# What does reverse lexicographic order mean?

What does reverse lexicographic order mean?

I met it when learning about Graded reverse lexicographic order. Here is the definition:

Graded reverse lexicographic order (grevlex, or degrevlex for degree reverse lexicographic order) compares the total degree first, then uses a reverse lexicographic order as tie-breaker

But I was not able to find a definition for a reverse lexicographic order.

• So, does it mean the following: monomial a is larger than monomial b with respect to a reverse lexicographic order if and only if a is smaller than b with respect to a lexicographic order? – manymanymore Jun 9 '18 at 9:50