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Clausal proofs have become a popular approach to validate the results of SAT solvers. However, validating clausal proofs in the most widely supported format (DRAT) is expensive even in highly optimized implementations. We present a new…

Logic in Computer Science · Computer Science 2017-08-09 Luís Cruz-Filipe , Marijn Heule , Warren Hunt , Matt Kaufmann , Peter Schneider-Kamp

Program verification tools are often implemented as front-end translations of an input program into an intermediate verification language (IVL) such as Boogie, GIL, Viper, or Why3. The resulting IVL program is then verified using an…

Programming Languages · Computer Science 2024-12-23 Thibault Dardinier , Michael Sammler , Gaurav Parthasarathy , Alexander J. Summers , Peter Müller

How to apply automated verification technology such as model checking and static program analysis to millions of lines of embedded C/C++ code? How to package this technology in a way that it can be used by software developers and engineers,…

Software Engineering · Computer Science 2013-01-03 Ralf Huuck

We give a new theoretical solution to a leading-edge experimental challenge, namely to the verification of quantum computations in the regime of high computational complexity. Our results are given in the language of quantum interactive…

Quantum Physics · Physics 2018-06-25 Anne Broadbent

We investigate the formal semantics of a simple imperative language that has both classical and quantum constructs. More specifically, we provide an operational semantics, a denotational semantics and two Hoare-style proof systems: an…

Logic in Computer Science · Computer Science 2021-07-05 Yuxin Deng , Yuan Feng

Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal claim, which may…

Programming Languages · Computer Science 2022-05-17 Colin S. Gordon , Sergey Matskevich

Quantum algorithms often apply classical operations, such as arithmetic or predicate checks, over a quantum superposition of classical data; these so-called oracles are often the largest components of a quantum program. To ease the…

Quantum Physics · Physics 2022-04-21 Liyi Li , Finn Voichick , Kesha Hietala , Yuxiang Peng , Xiaodi Wu , Michael Hicks

High-quality and consistent annotations are fundamental to the successful development of robust machine learning models. Traditional data annotation methods are resource-intensive and inefficient, often leading to a reliance on third-party…

Computer Vision and Pattern Recognition · Computer Science 2024-02-12 Amir Ziai , Aneesh Vartakavi

We address the challenges of scaling verification efforts to match the increasing complexity and size of systems. We propose a research agenda aimed at building a performant proof engine by studying the asymptotic performance of proof…

Programming Languages · Computer Science 2024-08-16 Jason Gross , Andres Erbsen , Jade Philipoom , Rajashree Agrawal , Adam Chlipala

Cuv\'ee is a program verification tool that reads SMT-LIB-like input files where terms may additionally contain weakest precondition operators over abstract programs. Cuv\'ee translates such inputs into first-order SMT-LIB by symbolically…

Logic in Computer Science · Computer Science 2020-10-13 Gidon Ernst

In recent years, a number of lightweight programs have been deployed in critical domains, such as in smart contracts based on blockchain technology. Therefore, the security and reliability of such programs should be guaranteed by the most…

Programming Languages · Computer Science 2018-03-28 Zheng Yang , Hang Lei

Even with the increase of popularity of functional programming, imperative programming remains a key programming paradigm, especially for programs operating at lower levels of abstraction. When such software offers key components of a…

Programming Languages · Computer Science 2025-09-17 Frédéric Fort , David Nowak , Vlad Rusu

I present a new method for specifying and verifying the partial correctness of sequential programs. The key observation is that, in Hoare logic, assertions are used as selectors of states, that is, an assertion specifies the set of program…

Software Engineering · Computer Science 2022-01-20 Paul C Attie

A program verifier produces reliable results only if both the logic used to justify the program's correctness is sound, and the implementation of the program verifier is itself correct. Whereas it is common to formally prove soundness of…

Programming Languages · Computer Science 2021-06-01 Gaurav Parthasarathy , Peter Müller , Alexander J. Summers

We present a lightweight, open source Agda framework for manually verifying effectful programs using predicate transformer semantics. We represent the abstract syntax trees (AST) of effectful programs with a generalized algebraic datatype…

Software Engineering · Computer Science 2022-08-18 Christa Jenkins , Mark Moir , Harold Carr

Writing documentation about software internals is rarely considered a rewarding activity. It is highly time-consuming and the resulting documentation is fragile when the software is continuously evolving in a multi-developer setting.…

Software Engineering · Computer Science 2013-11-13 Tobias Kuhn , Alexandre Bergel

Program verification relies on loop invariants, yet automatically discovering strong invariants remains a long-standing challenge. We investigate whether large language models (LLMs) can accelerate program verification by generating useful…

Programming Languages · Computer Science 2026-04-03 Anjiang Wei , Tianran Sun , Tarun Suresh , Haoze Wu , Ke Wang , Alex Aiken

We give a process for verifying numerical programs against their functional specifications. Our implementation is capable of automatically verifying programs against tight error bounds featuring common elementary functions. We demonstrate…

Logic in Computer Science · Computer Science 2022-07-05 Junaid Rasheed , Michal Konečný

Verification problems of programs written in various paradigms (such as imperative, logic, concurrent, functional, and object-oriented ones) can be reduced to problems of solving Horn clause constraints on predicate variables that represent…

Programming Languages · Computer Science 2016-10-24 Hiroshi Unno , Sho Torii

Manual annotation of high-quality visual question answering with grounding (VQA-G) datasets, which pair visual questions with evidential grounding, is crucial for advancing vision-language models (VLMs), but remains unscalable. Existing…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Rongsheng Hu , Runwei Guan , Yicheng Di , Jiayu Bao , Yuan Liu
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