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Quantum theory (QT) has been confirmed by numerous experiments, yet we still cannot fully grasp the meaning of the theory. As a consequence, the quantum world appears to us paradoxical. Here we shed new light on QT by being based on two…

Quantum Physics · Physics 2019-05-21 Alessio Benavoli , Alessandro Facchini , Marco Zaffalon

This article presents a general solution to the problem of computational complexity. First, it gives a historical introduction to the problem since the revival of the foundational problems of mathematics at the end of the 19th century.…

Computational Complexity · Computer Science 2023-12-25 Rami Zaidan

The concept of "task" is at the core of artificial intelligence (AI): Tasks are used for training and evaluating AI systems, which are built in order to perform and automatize tasks we deem useful. In other fields of engineering theoretical…

Artificial Intelligence · Computer Science 2016-05-13 Kristinn R. Thórisson , Jordi Bieger , Thröstur Thorarensen , Jóna S. Sigurðardóttir , Bas R. Steunebrink

Incomputability as a mathematical notion arose from work of Alan Turing and Alonzo Church in the 1930s. Like Turing himself, it attracted less attention than it deserved beyond the confines of mathematics. Today our experiences in computer…

History and Overview · Mathematics 2013-04-24 S. Barry Cooper

More than a speculative technology, quantum computing seems to challenge our most basic intuitions about how the physical world should behave. In this thesis I show that, while some intuitions from classical computer science must be…

Quantum Physics · Physics 2007-05-23 Scott Aaronson

The introduction of generative artificial intelligence applications to the public has led to heated discussions about its potential impacts and risks for K-12 education. One particular challenge has been to decide what students should learn…

Computers and Society · Computer Science 2026-02-20 Yasmin Kafai , Shuchi Grover

Complexity remains one of the central challenges in science and technology. Although several approaches at defining and/or quantifying complexity have been proposed, at some point each of them seems to run into intrinsic limitations or…

Other Computer Science · Computer Science 2021-10-05 Luciano da F. Costa , Guilherme S. Domingues

The purpose of this thesis is to make an analysis of the concept of Hypercomputation and of some hypermachines. This thesis is separated in three main parts. We start in the first chapter with an analysis of the concept of Classical…

Computational Complexity · Computer Science 2012-10-29 Gentian Kasa

Computability logic is a formal theory of (interactive) computability in the same sense as classical logic is a formal theory of truth. This approach was initiated very recently in "Introduction to computability logic" (Annals of Pure and…

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

In this survey, we aim to explore the fundamental question of whether the next generation of artificial intelligence requires quantum computing. Artificial intelligence is increasingly playing a crucial role in many aspects of our daily…

Artificial Intelligence · Computer Science 2023-07-07 Aras Bacho , Holger Boche , Gitta Kutyniok

Quantum computers take advantage of interfering quantum alternatives in order to handle problems that might be too time consuming with algorithms based on classical logic. Developing quantum computers requires new ways of thinking beyond…

Quantum Physics · Physics 2014-09-10 W. C. Parke

For the most of my life, I have earned my living as a computer vision professional busy with image processing tasks and problems. In the computer vision community there is a widespread belief that artificial vision systems faithfully…

Artificial Intelligence · Computer Science 2010-02-02 Emanuel Diamant

Artificial computing machinery transforms representations through an objective process, to be interpreted subjectively by humans, so the machine and the interpreter are different entities, but in the putative natural computing both…

Artificial Intelligence · Computer Science 2025-06-17 Luis A. Pineda

We have defined the Conscious Turing Machine (CTM) for the purpose of investigating a Theoretical Computer Science (TCS) approach to consciousness. For this, we have hewn to the TCS demand for simplicity and understandability. The CTM is…

Artificial Intelligence · Computer Science 2023-03-31 Lenore Blum , Manuel Blum

In this article we review Tononi's (2008) theory of consciousness as integrated information. We argue that previous formalizations of integrated information (e.g. Griffith, 2014) depend on information loss. Since lossy integration would…

Information Theory · Computer Science 2014-05-02 Phil Maguire , Philippe Moser , Rebecca Maguire , Virgil Griffith

The problem of replicating the flexibility of human common-sense reasoning has captured the imagination of computer scientists since the early days of Alan Turing's foundational work on computation and the philosophy of artificial…

Artificial Intelligence · Computer Science 2015-11-24 Cameron E. Freer , Daniel M. Roy , Joshua B. Tenenbaum

We approach the question "What is Consciousness?" in a new way, not as Descartes' "systematic doubt", but as how organisms find their way in their world. Finding one's way involves finding possible uses of features of the world that might…

Physics and Society · Physics 2022-06-30 Stuart A. Kauffman , Andrea Roli

This paper examines the intellectual legacy of Philip E. Agre by situating his work at the intersection of artificial intelligence, philosophy, and critical theory. It reconstructs Agre's proposal of a critical technical practice, according…

Computers and Society · Computer Science 2026-01-21 Jethro Masis

There is general consensus that it is important for artificial intelligence (AI) and machine learning systems to be explainable and/or interpretable. However, there is no general consensus over what is meant by 'explainable' and…

Artificial Intelligence · Computer Science 2018-10-02 Alun Preece , Dan Harborne , Dave Braines , Richard Tomsett , Supriyo Chakraborty

This essay explores the limits of Turing machines concerning the modeling of minds and suggests alternatives to go beyond those limits.

Artificial Intelligence · Computer Science 2011-10-14 Carlos Gershenson