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Many automatic theorem-provers rely on rewriting. Using theorems as rewrite rules helps to simplify the subgoals that arise during a proof. LCF is an interactive theorem-prover intended for reasoning about computation. Its implementation of…

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

This notes explains how a standard algorithm that constructs the discrete Fourier transform has been formalised and proved correct in the Coq proof assistant using the SSReflect extension.

Logic in Computer Science · Computer Science 2025-08-15 Laurent Théry

We explore the possibility of accelerating the formal verification of classical programs with a quantum computer. A common source of security flaws stems from the existence of common programming errors like use after free, null-pointer…

Quantum Physics · Physics 2026-05-06 Sebastian Issel , Kilian Tscharke , Pascal Debus

Ensuring the correct functionality of systems software, given its safety-critical and low-level nature, is a primary focus in formal verification research and applications. Despite advances in verification tooling, conventional programmers…

Programming Languages · Computer Science 2025-04-04 Yiyuan Cao , Jiayi Zhuang , Houjin Chen , Jinkai Fan , Wenbo Xu , Zhiyi Wang , Di Wang , Qinxiang Cao , Yingfei Xiong , Haiyan Zhao , Zhenjiang Hu

Finding bugs is key to the correctness of compilers in wide use today. If the behaviour of a compiled program, as allowed by its architecture memory model, is not a behaviour of the source program under its source model, then there is a…

Programming Languages · Computer Science 2024-01-31 Luke Geeson , Lee Smith

A recent case study from AWS by Chong et al. proposes an effective methodology for Bounded Model Checking in industry. In this paper, we report on a follow up case study that explores the methodology from the perspective of three research…

Software Engineering · Computer Science 2021-07-05 Siddharth Priya , Xiang Zhou , Yusen Su , Yakir Vizel , Yuyan Bao , Arie Gurfinkel

We have developed an alternative approach to teaching computer science students how to prove. First, students are taught how to prove theorems with the Coq proof assistant. In a second, more difficult, step students will transfer their…

Logic in Computer Science · Computer Science 2018-03-06 Sebastian Böhne , Christoph Kreitz

Efficient quantum compiling tactics greatly enhance the capability of quantum computers to execute complicated quantum algorithms. Due to its fundamental importance, a plethora of quantum compilers has been designed in past years. However,…

Quantum Physics · Physics 2022-04-15 Qiuhao Chen , Yuxuan Du , Qi Zhao , Yuling Jiao , Xiliang Lu , Xingyao Wu

We present the design, implementation, and foundation of a verifier for higher-order functional programs with generics and recursive data types. Our system supports proving safety and termination using preconditions, postconditions and…

Logic in Computer Science · Computer Science 2020-03-25 Jad Hamza , Nicolas Voirol , Viktor Kunčak

In his 1984 Turing Award lecture, Ken Thompson showed that a compiler could be maliciously altered to insert backdoors into programs it compiles and perpetuate this behavior by modifying any compiler it subsequently builds. Thompson's hack…

Programming Languages · Computer Science 2025-08-19 Guilherme de Oliveira Silva , Fernando Magno Quintão Pereira

Quantum computers promise to efficiently solve not only problems believed to be intractable for classical computers, but also problems for which verifying the solution is also considered intractable. This raises the question of how one can…

Quantum Physics · Physics 2018-07-10 Alexandru Gheorghiu , Theodoros Kapourniotis , Elham Kashefi

Formal verification is a promising method for producing reliable software, but the difficulty of manually writing verification proofs severely limits its utility in practice. Recent methods have automated some proof synthesis by guiding a…

Software Engineering · Computer Science 2024-12-18 Alex Sanchez-Stern , Abhishek Varghese , Zhanna Kaufman , Dylan Zhang , Talia Ringer , Yuriy Brun

We develop a simple compiler that generically adds publicly-verifiable deletion to a variety of cryptosystems. Our compiler only makes use of one-way functions (or one-way state generators, if we allow the public verification key to be…

Quantum Physics · Physics 2023-10-11 James Bartusek , Dakshita Khurana , Giulio Malavolta , Alexander Poremba , Michael Walter

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

One of the main issues in proof certification is that different theorem provers, even when designed for the same logic, tend to use different proof formalisms and produce outputs in different formats. The project ProofCert promotes the…

Logic in Computer Science · Computer Science 2019-10-09 Tomer Libal , Marco Volpe

We present an executable, proven-safe, faithful, and future-proof Coq mechanization of JavaScript regular expression (regex) matching, as specified by the latest published edition of ECMA-262 section 22.2. This is, to our knowledge, the…

Programming Languages · Computer Science 2024-07-29 Noé De Santo , Aurèle Barrière , Clément Pit-Claudel

Current approaches for formal verification of algorithms face important limitations. For specification, they cannot express algorithms naturally and concisely, especially for algorithms with states and flexible control flow. For…

Programming Languages · Computer Science 2025-05-01 Chengxi Yang , Shushu Wu , Qinxiang Cao

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

Compiler correctness proofs for higher-order concurrent languages are difficult: they involve establishing a termination-preserving refinement between a concurrent high-level source language and an implementation that uses low-level shared…

Programming Languages · Computer Science 2017-01-23 Joseph Tassarotti , Ralf Jung , Robert Harper

Highly automated theorem provers like Dafny allow users to prove simple properties with little effort, making it easy to quickly sketch proofs. The drawback is that such provers leave users with little control about the proof search,…

Programming Languages · Computer Science 2024-01-30 Son Ho , Clément Pit-Claudel
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