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ProofPeer strives to be a system for cloud-based interactive theorem proving. After illustrating why such a system is needed, the paper presents some of the design challenges that ProofPeer needs to meet to succeed. Contexts are presented…

Mathematical Software · Computer Science 2012-01-04 Steven Obua

Static program verifiers such as Spec#, Dafny, jStar, and VeriFast define the state of the art in automated functional verification techniques. The next open challenges are to make verification tools usable even by programmers not fluent in…

Software Engineering · Computer Science 2011-06-24 Julian Tschannen , Carlo A. Furia , Martin Nordio , Bertrand Meyer

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

Automated software verification is a very active field of research which has made enormous progress both in theoretical and practical aspects. Recently, an important amount of research effort has been put into applying these techniques on…

Programming Languages · Computer Science 2010-11-16 Guido de Caso , Diego Garbervetsky , Daniel Gorín

A step-by-step presentation of the code for a small theorem prover introduces theorem-proving techniques. The programming language used is Standard ML. The prover operates on a sequent calculus formulation of first-order logic, which is…

Logic in Computer Science · Computer Science 2016-08-31 Lawrence C. Paulson

Advances in training, post-training, and inference-time methods have enabled frontier reasoning models to win gold medals in math competitions and settle challenging open problems. Gaining trust in the responses of these models requires…

Machine Learning · Computer Science 2026-04-06 Aaditya Naik , Guruprerana Shabadi , Rajeev Alur , Mayur Naik

Many verification tools come out of academic projects, whose natural constraints do not typically lead to a strong focus on usability. For widespread use, however, usability is essential. Using a well-known benchmark, the Tokeneer problem,…

Software Engineering · Computer Science 2016-05-06 Mansur Khazeev , Victor Rivera , Manuel Mazzara , Alexander Tchitchigin

We provide full certifications of two versions of merge sort of arrays in the verification-aware programming language Dafny. We start by considering schemas for applying the divide-and-conquer or partition method of solution to…

Logic in Computer Science · Computer Science 2025-09-03 Juan Pablo Carbonell , José E. Solsona , Nora Szasz , Álvaro Tasistro

In the digital age, ensuring the correctness, safety, and reliability of software through formal verification is paramount, particularly as software increasingly underpins critical infrastructure. Formal verification, split into theorem…

Software Engineering · Computer Science 2026-04-03 Zhiyong Chen , Jialun Cao , Jiarong Wu , Chang Xu , Shing-Chi Cheung

The cutting edge in systems development today is in the area of "systems of systems" (SoS) large networks of inter-related systems that are developed and managed separately, but that also perform collective activities. Such large systems…

Software Engineering · Computer Science 2013-11-15 Eric Honour

This tutorial provides an introduction to CPAchecker for users. CPAchecker is a flexible and configurable framework for software verification and testing. The framework provides many abstract domains, such as BDDs, explicit values,…

Validating wireless protocol implementations is challenging. Today's approaches require labor-intensive experimental setup and manual trace investigation, but produce poor coverage and inaccurate and irreproducible results. We present…

Networking and Internet Architecture · Computer Science 2018-08-13 Jinghao Shi , Shuvendu Lahiri , Ranveer Chandra , Geoffrey Challen

Latency-insensitive design mitigates increasing interconnect delay and enables productive component reuse in complex digital systems. This design style has been adopted in high-level design flows because untimed functional blocks connected…

Logic in Computer Science · Computer Science 2021-02-19 Steve Dai , Alicia Klinefelter , Haoxing Ren , Rangharajan Venkatesan , Ben Keller , Nathaniel Pinckney , Brucek Khailany

Research software refers to software development tools that accelerate discovery and simplifies access to digital infrastructures. However, although research software platforms can be built increasingly more innovative and powerful than…

Software Engineering · Computer Science 2018-12-27 Doug Mulholland , Paulo Alencar , Donald Cowan

Deep neural networks (DNNs) have become one of the enabling technologies in many safety-critical applications, e.g., autonomous driving and medical image analysis. DNN systems, however, suffer from various kinds of threats, such as…

Machine Learning · Computer Science 2020-10-19 Yu Li , Min Li , Bo Luo , Ye Tian , Qiang Xu

Proof assistants enable users to develop machine-checked proofs regarding software-related properties. Unfortunately, the interactive nature of these proof assistants imposes most of the proof burden on the user, making formal verification…

Software Engineering · Computer Science 2024-05-08 Pedro Carrott , Nuno Saavedra , Kyle Thompson , Sorin Lerner , João F. Ferreira , Emily First

Today's programmers face a false choice between creating software that is extensible and software that is correct. Specifically, dynamic languages permit software that is richly extensible (via dynamic code loading, dynamic object…

Programming Languages · Computer Science 2016-08-23 Matthew A. Hammer , Bor-Yuh Evan Chang , David Van Horn

Large Language Models (LLMs) have demonstrated remarkable fluency and versatility across a wide range of NLP tasks, yet they remain prone to factual inaccuracies and hallucinations. This limitation poses significant risks in high-stakes…

Artificial Intelligence · Computer Science 2026-04-24 Vipula Rawte , Ryan Rossi , Franck Dernoncourt , Nedim Lipka

Numerical and symbolic methods for optimization are used extensively in engineering, industry, and finance. Various methods are used to reduce problems of interest to ones that are amenable to solution by such software. We develop a…

Logic in Computer Science · Computer Science 2023-02-23 Alexander Bentkamp , Ramon Fernández Mir , Jeremy Avigad

Deep neural networks (DNNs) are becoming a key component in diverse systems across the board. However, despite their success, they often err miserably; and this has triggered significant interest in formally verifying them. Unfortunately,…

Logic in Computer Science · Computer Science 2023-05-31 Raya Elsaleh , Guy Katz
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