| There's some nice literature. I got into the field 15 years ago and there were practically no good textbooks. Things are way better now: https://avigad.github.io/formal_methods_in_education/ 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: - Formal Methods: An Appetizer https://www.springer.com/gp/book/9783030051556 - Program Analysis: An Appetizer https://arxiv.org/abs/2012.10086 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." |
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.