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The Cartographer
TacticToe: Learning to Prove with Tactics
April 02, 2018 Β· Declared Dead Β· π Journal of automated reasoning
"No code URL or promise found in abstract"
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Authors
Thibault Gauthier, Cezary Kaliszyk, Josef Urban, Ramana Kumar, Michael Norrish
arXiv ID
1804.00596
Category
cs.AI: Artificial Intelligence
Cross-listed
cs.LO
Citations
62
Venue
Journal of automated reasoning
Last Checked
3 months ago
Abstract
We implement a automated tactical prover TacticToe on top of the HOL4 interactive theorem prover. TacticToe learns from human proofs which mathematical technique is suitable in each proof situation. This knowledge is then used in a Monte Carlo tree search algorithm to explore promising tactic-level proof paths. On a single CPU, with a time limit of 60 seconds, TacticToe proves 66.4 percent of the 7164 theorems in HOL4's standard library, whereas E prover with auto-schedule solves 34.5 percent. The success rate rises to 69.0 percent by combining the results of TacticToe and E prover.
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