> E.g., if you can separate the set of functions into "functions that (indirectly) are exported or have their address taken" and "functions that (indirectly) invoke a function pointer", then you know that there can't be any recursion through function pointers. Basically just a form of escape analysis.
Sure, in toy examples. But you can't actually do this in a nontrivial codebase that wasn't written to support it from the ground up.
> And if you're writing your own language, you can just have explicit 'colored' functions (and corresponding pointers), and enforce that the call graph between different colors has no cycles, and no function invokes a pointer of its own color. Generics would get a bit messy, but it's still far from impossible.
Everything is easy when you don't spend 5 minutes thinking about the possible problems with it, much less actually implement the idea you're proposing.