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According to a mainstream position in contemporary cognitive science and philosophy, the use of abstract compositional concepts is both a necessary and a sufficient condition for the presence of genuine thought. In this article, we show how…

Machine Learning · Computer Science 2019-10-17 Katja Ried , Benjamin Eva , Thomas Müller , Hans J. Briegel

In this paper, we investigate the problem of synthesizing computable functions of infinite words over an infinite alphabet (data $\omega$-words). The notion of computability is defined through Turing machines with infinite inputs which can…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Léo Exibard , Emmanuel Filiot , Nathan Lhote , Pierre-Alain Reynier

In this paper the theory of flexibly-bounded rationality which is an extension to the theory of bounded rationality is revisited. Rational decision making involves using information which is almost always imperfect and incomplete together…

Artificial Intelligence · Computer Science 2013-06-11 Tshilidzi Marwala

We characterize three notions of explainable AI that cut across research fields: opaque systems that offer no insight into its algo- rithmic mechanisms; interpretable systems where users can mathemat- ically analyze its algorithmic…

Artificial Intelligence · Computer Science 2017-10-03 Derek Doran , Sarah Schulz , Tarek R. Besold

Abductive reasoning, reasoning for inferring explanations for observations, is often mentioned in scientific, design-related and artistic contexts, but its understanding varies across these domains. This paper reviews how abductive…

Artificial Intelligence · Computer Science 2025-07-14 Abhinav Sood , Kazjon Grace , Stephen Wan , Cecile Paris

This article presents a heuristic view that shows that the inner states of consciousness experienced by every human being have a physical but imaginary hypercomplex basis. The hypercomplex description is necessary because certain processes…

Artificial Intelligence · Computer Science 2024-09-04 Ralf Otte

The Turing Test is no longer adequate for distinguishing human and machine intelligence. With advanced artificial intelligence systems already passing the original Turing Test and contributing to serious ethical and environmental concerns,…

Machine Learning · Computer Science 2026-01-01 Adam Winchell

Contrary to the classical case, the relation between quantum programming languages and quantum Turing Machines (QTM) has not being fully investigated. In particular, there are features of QTMs that have not been exploited, a notable example…

Logic in Computer Science · Computer Science 2020-08-13 Stefano Guerrini , Simone Martini , Andrea Masini

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

Hypercomputation is a relatively new branch of computer science that emerged from the idea that the Church--Turing Thesis, which is supposed to describe what is computable and what is noncomputable, cannot possible be true. Because of its…

Other Computer Science · Computer Science 2009-10-12 Apostolos Syropoulos

The Machine Consciousness Hypothesis states that consciousness is a substrate-free functional property of computational systems capable of second-order perception. I propose a research program to investigate this idea in silico by studying…

Artificial Intelligence · Computer Science 2025-12-02 Stephen Fitz

Human reasoning can distill principles from observed patterns and generalize them to explain and solve novel problems. The most powerful artificial intelligence systems lack explainability and symbolic reasoning ability, and have therefore…

Machine Learning · Computer Science 2021-11-17 Paul J. Blazek , Kesavan Venkatesh , Milo M. Lin

The present article is a brief informal survey of computability logic --- the game-semantically conceived formal theory of computational resources and tasks. This relatively young nonclassical logic is a conservative extension of classical…

Logic in Computer Science · Computer Science 2019-02-15 Giorgi Japaridze

Consider a universal Turing machine that produces a partial or total function (or a binary stream), based on the answers to the binary queries that it makes during the computation. We study the probability that the machine will produce a…

Computational Complexity · Computer Science 2017-04-28 George Barmpalias , Douglas Cenzer , Christopher P. Porter

In research of manufacturing systems and autonomous robots, the term capability is used for a machine-interpretable specification of a system function. Approaches in this research area develop information models that capture all information…

Artificial Intelligence · Computer Science 2024-02-15 Aljosha Köcher , Luis Miguel Vieira da Silva , Alexander Fay

The machinery of the human brain -- analog, probabilistic, embodied -- can be characterized computationally, but what machinery confers what computational powers? Any such system can be abstractly cast in terms of two computational…

Neurons and Cognition · Quantitative Biology 2020-08-14 Richard Granger

Theoretical computer science discusses foundational issues about computations. It asks and answers questions such as "What is a computation?", "What is computable?", "What is efficiently computable?","What is information?", "What is…

Logic in Computer Science · Computer Science 2017-10-10 Noson S. Yanofsky

A machine thinking model is proposed in this report based on recent advances of computer vision and the recent results of neuroscience devoted to brain understanding. We deliver the result of machine thinking in the form of sentences of…

Computer Vision and Pattern Recognition · Computer Science 2022-01-21 Slimane Larabi

The proposed system of integer functions is logically fully independent from the traditional mathematical analysis of the real functions, but there is a well-defined mutual correspondence between the two disciplines. The system of integer…

General Mathematics · Mathematics 2017-10-03 Jozsef Peredy

The field of computability and complexity was, where computer science sprung from. Turing, Church, and Kleene all developed formalisms that demonstrated what they held "intuitively computable". The times change however and today's…

Programming Languages · Computer Science 2014-02-13 Aaron Karper