Towards Finding Longer Proofs

May 30, 2019 ยท The Ethereal ยท ๐Ÿ› International Conference on Theorem Proving with Analytic Tableaux and Related Methods

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Zsolt Zombori, Adriรกn Csiszรกrik, Henryk Michalewski, Cezary Kaliszyk, Josef Urban arXiv ID 1905.13100 Category cs.LO: Logic in CS Cross-listed cs.AI, cs.LG Citations 18 Venue International Conference on Theorem Proving with Analytic Tableaux and Related Methods Last Checked 2 months ago
Abstract
We present a reinforcement learning (RL) based guidance system for automated theorem proving geared towards Finding Longer Proofs (FLoP). Unlike most learning based approaches, we focus on generalising from very little training data and achieving near complete confidence. We use several simple, structured datasets with very long proofs to show that FLoP can successfully generalise a single training proof to a large class of related problems. On these benchmarks, FLoP is competitive with strong theorem provers despite using very limited search, due to its ability to solve problems that are prohibitively long for other systems.
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