logic, say) such that F1 entails F2: that is, any model of F1 is also a model of F2. An interpolant is a sentence G such that F1 entails G, and G entails F2, but G only uses relations and functions that appear in *both* F1 and F2.

The goal in this project is to explore and implement procedures for constructing interpolants, particularly for certain decidable fragments of first-order logic. It turns out that finding interpolants like this has applications in some database query rewriting problems.

**Prerequisites**: Logic and Proof (or equivalent)