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Subject: Re: Rook & Pawn Ending with Perpetual Check and Stalemate

Author: Uri Blass

Date: 00:49:27 04/01/01

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On April 01, 2001 at 00:24:33, Lin Harper wrote:

>        CM8K and Genius5 both play Rxd2 with a draw, even after a long
>    search.

Programs even cannot see at tournament time control that the following position
is a draw:

[D]8/8/5p2/5kRp/5p2/1p6/p2r4/K7 b - - 0 4

No program tries to generate a table like the following way:

1)  black king e6 white rook e5       reason diagram
2)  black king e4 white rook e5       reason diagram
3)  black king d6 white rook e6       reason 1,4
4)  black king d7 white rook e7       reason 1,3
5)  black king f7 white rook e7       reason 1
6)  black king f3 white rook e3       reason 2
7)  black king d3 white rook e3 or d5 reason 2
8)  black king d4 white rook e4 or d5 reason 2
9)  black king c5 white rook c6       reason 3
10) black king c7 white rook c6       reason 3
11)black king d5 white rook d6 or e5  reason 3
12)black king d8 white rook e8        reason 4
13)black king c8 white rook c7        reason 4
14)black king c6 white rook c7        reason 4

I believe that it is possible to prove by this kind of table that the position
is a draw but unfortunately I know no chess program that can generate this kind
of table.

Uri



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