TY - GEN
T1 - A combinatorial game mathematical checkmate control procedure for a class of chess endgames
AU - Königsberg, Zvi Retchkiman
PY - 2008
Y1 - 2008
N2 - In this paper a checkmate control procedure for a class of chess endgames is given. The class of chess endgames considered are those chess games that are built around a trébuchet, are just formed by pawns and, whose configuration can be decomposed as a sum of independent subgames restricted to belong to one of the following cases: i) Zero or fuzzy games, and ii) Positive or negative games where the winner has the possibility of driving the game to case (i). In addition some tempos are allowed. The main contribution consists in answering the question of how a chess player checkmates knowing that he is in a winning position using combinatorial game mathematical tools. By a winning position in a game it is understood a position where one of the players makes the last move in that game and as a consequence forces his opponent to start playing in the next game and so on, until at the end plays first in the trébuchet and loses the chess game.
AB - In this paper a checkmate control procedure for a class of chess endgames is given. The class of chess endgames considered are those chess games that are built around a trébuchet, are just formed by pawns and, whose configuration can be decomposed as a sum of independent subgames restricted to belong to one of the following cases: i) Zero or fuzzy games, and ii) Positive or negative games where the winner has the possibility of driving the game to case (i). In addition some tempos are allowed. The main contribution consists in answering the question of how a chess player checkmates knowing that he is in a winning position using combinatorial game mathematical tools. By a winning position in a game it is understood a position where one of the players makes the last move in that game and as a consequence forces his opponent to start playing in the next game and so on, until at the end plays first in the trébuchet and loses the chess game.
KW - Checkmate control
KW - Chess endgames
KW - Chess modeling
KW - Combinatorial game theory
KW - Trébuchet
UR - http://www.scopus.com/inward/record.url?scp=52349115914&partnerID=8YFLogxK
U2 - 10.1109/CCDC.2008.4598343
DO - 10.1109/CCDC.2008.4598343
M3 - Contribución a la conferencia
AN - SCOPUS:52349115914
SN - 9781424417346
T3 - Chinese Control and Decision Conference, 2008, CCDC 2008
SP - 5301
EP - 5307
BT - Chinese Control and Decision Conference, 2008, CCDC 2008
T2 - Chinese Control and Decision Conference 2008, CCDC 2008
Y2 - 2 July 2008 through 4 July 2008
ER -