jann wrote:
Cassandra wrote:
Did you ever notice that endless repetition is badly needed in life-and-death example 6?
I don't know what "badly needed" means. LD ex 6 shows uncapturable W stones and capturable B stones (which forces B to start the loop in the game).
Endless repetition is mandatory.
J89's comment on STATUS CONFIRMATION in example 6 wrote:
White's four stones are alive because even if Black plays A, they survive in the ensuing long life.
As you can easily see, should you open your eyes, endless repetion is mandatory for confirming White's four stones in the corner "alive".
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Have you already understood what would happen, if the terminating move of a double-ko cycle during status confirmation was prohibited?
Do you want to have an enforced tenuki inserted after the second ko capture into a double-ko, and after the second pass-for-ko as well?
For the double ko problem you don't want to prohibit the first or last or any specific move in the "cycle", but the infinite repetition power of ko passes.
You haven't already understood, have you?
If you want to prohibit an endless repetition of

capturing into the ko A of the double ko

capturing into the ko B of the double ko (enforced)

ko-pass for the ko B of the double ko

ko-pass for the ko A of the double ko (enforced)

see


see


see


see


see

...
you will have to declare at least one of the moves in the cycle for "taboo".
There are several options for doing so:
==>

is taboo
Effect: Capturing into a double-ko is forbidden.
==>

is taboo
Effect: White will capture Black's double-ko group. Termination of the endless repetition of the cycle.
==>

is taboo
Effect #1: White must tenuki, but might not have any spot on the board available where she could place her stone. If so, it did not make any sense to have played

, she could have passed instead. Again, there will be no capturing into a double-ko, despite it would not be explicitely prohibited here.
Effect #2: Black might start another double-ko cycle by playing a ko-pass with

. It will follow

. A repetition of

would be taboo, as it were the first pass-for-ko in that cycle. Black must tenuki, but -- contrary to White -- he will always find a beneficial spot on the board where he can place his stone. White might even surrender in the very beginning, as Black might be able to play TWO moves in a row elsewhere.
==>

is taboo
Effect: White will capture Black's double-ko group with her move

(not the one defined above) . Termination of the endless repetition of the cycle.
==>

is taboo
Effect #1: White must tenuki, but might not have any spot on the board available where she could place her stone. If so, it did not make any sense to play

, she could have passed instead. Again, there will be no capturing into a double-ko at all, despite a first capturing would not be explicitely prohibited here.
Effect #2: Black is unable to start another double-ko cycle with reversed colours, as

would be the cycles very first move. Same effect as with declaring

taboo: Capturing into a double-ko would be forbidden.
As you can easily realise, only

and

will terminate the double-ko cycle.

is the move that completes the cycle, and prohibiting such move is what I suggested.
Prohibiting

would be an alternative option. If you chose this one, you would discover at once that prohibiting a double-ko cycle does not make any sense at all.