You can write a prover like Coq in a Lisp, but, though it's easier than doing it in C, I think it's somewhat harder than doing it in something like OCaml. ACL2

You can write a prover like Coq in a Lisp, but, though it's easier than doing it in C, I think it's somewhat harder than doing it in something like OCaml. ACL2 is an example of such a thing.