User blog comment:ArtismScrub/New array notation idea?/@comment-25601061-20171204221950/@comment-30754445-20171206022917

No. It's actually much weaker than ordinary linear arrays because the way rule 4 works:

μ(a,b, ☆ ,c,d) = μ(a,b, ☆ ,μ(a,b, ☆ ,c-1,d),d-1)

This is similar to Conway Arrows, but BEAF and similar notations use the much stronger rule:

(a,b,c, ☆ ) = (a,(a,b-1,c, ☆ ),c-1, ☆)

This is why BEAF Linear Arrays are much stronger than Conway Arrows (ωω vs ω2). My guess is that ArtismScrub's notation will turn out to be a little stronger than Conway, if at all.