TY - JOUR
T1 - A combinatorial game mathematical checkmate control procedure for a class of chess endgames
AU - Königsberg, Zvi Retchkiman
PY - 2007/6
Y1 - 2007/6
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=69549105616&partnerID=8YFLogxK
M3 - Artículo
SN - 1061-5369
VL - 15
SP - 269
EP - 278
JO - Neural, Parallel and Scientific Computations
JF - Neural, Parallel and Scientific Computations
IS - 2
ER -