Gokyo Shumyo, Section 1, Problem 30 / Solution

Traditional Solution  

secures life with points.

Alternative Solution  

descent also lives, though White can make seki in gote.

Failure 1  

The hane makes miai of a and b.

Failure 2  

Becomes ko.

Failure 3  

is quietly met by and Black can't make life. ( at may lead to ko depending on outside situation)

Variation  

a and b are miai.