User blog comment:Hyp cos/Fundamental Sequences in Taranovsky's Notation/@comment-35470197-20190918031607/@comment-35470197-20190918080549

> In the algorithm, if we find C(0,x) not standard from a previous step 6, then we do not check x. Instead, we check what x reduces to.

Thank you. This is exactly what I wanted to know. (And right, it is obvious from the definition of the notion of standard terms that x is never standard here. I should understand it before asking you.)