I would appreciate thoughts on the below since I don't see this variation in the library and feel I did not play optimally. I recently played a game where black played the cut on the inside and then played Atari instead of crawling (see this sequence under the "Atari" heading here: http://senseis.xmp.net/?34PointHighApproachOneSpaceLowPincer33Attachment
As white, I played the normal response with an extension to "2", but black responded with 3 instead of playing at a.
The result was this with white to play:
Uberdude: You should simply turn at 4, now a and b are miai so you capture one of the cutting stones for a great result. Resist the urge to always atari.
Thank you Uberdude! Can you confirm my read below? (and thanks for educating this double-digit kyu - I really appreciate it)
I think the key piece I was missing was that I was concerned that after 4, black could play 5 at c or d and short white's group to two liberties , and I would lose the capturing race. What I think I was missing is that if black plays 5 at c or d, white could then atari with 6 at e, black would have to extend the cutting stone out to a at 7, and then my group's liberties are no longer short because I can capture the stone played at 1, leaving white free to play 8 at b.
After black extends to a with 7, white can play 8 at b and capture the black group on the left regardless of whether black played 5 at c or d.