ezyang’s blog

the arc of software bends towards understanding

Getting a fix on fixpoints

Previously, we’ve drawn Hasse diagrams of all sorts of Haskell types, from data types to function types, and looked at the relationship between computability and monotonicity. In fact, all computable functions are monotonic, but not all monotonic functions are computable. Is there some description of functions that entails computability? Yes: Scott continuous functions. In this […]

  • December 13, 2010