I’m just starting to investigate using formal analysis in practice and I think a much more practical topic is the symbolic execution frameworks which can analyze programs and feed them to theorem solvers like Z3.
The most useful and accessible symbolic execution package I’ve found so far is KLEE https://klee.github.io/
If anyone else has recommendations for tools or beginner material I’m all ears!
Nielson & Nielson have the standard textbook in static program analysis that is used everywhere. But it's quite unfriendly as it's written using abstract algebra. They've recently released two textbooks that are much gentler. Actually, I'd say they are easy going and fun but still retain all the mathematical rigor.
They use program graphs, which are a bit less general but a lot easier to digest. They cover all major techniques, including theorem proving, static analysis, model checking, abstract interpretation, type and effect systems, etc:
There's also a companion website with some F# code. The second book, which seems still unfinished discusses how to implement program analyses using datalog. This speeds up development quite a lot. Otherwise, developing your own static analyzer is a lot of work.
My dream is to implement some kind of framework that enables quick DSL creation along with lightweight formal methods support to verify programs written in each DSL. I think restricted semantics is the key to make formal methods practical. Quoting Alan Perlis, "Beware of the Turing tar-pit in which everything is possible but nothing of interest is easy."
>My dream is to implement some kind of framework that enables quick DSL creation along with lightweight formal methods support to verify programs written in each DSL.
There's work in this area using monads. Specifically, Darais (from Galois) et al show in "Abstracting Definitional Interpreters" how given a definitional interpreter you can easily create all sorts of abstractions using a stack of monad transformers. The best part of it all is that your particular chosen stack remains valid when moved between interpreters of different languages.
Your dream of varied static analysis can be achieved using monad transformers, definitional interpreters written in the required style, and Racket's DSL-creation system.
Another option: the "reversing" challenges in infosec Capture The Flag competitions regularly require you to work out which constraints a program has implemented and then plug into Z3 or Angr to find a solution, that might be a fun way to learn.