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Proof assistants are getting more widespread use in research and industry to provide certified and independently checkable guarantees about theories, designs, systems and implementations. However, proof assistant implementations themselves…

Programming Languages · Computer Science 2021-07-19 Matthieu Sozeau

Compilers are a prime target for formal verification, since compiler bugs invalidate higher-level correctness guarantees, but compiler changes may become more labor-intensive to implement, if they must come with proof patches. One appealing…

Programming Languages · Computer Science 2025-03-12 Jason Gross , Andres Erbsen , Jade Philipoom , Rajashree Agrawal , Adam Chlipala

Given a time series vector, how can we efficiently compute a specified part of Fourier coefficients? Fast Fourier transform (FFT) is a widely used algorithm that computes the discrete Fourier transform in many machine learning applications.…

Machine Learning · Computer Science 2020-08-31 Yong-chan Park , Jun-Gi Jang , U Kang

Conduction transfer functions (CTF) are commonly used in the building services to quickly estimate hourly conduction heat loads through multilayered walls without resorting to expensive, time-consuming solutions of the heat equation. It is…

Computational Engineering, Finance, and Science · Computer Science 2021-10-26 Khodr Jaber

Time complexity is a theoretic measure to determine the amount of time the algorithm needs for its execution. In reality, developers write algorithms into code snippets within limited resources, making the calculation of a code's time…

Software Engineering · Computer Science 2025-03-24 Joonghyuk Hahn , Hyeseon Ahn , Jungin Kim , Soohan Lim , Yo-Sub Han

Timing side-channel attacks exploit variations in program execution time to recover sensitive information. Cryptographic implementations are especially vulnerable to these attacks, since even small timing differences in operations such as…

Cryptography and Security · Computer Science 2026-04-21 Nges Brian Njungle , Edwin P. Kayang , Mishel J. Paul , Michel A. Kinsy

This paper presents a proof system for reasoning about execution time bounds for a core imperative programming language. Proof systems are defined for three different scenarios: approximations of the worst-case execution time, exact time…

Programming Languages · Computer Science 2022-10-28 Ana Carolina Silva , Manuel Barbosa , Mario Florido

Trotterization-based, iterative approaches to quantum simulation are restricted to simulation times less than the coherence time of the quantum computer, which limits their utility in the near term. Here, we present a hybrid…

Floating point operations are fast, but require continuous effort on the part of the user in order to ensure that the results are correct. This burden can be shifted away from the user by providing a library of exact analysis in which the…

Logic in Computer Science · Computer Science 2011-12-20 Robbert Krebbers , Bas Spitters

Timing side-channel attacks exploit secret-dependent execution time to fully or partially recover secrets of cryptographic implementations, posing a severe threat to software security. Constant-time programming discipline is an effective…

Cryptography and Security · Computer Science 2024-02-22 Luwei Cai , Fu Song , Taolue Chen

The First Passage Time (FPT) is the time taken for a stochastic process to reach a desired threshold. In this letter we address the FPT of the stochastic measurement current in the case of continuously measured quantum systems. Our approach…

Quantum Physics · Physics 2024-08-08 Michael J. Kewming , Anthony Kiely , Steve Campbell , Gabriel T. Landi

It is well known in the Constraint Programming community that any non-binary constraint satisfaction problem (with finite domains) can be transformed into an equivalent binary one. One of the most well-known translations is the Hidden…

Programming Languages · Computer Science 2020-09-02 Catherine Dubois

We propose a verified approach to the formal verification of timed properties using model-checking techniques. We focus on properties expressed using real-time specification patterns, which can be viewed as a subset of timed temporal logics…

Logic in Computer Science · Computer Science 2013-02-01 Nouha Abid , Silvano Dal Zilio , Didier Le Botlan

sktime is an open source, Python based, sklearn compatible toolkit for time series analysis developed by researchers at the University of East Anglia (UEA), University College London and the Alan Turing Institute. A key initial goal for…

Machine Learning · Computer Science 2019-10-08 Anthony Bagnall , Franz Király , Markus Löning , Matthew Middlehurst , George Oastler

Interval computation is widely used to certify computations that use floating point operations to avoid pitfalls related to rounding error introduced by inaccurate operations. Despite its popularity and practical benefits, support for…

Mathematical Software · Computer Science 2023-05-29 Xuan Tang , Zachary Ferguson , Teseo Schneider , Denis Zorin , Shoaib Kamil , Daniele Panozzo

A Verifiable Delay Function (VDF) is a function that takes a specified sequential time to be evaluated, but can be efficiently verified. VDFs are useful in several applications ranging from randomness beacons to sustainable blockchains but…

Cryptography and Security · Computer Science 2023-12-27 Souvik Sur

We give a new theoretical solution to a leading-edge experimental challenge, namely to the verification of quantum computations in the regime of high computational complexity. Our results are given in the language of quantum interactive…

Quantum Physics · Physics 2018-06-25 Anne Broadbent

We report on the development of an optimized and verified decision procedure for orthologic equalities and inequalities. This decision procedure is quadratic-time and is used as a sound, efficient and predictable approximation to classical…

Logic in Computer Science · Computer Science 2025-02-05 Simon Guilloud , Clément Pit-Claudel

Expressive static typing disciplines are a powerful way to achieve high-quality software. However, the adoption cost of such techniques should not be under-estimated. Just like gradual typing allows for a smooth transition from…

Programming Languages · Computer Science 2015-08-25 Éric Tanter , Nicolas Tabareau

The quantum Fourier transform (QFT) is a key primitive for quantum computing that is typically used as a subroutine within a larger computation, for instance for phase estimation. As such, we may have little control over the state that is…

Quantum Physics · Physics 2022-12-14 Noah Linden , Ronald de Wolf