Subset names for CxLL algs

TardySloth

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Oct 12, 2020
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Hello community,
I am new to speedcubing and after I learned a very cumbersome LBL method as child in the early 80ties (yea, I am old now). I got back to cubing last X-mas and I am now learning Roux.
So far I made up my own CMLL alg-selection from algdb.net.
And some of the CMLL algs are also COLL algs as they preserve F2L and also keep edge orientation.
But I would like to classify all of those algs into 4 separate groups; 3 of them have already names:

1. CMLL (destroying M-slice; e.g. r'UrU2R2'FRF'R )
2. CLL (keep F2L, change EO, change EP, e.g. F RUR'U' F' )
3. COLL (keep F2L, keep EO, change EP, e.g. RU2R'U' RUR'U' RU'R' )
4. ???? (keep F2L, keep EO, preserve EP, e.g. F RUR'U' RUR'U' RUR'U' F' )

For the 4th one I am searching a proper name. something like OCLL (Only Corners of Last Layer).
The reason to distinguish 4th group from the 3rd is following:

After finishing blocks, Roux-method tells to do CMLL-step. But ff I see a "good" arrow case, I want to make use of it and execute the EO-step (4c) before CMLL. This costs me only and 4 moves (AUF+MUM) and the expensive LU/RU pieces are parked on FD/BD positions inside F2L. But this works only if the CMLL alg don't mess up with F2L (alg of groups 2, 3 and 4). And even as it works for a group-4 algs, it makes no sense on those algs because an group 4 alg won't destroy the good arrow and I can perform it after CMLL.
To make this idea a bit more generic, if the CMLL-step requires an alg of group 2 or 3 it might be a good idea to do EOLR (4a+4b) with parking the LU/RU pieces on FD/BD positions. If the EOLR case is a bad one, then do CMLL and hope for a better EOLR after CMLL-step :)

Suggestions for a name for algorithms in group 4?
I was thinking about OCLL (Only Corners of Last Layer) - but it sounds weird to me; especially as it does not start with "C".
 
Thanks everyone. Rouxl.es was new to me. Really a great site.
My sources so far have been Kian youtube tutorials and his amazing website.
Also some info from waffle, but his homepage is broken, unfortunately.
 
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