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Computability logic is a formal theory of computational tasks and resources. Its formulas represent interactive computational problems, logical operators stand for operations on computational problems, and validity of a formula is…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

Computation holds great potential for introducing new opportunities for creativity and exploration into the physics curriculum. At the University of Oslo we have begun development of a new class of assignment called computational essays to…

Physics Education · Physics 2022-06-29 Tor Ole B. Odden , Marcos D. Caballero

Computational Logic is the use of computers to establish facts in a logical formalism. Originating in 19th-century attempts to understand the nature of mathematical reasoning, the subject now comprises a wide variety of formalisms,…

Logic in Computer Science · Computer Science 2018-11-14 Lawrence C Paulson

Many undergraduate students of engineering and the exact sciences have difficulty with their mathematics courses due to insufficient proficiency in what we in this paper have termed clear thinking. We believe that this lack of proficiency…

History and Overview · Mathematics 2017-09-06 Arieh Lev , Gil Kaplan

The classical simulation of physical processes using standard models of computation is fraught with problems. On the other hand, attempts at modelling real-world computation with the aim of isolating its hypercomputational content have…

Logic · Mathematics 2009-04-21 S. Barry Cooper

This paper introduces abstractions that are meaningful for computers and that can be built and used according to computers' own criteria, i.e., computable abstractions. It is analyzed how abstractions can be seen to serve as the building…

Artificial Intelligence · Computer Science 2015-03-31 Alejandro Sanchez Guinea

In today's education systems, there is a deep concern about the importance of teaching code and computer programming in schools. Moving digital learning from a simple use of tools to understanding the processes of the internal functioning…

Computers and Society · Computer Science 2017-05-25 Mokhtar Ben Henda

Quantum computing promises to help humanity solve problems that would otherwise be intractable on classical computers. Unlike today's machines, quantum computers use a novel computing process that leverages the foundational quantum…

Physics and Society · Physics 2024-03-06 Matthias Troyer , Emily Violi Benjamin , Ani Gevorkian

An introductory formal languages course exposes advanced undergraduate and early graduate students to automata theory, grammars, constructive proofs, computability, and decidability. Programming students find these topics to be challenging…

Formal Languages and Automata Theory · Computer Science 2014-12-17 Marco T. Morazán , Rosario Antunez

Cognitive computing (COC) aims to embed human cognition into computerized models. However, there is no scientific classification that delineates the nature of Cognitive Computing. Unlike the medical and computer science fields, Information…

Human-Computer Interaction · Computer Science 2022-01-19 Samaa Elnagar , Manoj Thomas

Quantum computing is a good way to justify difficult physics experiments. But until quantum computers are built, do computer scientists need to know anything about quantum information? In fact, quantum computing is not merely a recipe for…

Quantum Physics · Physics 2015-01-05 Aram W. Harrow

I am most honoured to have the privilege to present the Foreword to this fascinating and wonderfully varied collection of contributions, concerning the nature of computation and of its deep connection with the operation of those basic laws,…

General Literature · Computer Science 2012-05-29 Roger Penrose

Despite ongoing calls for inclusive and culturally responsive pedagogy in computing education, the teaching of algorithms remains largely decontextualized. Foundational computer science courses often present algorithmic thinking as purely…

Computers and Society · Computer Science 2025-12-04 Aalok Thakkar

Building machines that learn and think like humans is essential not only for cognitive science, but also for computational neuroscience, whose ultimate goal is to understand how cognition is implemented in biological brains. A new cognitive…

Artificial Intelligence · Computer Science 2017-11-15 Nikolaus Kriegeskorte , Robert M. Mok

Scientists have demonstrated that quantum computing has presented novel approaches to address computational challenges, each varying in complexity. Adapting problem-solving strategies is crucial to harness the full potential of quantum…

Computational Complexity · Computer Science 2024-09-13 Arash Vaezi , Ali Movaghar , Mohammad Ghodsi , Seyed Mohammad Hussein Kazemi , Negin Bagheri Noghrehy , Seyed Mohsen Kazemi

Quantum computing was once regarded as a mere theoretical possibility, but recent advances in engineering and materials science have brought practical quantum computers closer to reality. Currently, representatives from industry, academia,…

Physics Education · Physics 2022-04-19 Joel A. Walsh , Mic Fenech , Derrick L. Tucker , Catherine Riegle-Crumb , Brian R. La Cour

Compositionality is a key property for dealing with complexity, which has been studied from many points of view in diverse fields. Particularly, the composition of individual computations (or programs) has been widely studied almost since…

Logic in Computer Science · Computer Science 2022-06-06 Damian Arellanes

Two transformative waves of computing have redefined the way we approach science. The first wave came with the birth of the digital computer, which enabled scientists to numerically simulate their models and analyze massive datasets. This…

Computational Complexity · Computer Science 2023-11-01 Chi-Ning Chou

The unprecedented growth in the availability of data of all types and qualities and the emergence of the field of data science has provided an impetus to finally realizing the implementation of the full breadth of the Nolan and Temple Lang…

Computers and Society · Computer Science 2020-10-15 Wesley Burr , Fanny Chevalier , Christopher Collins , Alison L Gibbs , Raymond Ng , Chris Wild

Quantum computing is a growing field at the intersection of physics and computer science. The goal of this article is to highlight a successfully trialled quantum computing course for high school students between the ages of 15 and 18 years…

Physics Education · Physics 2024-06-19 Ciaran Hughes , Joshua Isaacson , Anastasia Perry , Ranbel Sun , Jessica Turner