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Related papers: Program Verification of Numerical Computation

200 papers

Verification of numerical accuracy properties in modern software remains an important and challenging task. This paper describes an original framework combining different solutions for numerical accuracy. First, we extend an existing…

Software Engineering · Computer Science 2019-11-26 Maxime Jacquemin , Fonenantsoa Maurica , Nikolai Kosmatov , Julien Signoles , Franck Védrine

We establish fundamental and general techniques for formal verification of quantum protocols. Quantum protocols are novel communication schemes involving the use of quantum-mechanical phenomena for representation, storage and transmission…

Quantum Physics · Physics 2007-05-23 Simon Gay , Rajagopal Nagarajan , Nikolaos Papanikolaou

These are notes for the course CS-172 I first taught in the Fall 1986 at UC Berkeley and subsequently at Boston University. The goal was to introduce the undergraduates to basic concepts of Theory of Computation and to provoke their…

Computational Complexity · Computer Science 2020-09-30 Leonid A. Levin

Model checking temporal properties of software is algorithmically hard. To be practically feasible, it usually requires the creation of simpler, abstract models of the software, over which the properties are checked. However, creating…

Formal Languages and Automata Theory · Computer Science 2025-03-17 Jesper Amilon , Dilian Gurov

Formal verification of software is a bit of a niche activity: it is only applied to the most safety-critical or security-critical software and it is typically only performed by specialized verification engineers. This paper considers…

Logic in Computer Science · Computer Science 2020-11-02 Alastair Reid , Luke Church , Shaked Flur , Sarah de Haas , Maritza Johnson , Ben Laurie

High Performance Distributed Computing is essential to boost scientific progress in many areas of science and to efficiently deploy a number of complex scientific applications. These applications have different characteristics that require…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-04 Mariza Ferro , Antonio R. Mury , Laion F. Manfroi , Bruno Schlze

The interplay between process behaviour and spatial aspects of computation has become more and more relevant in Computer Science, especially in the field of collective adaptive systems, but also, more generally, when dealing with systems…

Logic in Computer Science · Computer Science 2014-06-27 Vincenzo Ciancia , Diego Latella , Michele Loreti , Mieke Massink

Almost from the inception of Hilbert's program, foundational and structural efforts in proof theory have been directed towards the goal of clarifying the computational content of modern mathematical methods. This essay surveys various…

Logic · Mathematics 2010-06-17 Jeremy Avigad

Machine-specific optimizations command the machine to behave in a specific way. As current programming models largely leave machine details unexposed, they cannot accommodate direct encoding of such commands. In previous work we have…

Programming Languages · Computer Science 2018-03-30 Benjamin Andreassen Bjørnseth , Jan Christian Meyer , Lasse Natvig

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

The quality and correct functioning of software components embedded in electronic systems are of utmost concern especially for safety and mission-critical systems. Model-based testing and formal verification techniques can be employed to…

Formal Languages and Automata Theory · Computer Science 2019-01-08 Shahbaz Ali , Hailong Sun , Yongwang Zhao

Despite multiprocessors implementing weak memory models, verification methods often assume Sequential Consistency (SC), thus may miss bugs due to weak memory. We propose a sound transformation of the program to verify, enabling SC tools to…

Logic in Computer Science · Computer Science 2012-08-01 Jade Alglave , Daniel Kroening , Vincent Nimal , Michael Tautschnig

Testing is one of the most indispensable tasks in software engineering. The role of testing in software development has grown significantly because testing is able to reveal defects in the code in an early stage of development. Many unit…

Software Engineering · Computer Science 2010-12-07 Norbert Pataki

In the last three decades, memory safety issues in system programming languages such as C or C++ have been one of the significant sources of security vulnerabilities. However, there exist only a few attempts with limited success to cope…

Software Engineering · Computer Science 2021-07-05 Felipe R. Monteiro , Mikhail R. Gadelha , Lucas C. Cordeiro

The paper proposes a control-theoretic framework for verification of numerical software systems, and puts forward software verification as an important application of control and systems theory. The idea is to transfer Lyapunov functions…

Systems and Control · Computer Science 2011-08-02 Mardavij Roozbehani , Alexandre Megretski , Eric Feron

Several philosophical issues in connection with computer simulations rely on the assumption that results of simulations are trustworthy. Examples of these include the debate on the experimental role of computer simulations \cite{Parker2009,…

Other Computer Science · Computer Science 2019-04-03 Juan M. Durán , Nico Formanek

Verification of quantum computation is a task to efficiently check whether an output given from a quantum computer is correct. Existing verification protocols conducted between a quantum computer to be verified and a verifier necessitate…

Quantum Physics · Physics 2024-04-01 Yuki Takeuchi , Akihiro Mizutani

We study induction on the program structure as a proof method for bisimulation-based compiler correctness. We consider a first-order language with mutually recursive function definitions, system calls, and an environment semantics. The…

Programming Languages · Computer Science 2016-11-30 Sigurd Schneider , Gert Smolka , Sebastian Hack

GP 2 is a non-deterministic programming language for computing by graph transformation. One of the design goals for GP 2 is syntactic and semantic simplicity, to facilitate formal reasoning about programs. In this paper, we demonstrate with…

Programming Languages · Computer Science 2016-09-14 Detlef Plump

Code metrics are easy to define, but not so easy to justify. It is hard to prove that a metric is valid, i.e., that measured numerical values imply anything on the vaguely defined, yet crucial software properties such as complexity and…

Software Engineering · Computer Science 2012-01-17 Joseph Gil , Maayan Goldstein , Dany Moshkovich