[Retros] At Home SPGs, and more

[Joost de Heer]

Hello Francois,


> I assume that you're talking about using a database of *uniquely

> realizable* positions, using the fact that every sub-proof-game of a

> dual-free proof game must be dual-free.


Actually, this isn't true: A proofgame can have a unique solution, but intermediate positions aren't necessarily unique. The uniqueness comes from preserving castling rights or the need for a double-step as last move to allow an ep-capture.

A further question, which might be answered by your method:

One of the 'open' questions from Mark Kirtley's shorties articles (see http://janko.at/Retros/Shorties/index.htm) is: Is there, besides #5 in the second article, another 3-solution proofgame (so not 3-variations, i.e. three different begin moves)? Perhaps your research can give us an answer to this.

Joost
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