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CGT Discussion
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JanDeWit: Yesterday, I borrowed a copy of Winning Ways, volume 1' and I'll start reading it this weekend. So hopefully soon I will have no more stupid questions, just intelligent ones.

Bill: Enjoy Winning Ways. :-) As for stupid questions, I haven't seen any. :-)

Jan: It sure is an enjoyable book! And it helped my understanding of the subject matter a lot, which helped me improve my program. It can reduce games to canonical forms now (and sometimes even print them nicely), perform arithmetic and compute the stops. So pretty soon it should be able to do Chilling and maybe even draw thermograph?s.

Bill, am I correct in saying that every normal (non-loopy) game can be represented as a tree, which either is a rational number or contains two non-empty lists (left and right options) of trees? This is not made explicit in 'Winning Ways' but would help enormously in working with thermographs...

And could you check what I've written on Chilling, please?


BillSpight: With finite games you only have to worry about dyadic rationals and infinitesimals. I believe that if there are no Left options or if there are no Right options, the game is an integer. For instance, {^ | } = 1.

On the Chilling page you have written about cooling. The two are (subtly) different. You should move what you have written to a Cooling page. I'll make a few comments. :-)


JanDeWit: OK, what is Chilling then?

That { ^ | } = 1 follows from the Simplicity Rule, right?


Matti Siivola: I have found CGT values of points in normal yose and CGT values of eye spaces. However I haven't seen anything about CGT values of connections on this Wiki.

Charles Matthews There isn't anything.

KarlKnechtel: There is now. ;)


Bill: BTW, there are also CGT values for liberties in semeai. :-) Martin Mueller? and Nakamura Teigo have both studied them.

KarlKnechtel: You've got to be kidding me. And you can get non-integer values and infinitesimals and all that icky stuff there, too? I'd like to see that...




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