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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

Automated verification of functional correctness of imperative programs with references (a.k.a. pointers) is challenging because of reference aliasing. Ownership types have recently been applied to address this issue, but the existing…

Programming Languages · Computer Science 2023-11-01 Takashi Nakayama , Yusuke Matsushita , Ken Sakayori , Ryosuke Sato , Naoki Kobayashi

Refinement types enrich a language's type system with logical predicates that circumscribe the set of values described by the type, thereby providing software developers a tunable knob with which to inform the type system about what…

Programming Languages · Computer Science 2020-10-16 Ranjit Jhala , Niki Vazou

Verification of higher-order probabilistic programs is a challenging problem. We present a verification method that supports several quantitative properties of higher-order probabilistic programs. Usually, extending verification methods to…

Logic in Computer Science · Computer Science 2024-07-04 Satoshi Kura , Hiroshi Unno

Many important security properties can be formulated in terms of flows of tainted data, and improved taint analysis tools to prevent such flows are of critical need. Most existing taint analyses use whole-program static analysis, leading to…

Programming Languages · Computer Science 2025-05-02 Nima Karimipour , Kanak Das , Manu Sridharan , Behnaz Hassanshahi

We present an automated framework for solidifying the cohesion between software specifications, their dependently typed models, and implementation at compile time. Model Checking and type checking are currently separate techniques for…

Programming Languages · Computer Science 2024-07-18 Thomas Ekström Hansen , Edwin Brady

Refinement types are a well-studied manner of performing in-depth analysis on functional programs. The dependency pair method is a very powerful method used to prove termination of rewrite systems; however its extension to higher order…

Logic in Computer Science · Computer Science 2011-01-25 Cody Roux

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

When scripts in untyped languages grow into large programs, maintaining them becomes difficult. A lack of explicit type annotations in typical scripting languages forces programmers to must (re)discover critical pieces of design information…

Programming Languages · Computer Science 2011-06-15 Sam Tobin-Hochstadt , Matthias Felleisen

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

We study a type checking algorithm that is able to type check a nontrivial subclass of functional programs that use features such as higher-rank, impredicative and second-order types. The only place the algorithm requires type annotation is…

Logic in Computer Science · Computer Science 2017-11-15 Peng Fu

We present ConSORT, a type system for safety verification in the presence of mutability and aliasing. Mutability requires strong updates to model changing invariants during program execution, but aliasing between pointers makes it difficult…

Programming Languages · Computer Science 2020-02-19 John Toman , Ren Siqi , Kohei Suenaga , Atsushi Igarashi , Naoki Kobayashi

We propose a novel type system for verifying that programs correctly implement constant-resource behavior. Our type system extends recent work on automatic amortized resource analysis (AARA), a set of techniques that automatically derive…

Programming Languages · Computer Science 2018-01-09 Van Chan Ngo , Mario Dehesa-Azuara , Matthew Fredrikson , Jan Hoffmann

Refinement types enable lightweight verification of functional programs. Algorithms for statically inferring refinement types typically work by reduction to solving systems of constrained Horn clauses extracted from typing derivations. An…

Programming Languages · Computer Science 2020-11-11 Zvonimir Pavlinovic , Yusen Su , Thomas Wies

We present {\lambda}ert, a type theory supporting refinement types with explicit proofs. Instead of solving refinement constraints with an SMT solver like DML and Liquid Haskell, our system requires and permits programmers to embed proofs…

Programming Languages · Computer Science 2023-11-27 Jad Elkhaleq Ghalayini , Neel Krishnaswami

A long-standing shortcoming of statically typed functional languages is that type checking does not rule out pattern-matching failures (run-time match exceptions). Refinement types distinguish different values of datatypes; if a program…

Programming Languages · Computer Science 2020-09-22 Khurram A. Jafery , Jana Dunfield

In this paper we show how prescritive type checking and constraint solving can be combined to increase automation during software verification. We do so by defining a type system and implementing a typechecker for {log} (read `setlog'), a…

Logic in Computer Science · Computer Science 2025-01-22 Maximiliano Cristiá , Gianfranco Rossi

This article presents liquid resource types, a technique for automatically verifying the resource consumption of functional programs. Existing resource analysis techniques trade automation for flexibility -- automated techniques are…

Programming Languages · Computer Science 2020-07-03 Tristan Knoth , Di Wang , Adam Reynolds , Jan Hoffmann , Nadia Polikarpova

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

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
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