LIPIcs.ITP.2024.1.pdf
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Alpha-Beta Pruning Verified (Invited Talk)
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Tobias Nipkow 
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Volume:
15th International Conference on Interactive Theorem Proving (ITP 2024)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: International Conference on Interactive Theorem Proving (ITP) - License:
Creative Commons Attribution 4.0 International license
- Publication Date: 2024-09-02
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Tobias Nipkow. Alpha-Beta Pruning Verified (Invited Talk). In 15th International Conference on Interactive Theorem Proving (ITP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 309, pp. 1:1-1:4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
https://doi.org/10.4230/LIPIcs.ITP.2024.1
Abstract
Alpha-beta pruning is an efficient search strategy for two-player game trees. It was invented in the late 1950s and is at the heart of most implementations of combinatorial game playing programs. We have formalized and verified a number of variations of alpha-beta pruning, in particular fail-hard and fail-soft, and valuations into linear orders, distributive lattices and domains with negative values.
Subject Classification
ACM Subject Classification
- Software and its engineering → Formal software verification
- Theory of computation → Algorithmic game theory
Keywords
- Verification
- Algorithmic Game Theory
- Isabelle
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References
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