User blog comment:Ynought/Extended degree function/@comment-35470197-20181230222231/@comment-35470197-20190101121706

Well, I have not verified the termination yet (and hence could not evaluate). I need to know more about the definition.

For example, what is \(t\) in 1.1.2 and 1.1.3? Is that any term (not necessarily the current, i.e. the leftmost, term \((C)_{(E)}\)) of \([k] \textrm{°$}\)?

In order to avoid such ambiguity, it is better for you to give examples of \([k] \textrm{°$}\) such that the computations include all rules. (All examples which you have written are computations only with the previous rules. Also, I guess that \((11)_{(0)}\) in your explanation would be \((13)_{(0)}\).)