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Solving real-time quadratic programming (QP) is a ubiquitous task in control engineering, such as in model predictive control and control barrier function-based QP. In such real-time scenarios, certifying that the employed QP algorithm can…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Liang Wu , Wei Xiao , Richard D. Braatz

High confidence in floating-point programs requires proving numerical properties of final and intermediate values. One may need to guarantee that a value stays within some range, or that the error relative to some ideal value is well…

Numerical Analysis · Computer Science 2008-01-04 Florent De Dinechin , Christoph Quirin Lauter , Guillaume Melquiond

VeriFast is a prototype tool based on separation logic for modular verification of C and Java programs. We are in the process of adding support for C++. In this report, we describe the features of C++ for which we added support so far, as…

Logic in Computer Science · Computer Science 2022-12-29 Niels Mommen , Bart Jacobs

Static verification provides strong correctness guarantees for code; however, fully specifying programs for static verification is a complex, burdensome process for users. Gradual verification was introduced to make this process easier by…

Programming Languages · Computer Science 2025-07-21 Priyam Gupta

Program logics are a powerful formal method in the context of program verification. Can we develop a counterpart of program logics in the context of language verification? This paper proposes language logics, which allow for statements of…

Programming Languages · Computer Science 2024-08-06 Matteo Cimini

Quantum computers are on the brink of surpassing the capabilities of even the most powerful classical computers. This naturally raises the question of how one can trust the results of a quantum computer when they cannot be compared to…

This paper describes a formal proof library, developed using the Coq proof assistant, designed to assist users in writing correct diagrammatic proofs, for 1-categories. This library proposes a deep-embedded, domain-specific formal language,…

Logic in Computer Science · Computer Science 2024-03-01 Benoît Guillemet , Assia Mahboubi , Matthieu Piquerez

Automatic verification deals with the validation by means of computers of correctness certificates. The related tools, usually called proof assistants or interactive provers, provide an interactive environment for the creation of formal…

Logic in Computer Science · Computer Science 2017-01-16 Andrea Asperti

Roundoff errors cannot be avoided when implementing numerical programs with finite precision. The ability to reason about rounding is especially important if one wants to explore a range of potential representations, for instance for FPGAs…

Numerical Analysis · Computer Science 2016-11-28 Victor Magron , George Constantinides , Alastair Donaldson

Recent developments in Large Language Models (LLMs) have shown promise in automating code generation, yet the generated programs lack rigorous correctness guarantees. Formal verification can address this shortcoming, but requires expertise…

Formal Languages and Automata Theory · Computer Science 2025-08-27 Niclas Hertzberg , Merlijn Sevenhuijsen , Liv Kåreborn , Anna Lokrantz

We present a method for verifying partial correctness properties of imperative programs that manipulate integers and arrays by using techniques based on the transformation of constraint logic programs (CLP). We use CLP as a metalanguage for…

Programming Languages · Computer Science 2013-09-23 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

Undefined behavior in C often causes devastating security vulnerabilities. One practical mitigation is compartmentalization, which allows developers to structure large programs into mutually distrustful compartments with clearly specified…

Verifying multi-threaded programs is becoming more and more important, because of the strong trend to increase the number of processing units per CPU socket. We introduce a new configurable program analysis for verifying multi-threaded…

Logic in Computer Science · Computer Science 2016-12-23 Dirk Beyer , Karlheinz Friedberger

In deductive verification and software model checking, dealing with certain specification language constructs can be problematic when the back-end solver is not sufficiently powerful or lacks the required theories. One way to deal with this…

Software Engineering · Computer Science 2023-06-02 Jesper Amilon , Zafer Esen , Dilian Gurov , Christian Lidström , Philipp Rümmer

A verification method for distributed systems based on decoupling forward and backward behaviour is proposed. This method uses an event structure based algorithm that, given a CCS process, constructs its causal compression relative to a…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Jean Krivine

Current static verification techniques support a wide range of programs. However, such techniques only support complete and detailed specifications, which places an undue burden on users. To solve this problem, prior work proposed gradual…

Static analyzers based on abstract interpretation are complex pieces of software implementing delicate algorithms. Even if static analysis techniques are well understood, their implementation on real languages is still error-prone. This…

Programming Languages · Computer Science 2013-05-02 Sandrine Blazy , Vincent Laporte , André Maroneze , David Pichardie

Generating code from natural-language requirements has become a primary route for LLM-assisted software development. Although LLMs can successfully complete small programming tasks, generating an entire complex project remains unreliable…

Software Engineering · Computer Science 2026-05-26 Jian Fang , Yingfei Xiong

In this report we describe a tool framework for certifying properties of PLCs: CERTPLC. CERTPLC can handle PLC descriptions provided in the Sequential Function Chart (SFC) language of the IEC 61131-3 standard. It provides routines to…

Software Engineering · Computer Science 2015-03-19 Jan Olaf Blech

We present CertiQ, a verification framework for writing and verifying compiler passes of Qiskit, the most widely-used quantum compiler. To our knowledge, CertiQ is the first effort enabling the verification of real-world quantum compiler…