Characterize pseudo-ASL term orders

Characterize pseudo-ASL term orders on finitely generated commutative algebras equipped with pseudo-ASL structures, and determine whether they admit a characterization in terms of weights analogous to Robbiano’s characterization of term orders on polynomial rings.

Background

A structural understanding of pseudo-ASL term orders, especially a weight-based characterization, would parallel classical results on term orders and would aid in establishing geometric properties such as flatness of degenerations in the pseudo-ASL setting.