Efficient Neural Clause-Selection Reinforcement

Fuente: arXiv
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Autor principal: Suda, Martin
Formato: Preprint
Publicado: 2025
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author Suda, Martin
author_facet Suda, Martin
contents Clause selection is arguably the most important choice point in saturation-based theorem proving. Framing it as a reinforcement learning (RL) task is a way to challenge the human-designed heuristics of state-of-the-art provers and to instead automatically evolve -- just from prover experiences -- their potentially optimal replacement. In this work, we present a neural network architecture for scoring clauses for clause selection that is powerful yet efficient to evaluate. Following RL principles to make design decisions, we integrate the network into the Vampire theorem prover and train it from successful proof attempts. An experiment on the diverse TPTP benchmark finds the neurally guided prover improve over a baseline strategy, from which it initially learns -- in terms of the number of in-training-unseen problems solved under a practically relevant, short CPU instruction limit -- by 20%.
format Preprint
id arxiv_https___arxiv_org_abs_2503_07792
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Efficient Neural Clause-Selection Reinforcement
Suda, Martin
Artificial Intelligence
Logic in Computer Science
Clause selection is arguably the most important choice point in saturation-based theorem proving. Framing it as a reinforcement learning (RL) task is a way to challenge the human-designed heuristics of state-of-the-art provers and to instead automatically evolve -- just from prover experiences -- their potentially optimal replacement. In this work, we present a neural network architecture for scoring clauses for clause selection that is powerful yet efficient to evaluate. Following RL principles to make design decisions, we integrate the network into the Vampire theorem prover and train it from successful proof attempts. An experiment on the diverse TPTP benchmark finds the neurally guided prover improve over a baseline strategy, from which it initially learns -- in terms of the number of in-training-unseen problems solved under a practically relevant, short CPU instruction limit -- by 20%.
title Efficient Neural Clause-Selection Reinforcement
topic Artificial Intelligence
Logic in Computer Science
url https://arxiv.org/abs/2503.07792