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Logical Approaches to Computational Barriers

Logical Approaches to Computational Barriers
Author: Arnold Beckmann
Publisher: Springer Science & Business Media
Total Pages: 623
Release: 2006-06-26
Genre: Computers
ISBN: 3540354662

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This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.


Logical Approaches to Computational Barriers

Logical Approaches to Computational Barriers
Author: Arnold Beckmann
Publisher: Springer
Total Pages: 0
Release: 2006-06-29
Genre: Computers
ISBN: 9783540354680

Download Logical Approaches to Computational Barriers Book in PDF, ePub and Kindle

This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.


Hajnal Andréka and István Németi on Unity of Science

Hajnal Andréka and István Németi on Unity of Science
Author: Judit Madarász
Publisher: Springer Nature
Total Pages: 517
Release: 2021-05-31
Genre: Philosophy
ISBN: 3030641872

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This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.


Unity of Logic and Computation

Unity of Logic and Computation
Author: Gianluca Della Vedova
Publisher: Springer Nature
Total Pages: 327
Release: 2023-07-18
Genre: Computers
ISBN: 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.


Martin Davis on Computability, Computational Logic, and Mathematical Foundations

Martin Davis on Computability, Computational Logic, and Mathematical Foundations
Author: Eugenio G. Omodeo
Publisher: Springer
Total Pages: 454
Release: 2017-01-27
Genre: Philosophy
ISBN: 3319418424

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This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability. The individual contributions touch on most of the core aspects of Davis’ work and set it in a contemporary context. They analyse, discuss and develop many of the ideas and concepts that Davis put forward, including such issues as contemporary satisfiability solvers, essential unification, quantum computing and generalisations of Hilbert’s tenth problem. The book starts out with a scientific autobiography by Davis, and ends with his responses to comments included in the contributions. In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’ work. As a whole, this book shows how Davis’ scientific work lies at the intersection of computability, theoretical computer science, foundations of mathematics, and philosophy, and draws its unifying vision from his deep involvement in Logic.


Logic, Computation, Hierarchies

Logic, Computation, Hierarchies
Author: Vasco Brattka
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 389
Release: 2014-09-04
Genre: Philosophy
ISBN: 1614519404

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Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.