Program Synthesis in Saturation

Petra Hozzová; Laura Kovács; Chase Norman; Andrei Voronkov

doi:10.1007/978-3-031-38499-8_18

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arXiv · 2402.18962

Program Synthesis in Saturation

Petra Hozzová·Laura Kovács·Chase Norman·Andrei Voronkov

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Abstract

We present an automated reasoning framework for synthesizing recursion-free programs using saturation-based theorem proving. Given a functional specification encoded as a first-order logical formula, we use a first-order theorem prover to both establish validity of this formula and discover program fragments satisfying the specification. As a result, when deriving a proof of program correctness, we also synthesize a program that is correct with respect to the given specification. We describe properties of the calculus that a saturation-based prover capable of synthesis should employ, and extend the superposition calculus in a corresponding way. We implemented our work in the first-order prover Vampire, extending the successful applicability of first-order proving to program synthesis. This is an extended version of an Automated Deduction -- CADE 29 paper with the same title and the same authors.

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Petra Hozzová, Laura Kovács, Chase Norman, Andrei Voronkov. 2024-02-29. Program Synthesis in Saturation. https://doi.org/10.1007/978-3-031-38499-8_18

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