… : Local Variables In ex1 in Figure 2, we illustrate the problem posed by local binders that lack
(refinement) type … To do so, we must synthesize a sufficiently strong type for the local binder …

… inductive values, such as in the definition of length, allows us to use the index refinements
locally in the bodies of the various clauses for different patterns. Liquid Haskell similarly …

… on refinement types into a unified tutorial that explains the key ingredients of modern
refinement type systems. In particular, we show how to implement a refinement type checker via a …

… We consider refinement types of f with type refinements … refinement type checking, we
restrict type refinements to the … Other unknown refinement variables, associated with local ex…

… The gradual language we present is type safe, type sound, and satisfies the refined criteria
… is local if it only restricts the refinement variable ν. Capturing when a formula is local goes …

… Overall, the goal of our research is to provide a general, robust and extensible theory of
type refinements that captures sound techniques for local reasoning about program state. We …

… to render refinement typing practical on … locally flowsensitive reasoning via SSA translation
and formalizes the interaction of mutability and refinements via declarative refinement type …

… of refinements to be fully automatic. In this article we present a simple refinement type …
type inference. Concretely, we build on the algebraic subtyping approach and extend it with …

… type checking rules to obtain refutations. Second, we extend the approach to account for
global constraint-based refinement … that suffice to demonstrate why typing fails. Third, we …

… F , a core calculus with a refinement type system that combines … type variables can be
instantiated with refined types. So, the type variable of fix can be instantiated with the refined type …