Principles and Applications of Refinement Types

A refinement type {x:T|C} is the subset of the type T consisting of the values x to satisfy the formula C. In these tutorial notes we explain the principles of refinement types by developing from first principles a concurrent lambda-calculus whose type system supports refinement types. Moreover, we describe a series of applications of our refined type theory and of related systems.

MSR-TR-2009-147-SP1.pdf
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TypeTechReport
NumberMSR-TR-2009-147
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