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Session types statically prescribe bidirectional communication protocols for message-passing processes. However, simple session types cannot specify properties beyond the type of exchanged messages. In this paper we extend the type system…

Programming Languages · Computer Science 2020-05-14 Ankush Das , Frank Pfenning

Instruction sets, from families like x86 and ARM, are at the center of many ambitious formal-methods projects. Many verification, synthesis, programming, and debugging tools rely on formal semantics of instruction sets, but different tools…

Logic in Computer Science · Computer Science 2022-11-18 Thomas Bourgeat , Ian Clester , Andres Erbsen , Samuel Gruetter , Pratap Singh , Andrew Wright , Adam Chlipala

We present a new type system combining refinement types and the expressiveness of intersection type discipline. The use of such features makes it possible to derive more precise types than in the original refinement system. We have been…

Programming Languages · Computer Science 2015-03-18 Mário Pereira , Sandra Alves , Mário Florido

Refinement transforms an abstract system model into a concrete, executable program, such that properties established for the abstract model carry over to the concrete implementation. Refinement has been used successfully in the development…

Logic in Computer Science · Computer Science 2023-11-27 Aurel Bílý , João C. Pereira , Jan Schär , Peter Müller

We present the design, implementation, and foundation of a verifier for higher-order functional programs with generics and recursive data types. Our system supports proving safety and termination using preconditions, postconditions and…

Logic in Computer Science · Computer Science 2020-03-25 Jad Hamza , Nicolas Voirol , Viktor Kunčak

Refinement calculus is a powerful and expressive tool for reasoning about sequential programs in a compositional manner. In this paper we present an extension of refinement calculus for reactive systems. Refinement calculus is based on…

Software Engineering · Computer Science 2014-06-24 Viorel Preoteasa , Stavros Tripakis

The program synthesis problem within the Inductive Logic Programming (ILP) community has typically been seen as untyped. We consider the benefits of user provided types on background knowledge. Building on the Meta-Interpretive Learning…

Artificial Intelligence · Computer Science 2021-02-26 Rolf Morel

Type refinements combine the compositionality of typechecking with the expressivity of program logics, offering a synergistic approach to program verification. In this paper we apply dependent type refinements to SAX, a futures-based…

Programming Languages · Computer Science 2024-02-14 Siva Somayyajula , Frank Pfenning

The pattern-match safety problem is to verify that a given functional program will never crash due to non-exhaustive patterns in its function definitions. We present a refinement type system that can be used to solve this problem. The…

Programming Languages · Computer Science 2020-11-26 Eddie Jones , Steven Ramsay

We present a method for synthesizing recursive functions that provably satisfy a given specification in the form of a polymorphic refinement type. We observe that such specifications are particularly suitable for program synthesis for two…

Programming Languages · Computer Science 2016-04-22 Nadia Polikarpova , Ivan Kuraj , Armando Solar-Lezama

Toman et al. have proposed a type system for automatic verification of low-level programs, which combines ownership types and refinement types to enable strong updates of refinement types in the presence of pointer aliases. We extend their…

Programming Languages · Computer Science 2023-12-12 Izumi Tanaka , Ken Sakayori , Naoki Kobayashi

The elementary affine lambda-calculus was introduced as a polyvalent setting for implicit computational complexity, allowing for characterizations of polynomial time and hyperexponential time predicates. But these results rely on type…

Logic in Computer Science · Computer Science 2019-08-15 Lê Thành Dũng Nguyen

Type-level programming is an increasingly popular way to obtain additional type safety. Unfortunately, it remains a second-class citizen in the majority of industrially-used programming languages. We propose a new dependently-typed system…

Programming Languages · Computer Science 2020-11-17 Georg Stefan Schmid , Olivier Blanvillain , Jad Hamza , Viktor Kunčak

In recent years, great progress has been made in the field of formal verification for low-level systems. Many of them are based on one of two popular approaches: refinement or unary separation logic. These two approaches are very different…

Programming Languages · Computer Science 2025-07-14 Youngju Song , Minki Cho

We present a new technique called type targeted testing, which translates precise refinement types into comprehensive test-suites. The key insight behind our approach is that through the lens of SMT solvers, refinement types can also be…

Programming Languages · Computer Science 2017-08-29 Eric L. Seidel , Niki Vazou , Ranjit Jhala

We introduce Flux, which shows how logical refinements can work hand in glove with Rust's ownership mechanisms to yield ergonomic type-based verification of low-level pointer manipulating programs. First, we design a novel refined type…

Programming Languages · Computer Science 2022-11-15 Nico Lehmann , Adam Geller , Niki Vazou , Ranjit Jhala

We present a type system and inference algorithm for a rich subset of JavaScript equipped with objects, structural subtyping, prototype inheritance, and first-class methods. The type system supports abstract and recursive objects, and is…

Programming Languages · Computer Science 2016-10-19 Satish Chandra , Colin S. Gordon , Jean-Baptiste Jeannin , Cole Schlesinger , Manu Sridharan , Frank Tip , Youngil Choi

Compiler correctness proofs for higher-order concurrent languages are difficult: they involve establishing a termination-preserving refinement between a concurrent high-level source language and an implementation that uses low-level shared…

Programming Languages · Computer Science 2017-01-23 Joseph Tassarotti , Ralf Jung , Robert Harper

Session types statically prescribe bidirectional communication protocols for message-passing processes and are in a Curry-Howard correspondence with linear logic propositions. However, simple session types cannot specify properties beyond…

Programming Languages · Computer Science 2020-01-27 Ankush Das , Frank Pfenning

The recently introduced dependent typed higher-order logic (DHOL) offers an interesting compromise between expressiveness and automation support. It sacrifices the decidability of its type system in order to significantly extend its…

Logic in Computer Science · Computer Science 2025-07-04 Colin Rothgang , Florian Rabe