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Writing accurate numerical software is hard because of many sources of unavoidable uncertainties, including finite numerical precision of implementations. We present a programming model where the user writes a program in a real-valued…

Programming Languages · Computer Science 2013-09-11 Eva Darulova , Viktor Kuncak

Software correctness is ensured mathematically through formal verification, which involves the resources of generating formal requirement specifications and having an implementation that must be verified. Tools such as model-checkers and…

Software Engineering · Computer Science 2025-08-29 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

In theorem prover or SMT solver based verification, the program to be verified is often given in an intermediate verification language such as Boogie, Why, or CHC. This setting raises new challenges. We investigate a preprocessing step…

Software Engineering · Computer Science 2019-01-08 Daniel Dietsch , Matthias Heizmann , Jochen Hoenicke , Alexander Nutz , Andreas Podelski

Quantum error correction (QEC) is fundamental for suppressing noise in quantum hardware and enabling fault-tolerant quantum computation. In this paper, we propose an efficient verification framework for QEC programs. We define an assertion…

Programming Languages · Computer Science 2025-10-30 Qifan Huang , Li Zhou , Wang Fang , Mengyu Zhao , Mingsheng Ying

This article describes the development and formal verification (proof of semantic preservation) of a compiler back-end from Cminor (a simple imperative intermediate language) to PowerPC assembly code, using the Coq proof assistant both for…

Logic in Computer Science · Computer Science 2009-11-14 Xavier Leroy

Optimizing compilers have become a cornerstone for high-performance program generation in research and industry. Optimizations, including those implemented manually by a user and those target-specific and non-target-specific, are used to…

Programming Languages · Computer Science 2026-05-05 Emily Tucker , Louis-Noël Pouchet , Erika Hunhoff , Stephen Neuendorffer , Erwei Wang

The technology of formal software verification has made spectacular advances, but how much does it actually benefit the development of practical software? Considerable disagreement remains about the practicality of building systems with…

Software Engineering · Computer Science 2026-01-21 Li Huang , Sophie Ebersold , Alexander Kogtenkov , Bertrand Meyer , Yinling Liu

Formally verified compilers and formally verified static analyzers are a solution to the problem that certain industries face when they have to demonstrate to authorities that the object code they run truly corresponds to its source code…

Logic in Computer Science · Computer Science 2024-07-12 David Monniaux

In various provers and deductive verification tools, logical transformations are used extensively in order to reduce a proof task into a number of simpler tasks. Logical transformations are often part of the trusted base of such tools. In…

Logic in Computer Science · Computer Science 2021-07-07 Quentin Garchery

Verification is the process of checking whether a product has been implemented according to its prescribed specifications. We study the case of a designer (the developer) that needs to verify its design by a third party (the verifier), by…

Cryptography and Security · Computer Science 2016-05-13 Yixian Cai , George Karakostas , Alan Wassyng

Abstract interpreters are complex pieces of software: even if the abstract interpretation theory and companion algorithms are well understood, their implementations are subject to bugs, that might question the soundness of their…

Programming Languages · Computer Science 2021-10-19 Lucas Franceschino , David Pichardie , Jean-Pierre Talpin

Static verification techniques leverage Boolean formula satisfiability solvers such as SAT and SMT solvers that operate on conjunctive normal form and first order logic formulae, respectively, to validate programs. They force bounds on…

Software Engineering · Computer Science 2014-09-25 Fadi A. Zaraket , Mohamad Noureddine

Test or prove? These two approaches to software verification have long been presented as opposites. One is dynamic, the other static: a test executes the program, a proof only analyzes the program text. A different perspective is emerging,…

Software Engineering · Computer Science 2026-02-10 Li Huang , Bertrand Meyer , Manuel Oriol

VeriFast is a powerful tool for verification of various correctness properties of C programs using symbolic execution. However, VeriFast itself has not been verified. We present a proof-of-concept extension which generates a correctness…

Logic in Computer Science · Computer Science 2021-10-22 Stefan Wils , Bart Jacobs

Formal verification techniques aim at formally proving the correctness of a computer program with respect to a formal specification, but the expertise and effort required for applying formal specification and verification techniques and…

Software Engineering · Computer Science 2023-01-10 João Pascoal Faria , Rui Abreu

Formal verification provides strong guarantees of correctness of software, which are especially important in safety or security critical systems. Hoare logic is a widely used formalism for rigorous verification of software against…

Programming Languages · Computer Science 2021-03-11 Jayaraj Poroor

Use case driven development methodologies put use cases at the center of the software development process. However, in order to support automated development and analysis, use cases need to be appropriately formalized. This will also help…

Software Engineering · Computer Science 2016-03-30 Rui Couto , António Nestor Ribeiro , José Creissac Campos

Formal software verification uses mathematical techniques to establish that software has certain properties. For example, that the behaviour of a software system satisfies certain logically-specified properties. Formal methods have a long…

Software Engineering · Computer Science 2019-03-12 Michael Winikoff

Software system certification presents itself with many challenges, including the necessity to certify the system at the level of functional requirements, code and binary levels, the need to chase down run-time errors, and the need for…

Software Engineering · Computer Science 2007-05-23 Eric Feron , Mardavij Roozbehani

A program verifier is a tool that can be used to verify that a "contract" for a program holds - i.e. given a precondition the program guarantees that a given postcondition holds - by only working at the level of the annotated program. An…

Software Engineering · Computer Science 2014-06-12 Gudmund Grov