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*--------------------------------------------------------------------*
| 5 2 7 | 4 6 1 | 89 3 89 |
| 169 8 169 | 2 3 7 | 16 ...

Aran

On my side, I may be improperly called loops the chains I wrote all the more since their ranks are undefined due to overlapping truths.

Insofar as it has the form x=.......=y-x it's a loop ...

JC Van Hay

Or thinking in base/cover/rank terms
it's a rank 1 structure => not a loop
ie
Base
4 truths : 2r7 2r1 4r1 4r7
Cover :
5 truths : 2c9 r1c6 4c2 r7c3 + 4r7c5
Rank = 5-4=1.

Logi ...

aran

Could you check your PM after your step 2.
For comparison, here is the one I get :
.---------------------.---------------------.---------------------.
| 3 789 4 | 128 5 ...

*--------------------------------------------------------------------*
| 3 789 4 | 1258 578 178 | 1279 1279 6 |
| 5 2 67 | 16 9 3 | 17 ...

*-----------------------------------------------------------------------------*
| 2367 235678 2358 | 369 67 1 | 4 35679 567 |
| 3467 34567 345 | 3469 ...

Hi, Dan. I know you're just trying to "wing" it when you throw in an als like this, but an xy-chain is still just an xy-chain.
Looking at it another way an xy-chain with three xy's is an xy ...

Or
7r4c6=(3+7)r95c1 :=><7>r4c13

arkietech writes
(9=5)r6c3-(5=8)aur:r46c19-(8=1)r4c7-(1=9)r4c9 => -9r4c1,r6c9
which could be expressed
(9=5)r6c3-5r6c19=(AUR-UR)r46c19=1r4c7-(1=9)r4c9
in which the AUR appears in its own righ ...

On notation in an AUR setting :
tlanglet writes :
AUR(19)r46c19arkietech writes
(9=5)r6c3-(5=8)aur:r46c19-(8=1)r4c7-(1=9)r4c9 => -9r4c1,r6c9
which could be expressed
(9=5)r6c3-5r6c19=(AUR-UR)r ...

Interesting to see reference to a Death Blossom
Which leads to some considerations :
There is a category distinction between Patterns which result from an interesting concept, and which are detected ...

On the matter of notation for almost structures :
the basic form is always :
Almost Element=Structure
or its equivalent
Structure=Almost Element
this form then develops into
[AE-.....=>z] = [ ...

Is this the same concept? Question

Difficult to find a better solution than yours.
Any attempt to construe it as an XY-W would obscure things.
Could be seen as an Almost XY-W 167(r3c1+r1c3+r1c7)

Well, then you must know something that my solver doesn't !!!

daj
Apologies
I had "F11"ed the puzzle from that position through SSTS, which began on a singles roll, deviously lulling ...

*-----------------------------------------------------------------------------*
| 13679 3569 126 | 569 4 256 | 17 127 8 |
| 169 569 8 | 569 ...

Not a very serious solution

DL-ALS 12467r2489c3 248r25c9
4-4
8-7 : (8-2)r5c9=(2-7)r5c8=7r4c8
{12674] {482}
=><4>r2c57 <1>r5c3
=>r8c3=1 ste
Hmmm! I must be missing something. ...

*-----------------------------------------------------------*
| 9 146 8 | 2 146 7 | 46 3 5 |
| 156 7 1246 | 56 1469 3 | 469 8 24 |
| 56 ...

Indeed, I think an ALS-anything term is inappropriate unless at least one cell has three or more candidates, i.e., is poly-valued.
This would appear to be semantics, at least I'm taking it to mean ...

*-----------------------------------------------------------*
| 2 1 37 | 9 6 37 | 8 5 4 |
| 9 5 38 | 13 138 4 | 2 6 7 |
| 4 ...

*-----------------------------------------------------------------------------*
| 5689 5689 579 | 56789 35678 35689 | 4 2 1 |
| 4 5689 1 | 56789 ...