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This work presents the first full implementation of Wave, a postquantum code-based signature scheme. We define Wavelet, a concrete Wave scheme at the 128-bit classical security level (or NIST postquantum security Level 1) equipped with a…

Cryptography and Security · Computer Science 2021-10-27 Gustavo Banegas , Thomas Debris-Alazard , Milena Nedeljković , Benjamin Smith

Formal verification of deep neural networks is increasingly required in safety-critical domains, yet exact reasoning over piecewise-linear (PWL) activations such as ReLU suffers from a combinatorial explosion of activation patterns. This…

Rings and Algebras · Mathematics 2026-01-01 Chandrasekhar Gokavarapu

We introduce a framework for the formal specification and verification of quantum circuits based on the Feynman path integral. Our formalism, built around exponential sums of polynomial functions, provides a structured and natural way of…

Quantum Physics · Physics 2019-01-30 Matthew Amy

To guarantee the normal functioning of quantum devices in different scenarios, appropriate benchmarking tool kits are quite significant. Inspired by the recent progress on quantum state verification, here we establish a general framework of…

Quantum Physics · Physics 2020-07-01 Pei Zeng , You Zhou , Zhenhuan Liu

This paper describes our work on demonstrating verification technologies on a flight-critical system of realistic functionality, size, and complexity. Our work targeted a commercial aircraft control system named Transport Class Model (TCM),…

Software Engineering · Computer Science 2015-02-10 Guillaume Brat , David Bushnell , Misty Davies , Dimitra Giannakopoulou , Falk Howar , Temesghen Kahsai

Formal verification entails testing software to ensure it operates as specified. Smart contracts are self-executing contracts with the terms of the agreement directly written into lines of code. They run on blockchain platforms and…

Software Engineering · Computer Science 2025-10-22 Rene Davila , Everardo Barcenas , Rocio Aldeco-Perez

The design of genetic networks with specific functions is one of the major goals of synthetic biology. However, constructing biological devices that work "as required" remains challenging, while the cost of uncovering flawed designs…

Systems and Control · Computer Science 2011-11-10 Boyan Yordanov , Calin Belta

Formal verification tools are often developed by experts for experts; as a result, their usability by programmers with little formal methods experience may be severely limited. In this paper, we discuss this general phenomenon with…

Software Engineering · Computer Science 2015-08-20 Carlo A. Furia , Christopher M. Poskitt , Julian Tschannen

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

Many business process models have control-flow errors, such as deadlocks, which can hinder proper execution. In this paper, we introduce our new soundness-checking tool that can instantaneously identify errors in BPMN models, make them…

Software Engineering · Computer Science 2024-07-09 Tim Kräuter , Patrick Stünkel , Adrian Rutle , Harald König , Yngve Lamo

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

On the one hand, ordered completion is a fundamental technique in equational theorem proving that is employed by automated tools. On the other hand, their complexity makes such tools inherently error prone. As a remedy to this situation we…

Logic in Computer Science · Computer Science 2018-05-28 Christian Sternagel , Sarah Winkler

Quantum simulators are engineered devices controllably designed to emulate complex and classically intractable quantum systems. A key challenge is to certify whether the simulator truly mimics the Hamiltonian of interest. This certification…

Quantum Physics · Physics 2020-06-12 Abolfazl Bayat , Benoit Voisin , Gilles Buchs , Joe Salfi , Sven Rogge , Sougato Bose

VeriFast is a leading tool for the modular formal verification of correctness properties of single-threaded and multi-threaded C and Rust programs. It verifies a program by symbolically executing each function in isolation, exploiting…

Programming Languages · Computer Science 2026-01-21 Bart Jacobs

Conventional tools for formal hardware/software co-verification use bounded model checking techniques to construct a single monolithic propositional formula. Formulas generated in this way are extremely complex and contain a great deal of…

Formal Languages and Automata Theory · Computer Science 2020-01-07 Rajdeep Mukherjee , Saurabh Joshi , John O'Leary , Daniel Kroening , Tom Melham

The intensive integration of power converters is changing the way that power systems operate, leading to the emergence of new types of dynamic phenomena and instabilities. At the same time, converters act as an interface between traditional…

The design of Systems on Chips (SoCs) is becoming more and more complex due to technological advancements. Missed bugs can cause drastic failures in safety-critical environments leading to the endangerment of lives. To overcome these…

Hardware Architecture · Computer Science 2024-10-25 Bryan Olmos , Daniel Gerl , Aman Kumar , Djones Lettnin

Recursive techniques have recently been introduced into quantum programming so that a variety of large quantum circuits and algorithms can be elegantly and economically programmed. In this paper, we present a proof system for formal…

Quantum Physics · Physics 2024-11-08 Mingsheng Ying , Zhicheng Zhang

Cyber-physical systems are found in many applications such as power networks, manufacturing processes, and air and ground transportation systems. Maintaining security of these systems under cyber attacks is an important and challenging…

Systems and Control · Computer Science 2016-06-13 Young Hwan Chang , Qie Hu , Claire J. Tomlin

We formally verify an algorithm for approximate policy iteration on Factored Markov Decision Processes using the interactive theorem prover Isabelle/HOL. Next, we show how the formalized algorithm can be refined to an executable, verified…

Artificial Intelligence · Computer Science 2024-06-12 Maximilian Schäffeler , Mohammad Abdulaziz