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No complete solution for chess in either of the two senses is known, nor is it expected that chess will be solved in the near future (if ever). Progress to date is extremely limited; there are tablebases of perfect endgame play with a small number of pieces (up to seven), and some chess variants have been solved at least weakly.
A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly.This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory and/or computer assistance.
By August 2012, tablebases had solved chess for almost every position with up to seven pieces, with certain subclasses omitted due to their assumed triviality; [2] [3] these omitted positions were included by August 2018. [4] As of 2024, work is still underway to solve all eight-piece positions.
All chess positions with up to seven pieces on the board have been solved by endgame tablebases, [2] so the outcome (win, loss, or draw) of best play by both sides in such positions is known, and endgame textbooks teach this best play. However, most endgames are not solved, so textbooks teach useful strategies and tactics about them.
But solving Los Alamos chess or its cousin with bishops instead of knights, does provide some useful insight: suppose 5x5 chess, now 6x6 chess, and eventually 7x7 chess are all solved as draws; then we might be able to work out an inductive proof that 8x8 chess is a draw.
Teenager Gukesh Dommaraju became the youngest-ever undisputed classical chess world champion after beating Ding Liren 7.5-6.5 in their best-of-14 final in Singapore on Thursday.
These limitations imply, for example, that no computer, however constructed, will ever be able to examine the entire tree of possible move sequences of the game of chess." Nonetheless, Bremermann did not foreclose the possibility that a computer would someday be able to solve chess.
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