Splitting proofs for interpolation
Paper in proceedings, 2017

We study interpolant extraction from local first-order refutations. We present a new theoretical perspective on interpolation based on clearly separating the condition on logical strength of the formula from the requirement on the common signature. This allows us to highlight the space of all interpolants that can be extracted from a refutation as a space of simple choices on how to split the refutation into two parts. We use this new insight to develop an algorithm for extracting interpolants which are linear in the size of the input refutation and can be further optimized using metrics such as number of non-logical symbols or quantifiers. We implemented the new algorithm in first-order theorem prover Vampire and evaluated it on a large number of examples coming from the first-order proving community. Our experiments give practical evidence that our work improves the state-of-the-art in first-order interpolation.

Author

B. Gleiss

Vienna University of Technology

Laura Kovacs

Formal Methods

M. Suda

Vienna University of Technology

Lecture Notes in Computer Science

0302-9743 (ISSN)

Vol. 10395 291-309

Subject Categories

Mathematical Analysis

DOI

10.1007/978-3-319-63046-5_18

ISBN

978-3-319-63045-8