Simple SMT solver for use in an optimizing compiler

This is a second blog post in a series about engineering optimizing compilers; the previous was Quasi-quoting DSLs for free. In this blog we will see how we might write a very simple SMT solver that will allow us to write an optimization pass that can turn something like

if a == 0 then
  if !(a == 0) && b == 1 then
    write 1
  else
    write 2
else
  write 3

into

if a == 0 then
  write 2
else
  write 3

without much effort at all. Read more at well-typed.com