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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

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…

Programming Languages · Computer Science 2022-07-13 Michael Borkowski , Niki Vazou , Ranjit Jhala

Rust represents a major advancement in production programming languages because of its success in bridging the gap between high-level application programming and low-level systems programming. At the heart of its design lies a novel…

Programming Languages · Computer Science 2018-08-20 Aaron Weiss , Daniel Patterson , Amal Ahmed

Lighthouse projects such as CompCert, seL4, IronFleet, and DeepSpec have demonstrated that full verification of entire systems is feasible by establishing a refinement relation between an abstract system specification and an executable…

Logic in Computer Science · Computer Science 2020-10-13 Christoph Sprenger , Tobias Klenze , Marco Eilers , Felix A. Wolf , Peter Müller , Martin Clochard , David Basin

Static analysis tools are essential for ensuring memory safety in Rust programs, particularly as Rust gains adoption in safety-critical domains. However, existing tools such as Rudra and MirChecker suffer from high false positive rates,…

Software Engineering · Computer Science 2026-05-07 Akilesh P , Leuson Da Silva , Foutse Khomh , Sridhar Chimalakonda

Stepwise refinement of algebraic specifications is a well known formal methodology for program development. However, traditional notions of refinement based on signature morphisms are often too rigid to capture a number of relevant…

Logic in Computer Science · Computer Science 2015-07-01 Manuel A. Martins , Alexandre Madeira , Luis S. Barbosa

Ensuring compliance with Information Flow Security (IFS) is known to be challenging, especially for concurrent systems with large codebases such as multicore operating system (OS) kernels. Refinement, which verifies that an implementation…

Logic in Computer Science · Computer Science 2025-11-11 Huan Sun , David Sanán , Jingyi Wang , Yongwang Zhao , Jun Sun , Wenhai Wang

This paper advocates for the broader application of SMT solvers in everyday programming, challenging the conventional wisdom that these tools are solely for formal methods and verification. We claim that SMT solvers, when seamlessly…

Programming Languages · Computer Science 2025-09-19 Facundo Domínguez , Arnaud Spiwack

Implementation bugs threaten the soundness of algorithmic software verifiers. Generating correctness certificates for correct programs allows for efficient independent validation of verification results, and thus helps to reveal such bugs.…

Programming Languages · Computer Science 2026-02-27 Frank Schüssele , Matthias Zumkeller , Miriam Lagunes-Rochin , Dominik Klumpp

Refinement types -- types qualified with logical predicates -- have proven effective for lightweight verification in languages like Liquid Haskell, F*, and Dafny. However, in these systems refinements are either written in a separate…

Programming Languages · Computer Science 2026-05-12 Matt Bovel , Viktor Kunčak , Martin Odersky

Refinement types turn typechecking into lightweight verification. The classic form of refinement type is the datasort refinement, in which datasorts identify subclasses of inductive datatypes. Existing type systems for datasort refinements…

Programming Languages · Computer Science 2020-11-17 Jana Dunfield

Verification of C++ programs has seen considerable progress in several areas, but not for programs that use these languages' mathematical libraries. The reason is that all libraries in widespread use come with no guarantees about the…

Programming Languages · Computer Science 2022-06-23 Roberto Bagnara , Michele Chiari , Roberta Gori , Abramo Bagnara

Rust is a multi-paradigm programming language developed by Mozilla that focuses on performance and safety. Rust code is arguably known best for its speed and memory safety, a property essential while developing embedded systems. Thus, it…

Many foundational program verification tools have been developed to build machine-checked program correctness proofs, a majority of which are based on Hoare logic. Their program logics, their assertion languages, and their underlying…

Programming Languages · Computer Science 2023-10-27 Zhongye Wang , Qinxiang Cao , Yichen Tao

To derive a program for a given specification R means to find an artifact P that satisfies two conditions: P is executable in some programming language; and P is correct with respect to R. Refinement-based program derivation achieves this…

Software Engineering · Computer Science 2018-10-24 Marwa Benabdelali , Lamia Labed Jilani , Wided Ghardallou , Ali Mili

Refinement types sharpen systems of simple and dependent types by offering expressive means to more precisely classify well-typed terms. We present a system of refinement types for LF in the style of recent formulations where only canonical…

Programming Languages · Computer Science 2015-07-01 William Lovas , Frank Pfenning

We introduce the Fusion algorithm for local refinement type inference, yielding a new SMT-based method for verifying programs with polymorphic data types and higher-order functions. Fusion is concise as the programmer need only write…

Programming Languages · Computer Science 2017-06-27 Benjamin Cosman , Ranjit Jhala

Although Rust ensures memory safety by default, it also permits the use of unsafe code, which can introduce memory safety vulnerabilities if misused. Unfortunately, existing tools for detecting memory bugs in Rust typically exhibit limited…

Cryptography and Security · Computer Science 2025-10-28 Georgios Androutsopoulos , Antonio Bianchi

This dissertation introduces executable refinement types, which refine structural types by semi-decidable predicates, and establishes their metatheory and accompanying implementation techniques. These results are useful for undecidable type…

Programming Languages · Computer Science 2014-03-14 Kenneth Knowles

We present a new approach to automated reasoning about higher-order programs by endowing symbolic execution with a notion of higher-order, symbolic values. Our approach is sound and relatively complete with respect to a first-order solver…

Programming Languages · Computer Science 2016-03-22 Phuc C. Nguyen , Sam Tobin-Hochstadt , David Van Horn