Math Theory of Chess. S-version. Parts 4, 5

By Yefim Treger

Parts 1, 2 were mostly devoted to I-Chess, where games may be infinite. Part 3 is devoted to A-Chess, where any game is finite as a game is stopped with some result.

While I-Chess analyzes mostly infinite games, A-Chess analyzes only finite objects: either finite games (as games finishing by a final position) or finite segments, finishing by not a final position. Finite segments of games (or even finite games) are caused by the action of "Stop", a special procedure of stopping (ending) a game. "Stop" is one of the two features of A-Chess.
3. A-Chess has a System of Values (SV), which offers values of positions. A value of a position is a specific number attributed to the position in a case of stopping a game and affecting the result of a game. System of Values is also one of the two features of A-Chess.
4. In general, A-Chess (which may be called Human A-Chess) allows action of numerous and different rules of Chess, stipulating an end of a game and System of Values. Some of these rules directly depend on human factors (for example, resigning or agreeing a draw); some others depend on the specific rules of Chess (for example, three times repetition rule or "50 moves" rule).

• Format: Paperback
• Language: English
• ISBN: 4871877736
• ISBN13: 9784871877732
• Release Date: November 2019
• Publisher: Ishi Press
• Length: 394 Pages
• Weight: 2.31 lbs.
• Dimensions: 1.1" x 8.0" x 10.0"