Refinement types enrich a language's type system with logical predicates that circumscribe
the set of values described by the type. These refinement predicates provide software …

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Dependent refinement types are types equipped with predicates that specify preconditions
and postconditions of underlying functional languages. We propose a general semantic …

Dependently-typed programming languages are gaining importance, because they can
guarantee a wide range of properties at compile time. Their use in practice is often …

C#, Dart, Pyret, Racket, TypeScript, VB: many recent languages integrate dynamic and static
types via gradual typing. We systematically develop four calculi for gradual typing and the …

Harnessing the power of dependently typed languages can be difficult. Programmers must
manually construct proofs to produce well-typed programs, which is not an easy task. In …

Many popular programming languages, including Ruby, JavaScript, and Python, feature
dynamic type systems, in which types are not known until runtime. Dynamic typing provides …

In this dissertation we present the design, implementation, and study theefficacy of three
interrelated techniques for debugging memory safety errors inmodern memory management …

Refinement type checkers are a powerful way to reason about functional programs. For
example, one can prove properties of a slow, specification implementation, porting the …