An effective theory of type refinements

We develop an explicit two level system that allows programmers to reason about the behavior of effectful programs. The first level is an ordinary ML-style type system, which confers standard properties on program behavior. The second level is a conservative extension of the first that uses a logic of type refinements to check more precise properties of program behavior. Our logic is a fragment of intuitionistic linear logic, which gives programmers the ability to reason locally about changes of program state. We provide a generic resource semantics for our logic as well as a sound, decidable, syntactic refinement-checking system. We also prove that refinements give rise to an optimization principle for programs. Finally, we illustrate the power of our system through a number of examples.

• Type: Conference
• Year: 2003
• Where: ICFP
• Authors: Yitzhak Mandelbaum, David Walker, Robert Harper
• Keywords: ICFP 2003, Intuitionistic Linear Logic, Program Behavior, Programming Languages, Type Refinements