This is actually fairly common in Clojure annd Clojure script. Sometimes using the Datomic DB as a backend for it.

This is an older presentation but its all about doing Datalog from the client to the DB.

See: https://www.youtube.com/watch?v=aI0zVzzoK_E

But if you go threw the Clojure world, there is Datalog all over the place, both client and server. Check out Datascript:

https://github.com/tonsky/datascript

This full-stack framework: http://book.fulcrologic.com/