Has anyone looked into how to decouple logic variables from backtracking? i.e., is there a good reason to unbind a variable apart from the Prolog discipline? (Without unbinding we get single-assignment variables where initialisation is decoupled from declaration, which I feel can often be simulated with laziness ala Haskell, but see CTM.)

[1] https://webperso.info.ucl.ac.be/~pvr/book.html

My specific concern is that by having logical semantics in a language you can represent non-deterministic ambiguous computations, but for this you need divergent paths which, if I understand correctly, the authors have removed from their language. So what's the point of doing this?