Ordinal Computability

Ordinal Computability

Author: Merlin Carl

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2019-09-23

Total Pages: 344

ISBN-13: 3110496151

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Ordinal Computability discusses models of computation obtained by generalizing classical models, such as Turing machines or register machines, to transfinite working time and space. In particular, recognizability, randomness, and applications to other areas of mathematics are covered.


Beyond the Horizon of Computability

Beyond the Horizon of Computability

Author: Marcella Anselmo

Publisher: Springer Nature

Published: 2020-06-23

Total Pages: 379

ISBN-13: 3030514668

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This book constitutes the proceedings of the 16th Conference on Computability in Europe, CiE 2020, which was planned to be held in Fisciano, Italy, during June 29 until July 3, 2020. The conference moved to a virtual format due to the coronavirus pandemic. The 30 full and 5 short papers presented in this volume were carefully reviewed and selected from 72 submissions. CiE promotes the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences, such as physics and biology, as well as related fields, such as philosophy and history of computing. CiE 2020 had as its motto Beyond the Horizon of Computability, reflecting the interest of CiE in research transgressing the traditional boundaries of computability theory.


Computation and Logic in the Real World

Computation and Logic in the Real World

Author: Barry S. Cooper

Publisher: Springer

Published: 2007-07-25

Total Pages: 843

ISBN-13: 354073001X

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This book constitutes the refereed proceedings of the Third International Conference on Computability in Europe, CiE 2007, held in Sienna, Italy, in June 2007. The 50 revised full papers presented together with 36 invited papers were carefully reviewed and selected from 167 submissions.


The Nature of Computation: Logic, Algorithms, Applications

The Nature of Computation: Logic, Algorithms, Applications

Author: Paola Bonizzoni

Publisher: Springer

Published: 2013-06-03

Total Pages: 462

ISBN-13: 3642390536

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This book constitutes the refereed proceedings of the 9th Conference on Computability in Europe, CiE 2013, held in Milan, Italy, in July 2013. The 48 revised papers presented together with 1 invited lecture and 2 tutorials were carefully reviewed and selected with an acceptance rate of under 31,7%. Both the conference series and the association promote the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences such as physics and biology, and also including the promotion of related non-scientific fields such as philosophy and history of computing.


Connecting with Computability

Connecting with Computability

Author: Liesbeth De Mol

Publisher: Springer Nature

Published: 2021-07-01

Total Pages: 506

ISBN-13: 3030800490

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This book constitutes the proceedings of the 17th Conference on Computability in Europe, CiE 2021, organized by the University of Ghent in July 2021. Due to COVID-19 pandemic the conference was held virtually. The 48 full papers presented in this volume were carefully reviewed and selected from 50 submissions. CiE promotes the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences, such as physics and biology, as well as related fields, such as philosophy and history of computing. CiE 2021 had as its motto Connecting with Computability, a clear acknowledgement of the connecting and interdisciplinary nature of the conference series which is all the more important in a time where people are more than ever disconnected from one another due to the COVID-19 pandemic.


Unity of Logic and Computation

Unity of Logic and Computation

Author: Gianluca Della Vedova

Publisher: Springer Nature

Published: 2023-07-18

Total Pages: 327

ISBN-13: 3031369785

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This book constitutes the refereed proceedings of the 19th International Conference on Unity of Logic and Computation, CiE 2023, held in Batumi, Georgia, during July 24–28, 2023. The 23 full papers and 13 invited papers included in this book were carefully reviewed and selected from 51 submissions. They were organized in topical sections as follows: ​Degree theory; Proof Theory; Computability; Algorithmic Randomness; Computational Complexity; Interactive proofs; and Combinatorial approaches.


Mathematical Theory and Computational Practice

Mathematical Theory and Computational Practice

Author: Klaus Ambos-Spies

Publisher: Springer Science & Business Media

Published: 2009-07-15

Total Pages: 524

ISBN-13: 3642030734

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This book constitutes the proceedings of the 5th Conference on Computability in Europe, CiE 2009, held in Heidelberg, Germany, during July 19-24, 2009. The 34 papers presented together with 17 invited lectures were carefully reviewed and selected from 100 submissions. The aims of the conference is to advance our theoretical understanding of what can and cannot be computed, by any means of computation. It is the largest international meeting focused on computability theoretic issues.


New Computational Paradigms

New Computational Paradigms

Author: Barry S. Cooper

Publisher: Springer

Published: 2005-05-20

Total Pages: 588

ISBN-13: 3540322663

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This book constitutes the refereed proceedings of the first International Conference on Computability in Europe, CiE 2005, held in Amsterdam, The Netherlands in June 2005. The 68 revised full papers presented were carefully reviewed and selected from 144 submissions. Among them are papers corresponding to two tutorials, six plenary talks and papers of six special sessions involving mathematical logic and computer science at the same time as offering the methodological foundations for models of computation. The papers address many aspects of computability in Europe with a special focus on new computational paradigms. These include first of all connections between computation and physical systems (e.g., quantum and analog computation, neural nets, molecular computation), but also cover new perspectives on models of computation arising from basic research in mathematical logic and theoretical computer science.


Machines, Computations, and Universality

Machines, Computations, and Universality

Author: Jérôme Durand-Lose

Publisher: Springer Science & Business Media

Published: 2007-08-23

Total Pages: 333

ISBN-13: 3540745920

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This book constitutes the refereed proceedings of the 5th International Conference on Machines, Computations, and Universality, MCU 2007, held in Orleans, France, September 2007. The 18 revised full papers presented together with nine invited papers cover Turing machines, register machines, word processing, cellular automata, tiling of the plane, neural networks, molecular computations, BSS machines, infinite cellular automata, real machines, and quantum computing.


Turing's Legacy

Turing's Legacy

Author: Rod Downey

Publisher: Cambridge University Press

Published: 2014-05

Total Pages: 540

ISBN-13: 1107043484

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A collection of essays celebrating the influence of Alan Turing's work in logic, computer science and related areas.