There's a bunch of work being done on making relational systems work this way. Some interesting reading:
- https://www.scattered-thoughts.net/writing/an-opinionated-ma...
- https://materialize.com/ which is built on https://timelydataflow.github.io/differential-dataflow/, which has a lot of research behind it
- Which also can be a compilation target for Datalog: https://github.com/vmware/differential-datalog
- Some prototype work on building UI systems in exactly the way you describe using a relational approach: https://riffle.systems/essays/prelude/ (and HN discussion: https://news.ycombinator.com/item?id=30530120)
(There's a lot more too -- I have a hobby interest in this space, so I have a small collection of links)