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Proof-Number Search (PNS) and Monte-Carlo Tree Search (MCTS) have beensuccessfully applied for decision making in a range of games. This paperproposes a new approach called PN-MCTS that combines these two tree-searchmethods by incorporating the concept of proof and disproof numbers into the UCTformula of MCTS. Experimental results demonstrate that PN-MCTS outperformsbasic MCTS in several games including Lines of Action, MiniShogi,Knightthrough, and Awari, achieving win rates up to 94.0%.

Combining Monte-Carlo Tree Search with Proof-Number Search