Do you mean that we post a commutator, and when all moves are cancelled, it's a well-known algorithm?
Like the fact that Sune = [R U R2, R U2 R2]? Or are you asking us to find a single commutator solution to the position generated by a well-known algorithm (or the position of a OLL, PLL, etc.)?
T perm = [l, F R' F'] [F R U' R', U']
A perm = [l', [U, R' D2 R]]
U perm = [M2 U': [M, U2]]
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