Life In 19x19

For some of these non-Main-Semeai variations, it seems to have been consolidated in the meantime that they represent valid solutions to the problem. I will publish details on this in subsequent posts.

Does these non-Main-Semeai variations really matter?


If non-Main-Semeai variations better ...

$$W White to play
$$ . . . . . . . . . . .|
$$ . , . . . . . X . . .|
$$ . . . . . . . . . . .|
$$ . . . . . . . . . . .|
$$ . . . . . . . . . 9 .|
$$ . . . . . . . . 7 X .|
$$ . . . . . X . 8 X O .|
$$ . , . . O X 6 X O . .|
$$ . . . . 3 O X 5 O . .|
$$ . . . . . 2 1 4 ...

Hwang In-seong 8 dan's 2022 Congress lecture series vol.1 [Four Trendy Ideas]
https://www.youtube.com/watch?v=QgUnD434NH4&t=855s

Let me show you my answer to my initial question.
$$W White to play
$$ ----------------------------
$$ . . . . . . . b . . . . . |
$$ . . . . . . . . . a O . . |
$$ . . . . . . . X O . X O . |
$$ . . X , . X . X X X . O . |
$$ . . . . . . . . . . O . . |
$$ . . . . . . . . . . O ...

What about this one?
$$
$$ +-------------------------+
$$ | O . X X . . . . X . . X |
$$ | O O . O X . O . O X X X |
$$ | . O O O . O O X O X . X |
$$ | . O X O O O . X O X . X |
$$ | . O X X X O X X O X . X |
$$ | . O X X . O O O O X . X |
$$ | O O O O X X X X X X X X ...

Seeing you did not find any other position (or tree) I conclude that we cannot have simultaneously
1) T = MGOTE
2) One player has a gote and a sente option
3) F < T
That means that your theorem cannot be applied if T = MGOTE

Non-existence is proved by a proof of non-existence.

Non-existence is ...

$$B local start with the sente option, correct choice on move 4, C3 = -22
$$ +---------------------------------+
$$ | O . X X . 5 1 3 X . X X X X X X |
$$ | O O . O X . O 2 O X X X . X O 6 |
$$ | . O O O . O O B O X . X , X O B |
$$ | . O C O O O C B O X . X X X O O |
$$ | . O B B B O B B O X . X ...

What the theorem does is

"Let there by the resulting counts C1 if the creator starts in the environment and the preventer replies locally, C2 if the creator starts locally with the gote option, C3 if the creator starts locally with the sente option." [22],

the remark

"Determination of the ...

Thank you for the detailed and interesting answer.


Since you have not clarified yet, let me guess what you might mean. I think that probably you mean:

- late endgame

- you do not know how to use the word temperature well, wherefore I reply with how I use it: the ambient temperature, that is ...

#63

Robert, how apply your theorems for these positions?

$$ Black to move. a = -23; b = -22
$$ +---------------------------------+
$$ | O . X X . . b . X . X X X X X X |
$$ | O O . O X . O a O X X X . X O . |
$$ | . O O O . O O X O X . X , X O X |
$$ | . O . O O O . X O X . X X X O O |
$$ | . O ...

I don't understand what you're talking about

$$ Black to play and win
$$ +-----------------------+
$$ | . X X 9 O . O X O O . |
$$ | 4 O X 8 O . O X O 7 X |
$$ | . . X 6 O , O X O . . |
$$ | X X X O . . O X O O O |
$$ | O O O O . . O X X X X |
$$ | . . , . . , . O X . X |
$$ | O O . . . O O O X ...

Area counting. Komi 6.5
$$ Black to play and win
$$ +-----------------------+
$$ | . X X . O . O X O O . |
$$ | . O X . O . O X O . X |
$$ | . . X . O , O X O . . |
$$ | X X X O . . O X O O O |
$$ | O O O O . . O X X X X |
$$ | . . , . . , . O X . X |
$$ | O O . . . O O O X X . |
$$ | X O O O O X ...

It's funny. Another superko beast.

Area counting. Komi 6.5
$$ Black to play and win
$$ +-----------------------+
$$ | . X X . O . O X O O . |
$$ | . O X . O . O X O . X |
$$ | . . X X O , O X O . . |
$$ | X X X O . . O X O O O |
$$ | O O O O . . O X X X X |
$$ | . . , . . , . O X . X |
$$ | O O . . . O O O O X . |
$$ | X O O O O X ...

Area counting. Komi 6.5
$$ Black to play and win
$$ +-----------------------+
$$ | . X X . O . O X O O . |
$$ | . O X . O . O X O . X |
$$ | . . X X O , O X O . . |
$$ | X X X O . . O X O O O |
$$ | O O O O . . O X X X X |
$$ | . . , . . , . O X . X |
$$ | O O . . . O O O O X . |
$$ | X O O O O X ...