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Monte Carlo Tableau Proof Search

Michael Färber,C. Kaliszyk,J. Urban

2016 · DOI: 10.1007/978-3-319-63046-5_34
CADE · 15 Citations

TLDR

An implementation based on the leanCoP prover is presented, trained and evaluated on a large suite of related problems coming from the Mizar proof assistant, showing that it is capable to find new and different proofs.

Abstract

We study Monte Carlo Tree Search to guide proof search in tableau calculi. This includes proposing a number of proof-state evaluation heuristics, some of which are learnt from previous proofs. We present an implementation based on the leanCoP prover. The system is trained and evaluated on a large suite of related problems coming from the Mizar proof assistant, showing that it is capable to find new and different proofs.