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Basic Chess Endings by Reuben Fine and Pal Benko

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The Case for Using Probabilistic Knowledge in a Computer Chess Program (John L. Jerz)
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Basic Chess Endings by Reuben Fine and Pal Benko
 
The proposed heuristic has a heavy reliance on the future mobility of the chess pieces. What basis can we find in chess theory for such an idea? Here are some quotes taken from Basic Chess Endings that support the idea that evaluation of piece mobility is crucial to estimating winning chances:
 
p.51"In general, the mobility of the pawns [King and Pawn Endings] is more important than their number. Two connected passed pawns are more valuable than 'sextuplets' (six pawns on one file). This is why White can win in a blocked position only if he can get his pawns moving, which is usually possible only if he has the opposition."
 
p.179"Any piece is good or bad according to its mobility."
 
p.203"We have repeatedly emphasized that mobility is the decisive factor in all phases of chess."
 
p.235"All chess theory is based on the concept of mobility: one piece is stronger than another if it can cover more squares; one position is preferable to another if the pieces act together more harmoniously and do not get in one another's way. This consideration is the key to questions of positional advantage in general, but is especially applicable to the case of bishop vs. knight. A knight in the center covers eight squares; a Bishop thirteen. It is only because the knight can cover squares that the Bishop cannot reach that the discrepancy is not more marked."
 
p.392"The criterion by which we can judge whether one rook is better than another is its degree of mobility: its freedom of action and the number of squares it can control."
 
p.411"Exposed Pawns: ...The main disadvantage to these weak pawns is not so much that material is lost sooner or later - sometimes this happens only after long and complicated maneuvering - but that defending them limits the mobility of the defending pieces."
 
p.421"Doubled Pawns: In pawn endings, doubled pawns that are qualitatively inferior - i.e., held in check by a smaller number - are a serious handicap, but even when they do not produce a passed pawn their lack of mobility is often fatal."
 

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