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Monte Carlo tableau proof search. (English) Zbl 1494.68286

de Moura, Leonardo (ed.), Automated deduction – CADE 26. 26th international conference on automated deduction, Gothenburg, Sweden, August 6–11, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10395, 563-579 (2017).
Summary: 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.
For the entire collection see [Zbl 1369.68037].

MSC:

68V15 Theorem proving (automated and interactive theorem provers, deduction, resolution, etc.)
68T20 Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.)
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