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rook mate

Peter_John_Paul

Dear Friends,
can the rook mate be always forced?
Best,
PJP

Dear Friends, can the rook mate be always forced? Best, PJP
RemRus

@Peter_John_Paul said ^

can the rook mate be always forced?

always forced!

@Peter_John_Paul said [^](/forum/redirect/post/V426hWFG) > can the rook mate be always forced? always forced!
tpr

Yes KQ vs. K, KR vs. K, KBB vs. K, KBN vs. K and even some KNN vs. KP can force checkmate.

Yes KQ vs. K, KR vs. K, KBB vs. K, KBN vs. K and even some KNN vs. KP can force checkmate.
Peter_John_Paul

d@tpr said ^

Yes KQ vs. K, KR vs. K, KBB vs. K, KBN vs. K and even some KNN vs. KP can force checkmate.

Can I find somewhere proofs of these statements in mathematical sense or is it just common knowledge derived from experience?

d@tpr said [^](/forum/redirect/post/koqE0gjZ) > Yes KQ vs. K, KR vs. K, KBB vs. K, KBN vs. K and even some KNN vs. KP can force checkmate. Can I find somewhere proofs of these statements in mathematical sense or is it just common knowledge derived from experience?
tpr

The 7-men endgame table bases provide proof in the mathematical sense.

The 7-men endgame table bases provide proof in the mathematical sense.
Peter_John_Paul

@tpr said ^

7-men endgame table bases

Do you mean
https://en.wikipedia.org/wiki/Endgame_tablebase ?
If so, the proof was made by brute force, by generating all possible positions and there is not a simple idea behind it accessible to human mind, like
that you can avoid the mate by a single bishop by putting your king at a field of opposite colour than the bishop.
Anyway thank you for your help,
PJP

@tpr said [^](/forum/redirect/post/esd8jamF) > 7-men endgame table bases Do you mean https://en.wikipedia.org/wiki/Endgame_tablebase ? If so, the proof was made by brute force, by generating all possible positions and there is not a simple idea behind it accessible to human mind, like that you can avoid the mate by a single bishop by putting your king at a field of opposite colour than the bishop. Anyway thank you for your help, PJP
tpr

The proof was previously achieved without computers.
Troitsky worked it all out for KNN vs. KP.
https://en.wikipedia.org/wiki/Two_knights_endgame

The proof was previously achieved without computers. Troitsky worked it all out for KNN vs. KP. https://en.wikipedia.org/wiki/Two_knights_endgame