Combining Monte-Carlo Tree Search with Proof-Number Search
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Abstract (arXiv)
Proof-Number Search (PNS) and Monte-Carlo Tree Search (MCTS) have been successfully applied for decision making in a range of games. This paper proposes a new approach called PN-MCTS that combines these two tree-search methods by incorporating the concept of proof and disproof numbers into the UCT formula of MCTS. Experimental results demonstrate that PN-MCTS outperforms basic MCTS in several games including Lines of Action, MiniShogi, Knightthrough, and Awari, achieving win rates up to 94.0%.
Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 2 of its 41 references that are in the map. First posted on arXiv 8 Jun 2022.
Builds on
2 of 41 references.
References · 2
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Citing papers per year: 2023: 1; 2024: 0; 2025: 1.
2 papers.
- 2023Proof Number Based Monte-Carlo Tree Searchcited by 3
- 2025Generalized Proof-Number Monte-Carlo Tree Searchcited by 0
- 2025Generalized Proof-Number Monte-Carlo Tree Search16 Jun 2025
- 2023Proof Number Based Monte-Carlo Tree Search16 Mar 2023