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arXiv · 2207.05617

Mechanizing Refinement Types (extended)

Michael Borkowski·Niki Vazou·Ranjit Jhala
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Abstract

Practical checkers based on refinement types use the combination of implicit semantic sub-typing and parametric polymorphism to simplify the specification and automate the verification of sophisticated properties of programs. However, a formal meta-theoretic accounting of the soundness of refinement type systems using this combination has proved elusive. We present \lambda_RF a core refinement calculus that combines semantic sub-typing and parametric polymorphism. We develop a meta-theory for this calculus and prove soundness of the type system. Finally, we give a full mechanization of our meta-theory using the refinement-type based LiquidHaskell as a proof checker, showing how refinements can be used for mechanization.

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Michael Borkowski, Niki Vazou, Ranjit Jhala. 2022-07-12. Mechanizing Refinement Types (extended). https://arxiv.org/abs/2207.05617

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