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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

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

We present a new type system combining occurrence typing, previously used to type check programs in dynamically-typed languages such as Racket, JavaScript, and Ruby, with dependent refinement types. We demonstrate that the addition of…

Programming Languages · Computer Science 2016-10-05 Andrew M. Kent , David Kempe , Sam Tobin-Hochstadt

We study a class of two-stage stochastic programs in which the second stage includes a set of components with uncertain capacity, and the expression for the distribution function of the uncertain capacity includes first-stage variables.…

Optimization and Control · Mathematics 2024-09-16 Hugh Medal , Samuel Affar

In recent work we have presented a novel algorithm for mesh refinement which utilizes a reduced model. In particular, the reduced model is used to monitor the transfer of activity (e.g. mass, energy) from larger to smaller scales. When the…

Numerical Analysis · Mathematics 2014-02-27 Panagiotis Stinis

Refinement types are a popular way to specify and reason about key program properties. In this paper, we introduce RTR, a new system that adds refinement types to Ruby. RTR is built on top of RDL, a Ruby type checker that provides basic…

Programming Languages · Computer Science 2017-11-28 Milod Kazerounian , Niki Vazou , Austin Bourgerie , Jeffrey S. Foster , Emina Torlak

This paper presents an application of specification based runtime verification techniques to control mobile robots in a reactive manner. In our case study, we develop a layered control architecture where runtime monitors constructed from…

Robotics · Computer Science 2019-02-12 Dogan Ulus , Calin Belta

We propose a novel method for inferring refinement types of higher-order functional programs. The main advantage of the proposed method is that it can infer maximally preferred (i.e., Pareto optimal) refinement types with respect to a…

Programming Languages · Computer Science 2015-05-19 Kodai Hashimoto , Hiroshi Unno

We consider the problem of type-directed component based synthesis where, given a set of (typed) components and a query type, the goal is to synthesize a term that inhabits the query. Classical approaches based on proof search in…

Programming Languages · Computer Science 2022-04-01 Zheng Guo , Michael James , David Justo , Jiaxiao Zhou , Ziteng Wang , Ranjit Jhala , Nadia Polikarpova

Iteratively improving and repairing source code with large language models (LLMs), known as refinement, has emerged as a popular way of generating programs that would be too complex to construct in one shot. Given a bank of test cases,…

Software Engineering · Computer Science 2024-10-31 Hao Tang , Keya Hu , Jin Peng Zhou , Sicheng Zhong , Wei-Long Zheng , Xujie Si , Kevin Ellis

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

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

It has been observed that linearizability, the prevalent consistency condition for implementing concurrent objects, does not preserve some probability distributions. A stronger condition, called strong linearizability has been proposed, but…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-30 Hagit Attiya , Constantin Enea

Session types capture precise protocol structure in concurrent programming, but do not specify properties of the exchanged values beyond their basic type. Refinement types are a form of dependent types that can address this limitation,…

Logic in Computer Science · Computer Science 2012-11-20 Pedro Baltazar , Dimitris Mostrous , Vasco T. Vasconcelos

We propose an automated verification technique for hypersafety properties, which express sets of valid interrelations between multiple finite runs of a program. The key observation is that constructing a proof for a small representative set…

Programming Languages · Computer Science 2019-05-23 Azadeh Farzan , Anthony Vandikas

Our scientific knowledge is increasingly built on software output. User code which defines data analysis pipelines and computational models is essential for research in the natural and social sciences, but little is known about how to…

Software Engineering · Computer Science 2020-03-16 Maxwell Shinn

Tanaka et al. proposed a type system for verifying functional correctness properties of programs that use arrays and pointer arithmetic. Their system extends ConSORT -- a type system combining fractional ownership and refinement types for…

Programming Languages · Computer Science 2026-04-27 Yusuke Fujiwara , Yusuke Matsushita , Kohei Suenaga , Atsushi Igarashi

A coverage type generalizes refinement types found in many functional languages with support for must-style underapproximate reasoning. Property-based testing frameworks are one particularly useful domain where such capabilities are useful…

Programming Languages · Computer Science 2025-09-03 Zhe Zhou , Benjamin Delaware , Suresh Jagannathan

Recent years have seen growing interest in the retrofitting of type systems onto dynamically-typed programming languages, in order to improve type safety, programmer productivity, or performance. In such cases, type system developers must…

Programming Languages · Computer Science 2016-05-05 Esben Andreasen , Colin S. Gordon , Satish Chandra , Manu Sridharan , Frank Tip , Koushik Sen

We study termination of higher-order probabilistic functional programs with recursion, stochastic conditioning and sampling from continuous distributions. Reasoning about the termination probability of programs with continuous distributions…

Programming Languages · Computer Science 2021-04-13 Raven Beutner , Luke Ong