Checkers Is Solved

@article{Schaeffer2007CheckersIS,
  title={Checkers Is Solved},
  author={J. Schaeffer and Neil Burch and Y. Bj{\"o}rnsson and Akihiro Kishimoto and Martin M{\"u}ller and R. Lake and P. Lu and S. Sutphen},
  journal={Science},
  year={2007},
  volume={317},
  pages={1518 - 1522}
}
The game of checkers has roughly 500 billion billion possible positions (5 × 1020). The task of solving the game, determining the final result in a game with no mistakes made by either player, is daunting. Since 1989, almost continuously, dozens of computers have been working on solving checkers, applying state-of-the-art artificial intelligence techniques to the proving process. This paper announces that checkers is now solved: Perfect play by both sides leads to a draw. This is the most… Expand
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  • 2007
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References

SHOWING 1-10 OF 28 REFERENCES
Solving Checkers
TLDR
One of the most challenging checkers openings has been solved-the White Doctor opening is a draw, which will result in the game-theoretic value of checkers being determined. Expand
Programming a computer for playing chess
This paper is concerned with the problem of constructing a computing routine or “program” for a modern general purpose computer which will enable it to play chess. Although perhaps of no practicalExpand
Games solved: Now and in the future
TLDR
It is concluded that decision complexity is more important than state-space complexity as a determining factor in games solved in the domain of two-person zero-sum games with perfect information and there is a trade-off between knowledge-based methods and brute-force methods. Expand
XXII. Programming a Computer for Playing Chess 1
This paper is concerned with the problem of constructing a computing routine or "program" for a modern general purpose computer which will enable it to play chess. Although perhaps of no practicalExpand
An Analysis of Alpha-Beta Pruning
TLDR
The alpha-beta procedure for searching game trees is shown to be optimal in a certain sense, and bounds are obtained for its running time with various kinds of random data. Expand
Solving awari with parallel retrograde analysis
A parallel search algorithm running on a large computer cluster solves a popular board game by computing the best moves from all reachable positions. The resulting databases contain scores for 889Expand
Empirical Measurements of Disk Failure Rates and Error Rates
TLDR
SATA uncorrectable read errors are not yet a dominant system-fault source - they happen, but are rare compared to other problems, and UER (uncorrectable error rate) is not the relevant metric for data architects needs. Expand
Supporting online material Materials and methods
We use a 48-km square horizontal by 24-km vertical domain with uniform 500-m horizontal by 375-m vertical grid spacing. A dynamics model (S1) integrates the anelastic equations for deep convectionExpand
The retinex theory of color vision.
  • E. Land
  • Physics, Medicine
  • Scientific American
  • 1977
...
1
2
3
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