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The Ethereal
Towards Finding Longer Proofs
May 30, 2019 ยท The Ethereal ยท ๐ International Conference on Theorem Proving with Analytic Tableaux and Related Methods
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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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