[chessmind] Dennis Monokroussos: Chess is not Checkers - Thankfully!
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Fri Jul 20 03:09:00 EDT 2007
Posted by Dennis Monokroussos:
Chess is not Checkers - Thankfully!
http://chessmind.powerblogs.com/posts/1184915335.shtml
I've used that phrase with chess students before, to emphasize that in
chess, unlike checkers ("draughts" for at least some non-Americans),
captures are not mandatory. It behooves one to be on guard for
possible zwischenzugs, both for oneself and for the opponent. That's a
useful lesson, but it's not the subject of this post.
Rather, it's this: word came down the pike yesterday that checkers is
officially solved ([1]here and [2]here; HTs to Rob Bernard and Michael
Bagalman, respectively). (That game is objectively a draw, in the
unlikely event anyone suspected otherwise.) That paltry feat only took
18 years of working through 500 billion billion positions (ho hum);
chess, on the other hand, has around a billion billion billion billion
billion possible positions (so says the first article - I'll take its
word for it, as trying to count them myself might keep me up past my
bedtime).
Thus we're safe for now, as Tim Krabbé is always fond of pointing
out. In his most recent [3]Chess Diary entry (#344, "The Helplessness
of the Pair of Queens"), he presents the game Kosten-Zelcic, in which
White reaches a position with two queens and a pawn against a mere
rook, bishop, knight and three pawns - but can't win. Despite the
apparent obviousness of the blockade, none of the current programs,
including [4]Rybka, the current king, is even remotely able to
recognize this. (Ironically, if the game score given both on Krabbé's
site and on [5]chessgames.com is right, White probably missed a win
with 76.Qc7. Whether White can force that sort of winning position
without help is another story.)
References
1. http://news.bbc.co.uk/2/hi/science/nature/6907018.stm
2. http://www.nytimes.com/2007/07/19/science/19cnd-checkers.html?ex=1342497600&en=d369b9138fd850b6&ei=5088&partner=rssnyt&emc=rss
3. http://www.xs4all.nl/~timkr/chess2/diary.htm
4. http://www.rybkachess.com/
5. http://www.chessgames.com/perl/chessgame?gid=1278811
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