I'll go with the Vancura first (I had to explain it to someone who I was coaching around 30 years ago back when I was almost some good at this game) and come back to "Kling and Horwitz" if time permits.
I do not own de la Villa's book, so for all I know I might be about to explain the Vancura position the exact self-same way that he does. In which case, apologies (and feel free to come back to me with supplementary questions). Also apologies if I have pitched the level of this incorrectly - I don't know how much of the ideas you do and/or don't "get" @chessterd5
The way I'd explain it from the ground up goes something like this.
Principle 1: White cannot Queen the Pawn unless the Rook can move from in front of it
As long as Black's Rook stays on the same rank as the Pawn, White's Rook cannot usually leave the a-file [see Principles 2 and 3 for the Special Circumstances] without Black taking the a-pawn. In this "fairy" position (illegal, no Kings) the conditions on which are: "White wins if he can Queen the a-Pawn or can force the capture of Black's Rook, otherwise it's a draw":
we see that White cannot move the Rook off the a-file or Black just takes the Pa6. And if White plays 1. a7 then Black just keeps the attack on the a-Pawn in place by playing 1..., Rf7. And if White gives away a tempo by playing 1. Ra7 then Black plays 1..., Re6 keeping the Pa6 under attack.
White can make no "progress".
Principle 2: if White can get the Rook out from in front of the a-Pawn with check, White wins
This is why Black's King needs to be on the a7-h7 rank in the Vancura position. If it was on any other rank when White's a-Pawn hits a7, this short combination happens:
and White wins.
For Black to draw, the King must be on the a7-h7 rank
Principle 3: White wins if when Black takes the a-Pawn there's a Rook-winning Skewer
This is why Black's King needs to be on g7 in the Vancura position, not for example f7. If Black's King is on f7, this can happen:
and White wins.
Black's King must be on g7 to avoid skewers.
Principle 4: White's King has no shelter from lateral checks if it tries to protect the a-Pawn
It can't hide behind the Pawn. This is why the Vancura position only works with an a-Pawn or an h-Pawn. Whenever White's King tries to protect the a-Pawn, Black checks from the side. And if White's King approaches the Rook to stop the checks, the Rook just goes back to attacking the a-Pawn and the King is too far away to help the a-Pawn to Queen [see Principle 1]. There are lots of possible example lines, but they all come out the same. One such line might be:
White has no way of making progress over the first 17 moves, so at move 18 he advances the Pawn. But all that does is mean White's King can't hide from checks on a7 either...so Black can start checking from behind the Pawn instead.
Checkitty check and White can make no progress.
Does this help? Hope it's of some use somehow. Incidentally, tag @gazjustgaz - you'll need to know about the Vancura position sometime too, guv.
Hello everyone,
I have recently started reading 100 Endgames You Must Know by GM Jesus De la Villa.
My question or request is, is it possible that a player more skilled than myself provide some more details in reference to the Kling & Horwitz defense and/or the Vancura position. I'm not quite grasping the material. Thank you