Rook king checkmate how to#
Rook king checkmate pdf#
Rook king checkmate code#
Rook king checkmate plus#

CHESS 4.5 - The Northwestern University Chess Program. King and Rook Against King: Historical Background and a Problem on the Infinite Board.

Rook king checkmate how to#

Chess: How to Program the Exceptions? Technical Report IW21/74, Department of Informatics, Mathematical Center Amdsterdam. Memorandum MIP-R-98, School of Artificial Intelligence, University of Edinburgh Representation of Knowledge for Very simple Endings in Chess. Thesis, Technical University of Munich (German) Untersuchungen über kombinatorische Spiele. Stanford University, Computer Science Department

Rook king checkmate pdf#

La Nature, pdf from, Translation by David Levy as Robots in David Levy, Monroe Newborn ( 1982). In 1977, Donald Michie addressed KRK and the infinite board. įirst implemented by Leonardo Torres y Quevedo in 1912 within his electro-mechanical KRK solver El Ajedrecista, KRK was and still is testbed and subject of research on evaluation and search heuristics and strategies, oracle approaches, mate search, search pathology, search versus knowledge, space-time tradeoff, retrograde analysis and tablebase generation, knowledge extraction and compression, feature detection and tuning, learning, genetic programming, pattern recognition, decision trees, logic and logic programming, inductive and deductive reasoning, rule-based modeling, problem solving and SAT.

Rook king checkmate code#

Further, the rook may receive a bonus to maximize the absolute difference of its rank- and file-distances to the losing king, to confine the king without becoming attacked.ĭespite todays engines have no difficulty to win this easily even without tablebases, deviation from optimal tablebase play, in particular in games with short time control, and most compact and efficient code considering symptoms of search pathology remain interesting issues. The position at the start of the endgame is shown here.Simple heuristics of a mop-up evaluation, only considering Center Manhattan-distance of the losing king, and Chebyshev distance and/or Manhattan distance between both kings, along with a tiny search, should be sufficient to execute the mate. But sources seem to agree that this game can be won by white. I'm not a great player so I am probably overlooking something obvious, but it looks to me that unless black makes a mistake and puts his rook into a position where a white rook can pin it against the king, the result is going to end up being a draw. Usually black can spend some intervening moves chasing white's king around the board, wasting moves and leading towards a draw.ģ) Lastly, if white tries to get his king up the board to restrict black's own king's movements, this gets in the way of the squares at least one of his rooks is attacking and then the black king can sneak away from the edge of the board on the far side of the white king. But that takes two moves to achieve, so as soon as white makes the first, the black rook can move out of the way again white then has to move back onto adjacent ranks / files to have a hope of checkmating if he does so, that gives black a chance to move the rook again and thus the process repeats itself. The only way for white to force an exchange is to move both rooks onto the same rank or file, so that the rook can be attacked by a piece which is in turn defended. However, when black still has a rook, the moves required to get white's rooks over to the other side of the board are enough for the black rook to move up and shield the king.

Rook king checkmate plus#

If the rooks defend themselves by moving onto the same rank or file, the king is then able to slip between them when one moves thus the king cannot be confined to the edge of the board.Ģ) The above problem would not apply if it were not for the extra black rook, since in a 2 rooks plus king scenario, the rooks can dart across the board in a couple of moves and continue to force the king towards the edge. However, from most positions, the king is close enough to the white rooks that it can move diagonally to intercept them as they advance up the board and thus prevent checkmate. The problems are:ġ) To achieve mate, the black king needs to be driven to the edge of the board. I haven't been able to find anything about how to achieve mate with this combination on the board. Eventually I blundered and lost the extra rook, but I'm confused about how checkmate could have been achieved when my opponent was unwilling to exchange rooks. But I've just spent a frustrating game failing to achieve checkmate. So do various online sources, which suggest that in most (if not all) positions, this is a win for white. Common sense tells me that white ought to be able to win with the extra rook.