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When considering a sequent-style proof system for quantum programs, there are certain elements of quantum mechanics that we may wish to capture, such as phase, dynamics of unitary transformations, and measurement probabilities. Traditional…

Logic in Computer Science · Computer Science 2016-06-23 Cameron Beebe

As machine learning algorithms are increasingly applied to high impact yet high risk tasks, such as medical diagnosis or autonomous driving, it is critical that researchers can explain how such algorithms arrived at their predictions. In…

Computer Vision and Pattern Recognition · Computer Science 2021-12-06 Ruth Fong , Andrea Vedaldi

Recent advances in machine learning have led to increased deployment of black-box classifiers across a wide variety of applications. In many such situations there is a critical need to both reliably assess the performance of these…

Machine Learning · Statistics 2021-03-16 Disi Ji , Robert L. Logan , Padhraic Smyth , Mark Steyvers

We describe a type system for the linear-algebraic $\lambda$-calculus. The type system accounts for the linear-algebraic aspects of this extension of $\lambda$-calculus: it is able to statically describe the linear combinations of terms…

Logic in Computer Science · Computer Science 2017-05-12 Pablo Arrighi , Alejandro Díaz-Caro , Benoît Valiron

Be it for a malicious or legitimate purpose, packing, a transformation that consists in applying various operations like compression or encryption to a binary file, i.e. for making reverse engineering harder or obfuscating code, is widely…

Cryptography and Security · Computer Science 2023-02-21 Alexandre D'Hondt , Charles-Henry Bertrand Van Ouytsel , Axel Legay

This tutorial introduces quantum computing with a focus on the applicability of formal methods in this relatively new domain. We describe quantum circuits and convey an understanding of their inherent combinatorial nature and the…

Quantum Physics · Physics 2024-07-17 Arend-Jan Quist , Jingyi Mei , Tim Coopmans , Alfons Laarman

Inclusion analysis is the name given by Operis to a black box testing technique that it has found to make the checking of key financial ratios calculated by spreadsheet models quicker, easier and more likely to find omission errors than…

Software Engineering · Computer Science 2024-12-31 David Colver

There is a lack of formalism for some key foundational concepts in systems engineering. One of the most recently acknowledged deficits is the inadequacy of systems engineering practices for engineering intelligent systems. In our previous…

Artificial Intelligence · Computer Science 2024-09-21 Niloofar Shadab , Tyler Cody , Alejandro Salado , Peter Beling

Type systems designed for information-flow control commonly use a program-counter label to track the sensitivity of the context and rule out data leakage arising from effectful computation in a sensitive context. Currently, type-system…

Programming Languages · Computer Science 2021-01-14 Andrew K. Hirsch , Ethan Cecchetti

The complexity of large-scale distributed systems, particularly when deployed in physical space, calls for new mechanisms to address composability and reusability of collective adaptive behaviour. Computational fields have been proposed as…

Logic in Computer Science · Computer Science 2019-01-15 Mirko Viroli , Giorgio Audrito , Ferruccio Damiani , Danilo Pianini , Jacob Beal

Search-based testing is widely used to find bugs in models of complex Cyber-Physical Systems. Latest research efforts have improved this approach by casting it as a falsification procedure of formally specified temporal properties,…

Logic in Computer Science · Computer Science 2017-10-03 Simone Silvetti , Alberto Policriti , Luca Bortolussi

Is it possible to convert classical cryptographic reductions into post-quantum ones? It is customary to argue that while this is problematic in the interactive setting, non-interactive reductions do carry over. However, when considering…

Quantum Physics · Physics 2022-03-07 Nir Bitansky , Zvika Brakerski , Yael Tauman Kalai

Most popular word embedding techniques involve implicit or explicit factorization of a word co-occurrence based matrix into low rank factors. In this paper, we aim to generalize this trend by using numerical methods to factor higher-order…

Machine Learning · Statistics 2017-09-19 Eric Bailey , Shuchin Aeron

We consider two important aspects in understanding and editing images: modeling regular, program-like texture or patterns in 2D planes, and 3D posing of these planes in the scene. Unlike prior work on image-based program synthesis, which…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Yikai Li , Jiayuan Mao , Xiuming Zhang , William T. Freeman , Joshua B. Tenenbaum , Noah Snavely , Jiajun Wu

Interested in formalizing the generation of fast running code for linear algebra applications, the authors show how an index-free, calculational approach to matrix algebra can be developed by regarding matrices as morphisms of a category…

Software Engineering · Computer Science 2013-12-18 Hugo Daniel Macedo , José N. Oliveira

This paper concerns the explicit treatment of substitutions in the lambda calculus. One of its contributions is the simplification and rationalization of the suspension calculus that embodies such a treatment. The earlier version of this…

Logic in Computer Science · Computer Science 2007-05-23 Andrew Gacek , Gopalan Nadathur

Type analyses of logic programs which aim at inferring the types of the program being analyzed are presented in a unified abstract interpretation-based framework. This covers most classical abstract interpretation-based type analyzers for…

Software Engineering · Computer Science 2009-09-29 Claudio Vaucheret , Francisco Bueno

Quantum computing technology may soon deliver revolutionary improvements in algorithmic performance, but these are only useful if computed answers are correct. While hardware-level decoherence errors have garnered significant attention, a…

Programming Languages · Computer Science 2022-04-15 Yuxiang Peng , Kesha Hietala , Runzhou Tao , Liyi Li , Robert Rand , Michael Hicks , Xiaodi Wu

The aim of quantum system identification is to estimate the ingredients inside a black box, in which some quantum-mechanical unitary process takes place, by just looking at its input-output behavior. Here we establish a basic and general…

Quantum Physics · Physics 2012-02-27 Daniel Burgarth , Kazuya Yuasa

The analysis of decision making under uncertainty is closely related to the analysis of probabilistic inference. Indeed, much of the research into efficient methods for probabilistic inference in expert systems has been motivated by the…

Artificial Intelligence · Computer Science 2013-03-25 Ross D. Shachter , Mark Alan Peot