Existence of good term orders for all pseudo-ASLs

Determine whether, for every pseudo-ASL A and every A-module map φ as in Definition 5.*, there always exists a pseudo-ASL term order on A^d that is good for (≺₀, φ), beyond the domain case handled in Proposition 5.*.

Background

‘Good’ term orders on free modules are central to the pseudo-ASL analogue of Schreyer’s theorem. The domain case ensures existence, but it is unknown whether such orders exist in general pseudo-ASLs.