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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

The syntax of an imperative language does not mention explicitly the state, while its denotational semantics has to mention it. In this paper we present a framework for the verification in Coq of properties of programs manipulating the…

Logic in Computer Science · Computer Science 2013-10-15 Jean-Guillaume Dumas , Dominique Duval , Burak Ekici , Damien Pous

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

This document contains a guide on how to use the Qudit Cirq library, an extension of Google's Cirq library for qudits. While Cirq provides necessary building blocks for quantum computation on qudits, the gates, curcuits and simulation of…

Quantum Physics · Physics 2025-01-17 Svyatoslav Kushnarev , Hassan Jameel Asghar

This report describes three particular technological advances in formal proofs. The HOL Light proof assistant will be used to illustrate the design of a highly reliable system. Today, proof assistants can verify large bodies of advanced…

Logic in Computer Science · Computer Science 2014-08-28 Thomas C. Hales

We introduce ProjectQ, an open source software effort for quantum computing. The first release features a compiler framework capable of targeting various types of hardware, a high-performance simulator with emulation capabilities, and…

Quantum Physics · Physics 2018-02-01 Damian S. Steiger , Thomas Häner , Matthias Troyer

Formally reasoning about functional programs is supposed to be straightforward and elegant, however, it is not typically done as a matter of course. Reasoning in a proof assistant requires "reimplementing" the code in those tools, which is…

Logic in Computer Science · Computer Science 2021-07-19 Laila El-Beheiry , Giselle Reis , Ammar Karkour

We introduce a formal framework for analyzing trades in financial markets. An exchange is where multiple buyers and sellers participate to trade. These days, all big exchanges use computer algorithms that implement double sided auctions to…

Logic in Computer Science · Computer Science 2019-07-19 Suneel Sarswat , Abhishek Kr Singh

Quantum computing is getting increasing interest from both academia and industry, and the quantum software landscape has been growing rapidly. The quantum software stack comprises quantum programs, implementing algorithms, and platforms…

Software Engineering · Computer Science 2024-10-02 Matteo Paltenghi , Michael Pradel

Although a standard in natural science, reproducibility has been only episodically applied in experimental computer science. Scientific papers often present a large number of tables, plots and pictures that summarize the obtained results,…

Digital Libraries · Computer Science 2017-09-06 Fernando Chirigati , Rebecca Capone , Dennis Shasha , Remi Rampin , Juliana Freire

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 2023-08-31 Stefan Wils , Bart Jacobs

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

The reproduction and replication of research results has become a major issue for a number of scientific disciplines. In computer science and related computational disciplines such as systems biology, the challenges closely revolve around…

Software Engineering · Computer Science 2017-07-31 Tom Crick , Benjamin A. Hall , Samin Ishtiaq

Over the past 27 years, quantum computing has seen a huge rise in interest from both academia and industry. At the current rate, quantum computers are growing in size rapidly backed up by the increase of research in the field. Significant…

Logic in Computer Science · Computer Science 2024-02-15 Marco Lewis , Sadegh Soudjani , Paolo Zuliani

This paper proposes a software repository model together with associated tooling and consists of several complex, open-source GUI driven applications ready to be used in empirical software research. We start by providing the rationale for…

Software Engineering · Computer Science 2017-02-28 Arthur-Jozsef Molnar

Reproducibility and comparability of empirical results are at the core tenet of the scientific method in any scientific field. To ease reproducibility of empirical studies, several benchmarks in software engineering research, such as…

Software Engineering · Computer Science 2021-04-01 José Campos , André Souto

The general-purpose interactive theorem-proving assistant called Prove-It was used to verify the Quantum Phase Estimation (QPE) algorithm, specifically claims about its outcome probabilities. Prove-It is unique in its ability to express…

Quantum Physics · Physics 2024-03-26 Wayne M. Witzel , Warren D. Craft , Robert Carr , Deepak Kapur

Creating safe concurrent algorithms is challenging and error-prone. For this reason, a formal verification framework is necessary especially when those concurrent algorithms are used in safety-critical systems. The goal of this guide is to…

Logic in Computer Science · Computer Science 2025-01-24 Elizabeth Dietrich

Formal verification of complex algorithms is challenging. Verifying their implementations goes beyond the state of the art of current automatic verification tools and usually involves intricate mathematical theorems. Certifying algorithms…

Logic in Computer Science · Computer Science 2013-02-01 Eyad Alkassar , Sascha Böhme , Kurt Mehlhorn , Christine Rizkallah

The importance of category theory in recent developments in both mathematics and in computer science cannot be overstated. However, its abstract nature makes it difficult to understand at first. Graphical languages have been developed to…

Logic in Computer Science · Computer Science 2025-05-21 Luc Chabassier
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