Computational Prospects of Infinity

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Publisher : World Scientific
ISBN 13 : 981279655X
Total Pages : 431 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Computational Prospects of Infinity by : Chitat Chong

Download or read book Computational Prospects of Infinity written by Chitat Chong and published by World Scientific. This book was released on 2008 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of written versions of the talks given at the Workshop on Computational Prospects of Infinity, held at the Institute for Mathematical Sciences from 18 June to 15 August 2005. It consists of contributions from many of the leading experts in recursion theory (computability theory) and set theory. Topics covered include the structure theory of various notions of degrees of unsolvability, algorithmic randomness, reverse mathematics, forcing, large cardinals and inner model theory, and many others.

Computational Prospects of Infinity: Presented talks

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (213 download)

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Download or read book Computational Prospects of Infinity: Presented talks written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Prospects of Infinity

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Publisher :
ISBN 13 : 9789812796547
Total Pages : 0 pages
Book Rating : 4.7/5 (965 download)

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Book Synopsis Computational Prospects of Infinity by :

Download or read book Computational Prospects of Infinity written by and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Prospects of Infinity: Presented talks

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Publisher : World Scientific
ISBN 13 : 9812796541
Total Pages : 431 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Computational Prospects of Infinity: Presented talks by : Chi-Tat Chong

Download or read book Computational Prospects of Infinity: Presented talks written by Chi-Tat Chong and published by World Scientific. This book was released on 2008 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of written versions of the talks given at the Workshop on Computational Prospects of Infinity, held at the Institute for Mathematical Sciences from 18 June to 15 August 2005. It consists of contributions from many of the leading experts in recursion theory (computability theory) and set theory. Topics covered include the structure theory of various notions of degrees of unsolvability, algorithmic randomness, reverse mathematics, forcing, large cardinals and inner model theory, and many others.

Computational Prospects of Infinity

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Publisher :
ISBN 13 : 9814471526
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Computational Prospects of Infinity by :

Download or read book Computational Prospects of Infinity written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Prospects of Infinity: Tutorials

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Publisher : World Scientific
ISBN 13 : 9812796533
Total Pages : 264 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Computational Prospects of Infinity: Tutorials by : Chi-Tat Chong

Download or read book Computational Prospects of Infinity: Tutorials written by Chi-Tat Chong and published by World Scientific. This book was released on 2008 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume is a collection of written versions of the talks given at the Workshop on Computational Prospects of Infinity, held at the Institute for Mathematical Sciences from 18 June to 15 August 2005. It consists of contributions from many of the leading experts in recursion theory (computability theory) and set theory. Topics covered include the structure theory of various notions of degrees of unsolvability, algorithmic randomness, reverse mathematics, forcing, large cardinals and inner model theory, and many others."--Publisher's website.

Computability and Complexity

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Publisher : Springer
ISBN 13 : 3319500627
Total Pages : 788 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Computability and Complexity by : Adam Day

Download or read book Computability and Complexity written by Adam Day and published by Springer. This book was released on 2016-11-30 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift is published in honor of Rodney G. Downey, eminent logician and computer scientist, surfer and Scottish country dancer, on the occasion of his 60th birthday. The Festschrift contains papers and laudations that showcase the broad and important scientific, leadership and mentoring contributions made by Rod during his distinguished career. The volume contains 42 papers presenting original unpublished research, or expository and survey results in Turing degrees, computably enumerable sets, computable algebra, computable model theory, algorithmic randomness, reverse mathematics, and parameterized complexity, all areas in which Rod Downey has had significant interests and influence. The volume contains several surveys that make the various areas accessible to non-specialists while also including some proofs that illustrate the flavor of the fields.

Infinity and Truth

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Publisher : World Scientific
ISBN 13 : 9814571059
Total Pages : 244 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Infinity and Truth by : Chitat Chong

Download or read book Infinity and Truth written by Chitat Chong and published by World Scientific. This book was released on 2013-11-28 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the nature of mathematical truth and how does one resolve questions that are formally unsolvable within the Zermelo–Fraenkel Set Theory with the Axiom of Choice, and (ii) Do the discoveries in mathematics provide evidence favoring one philosophical view over others? These issues are discussed from the vantage point of recent progress in foundational studies. The final chapter features questions proposed by the participants of the Workshop that will drive foundational research. The wide range of topics covered here will be of interest to students, researchers and mathematicians concerned with issues in the foundations of mathematics. Contents:Invited Lectures:Absoluteness, Truth, and Quotients (Ilijas Farah)A Multiverse Perspective on the Axiom of Constructiblity (Joel David Hamkins)Hilbert, Bourbaki and the Scorning of Logic (A R D Mathias)Toward Objectivity in Mathematics (Stephen G Simpson)Sort Logic and Foundations of Mathematics (Jouko Väänänen)Reasoning about Constructive Concepts (Nik Weaver)Perfect Infinites and Finite Approximation (Boris Zilber)Special Session:An Objective Justification for Actual Infinity? (Stephen G Simpson)Oracle Questions (Theodore A Slaman and W Hugh Woodin) Readership: Mathematicians, philosophers, scientists, graduate students, academic institutions, and research organizations interested in logic and the philosophy of mathematics. Keywords:Mathematical Logic;Foundations of Mathematics;Philosophy of Mathematics;Mathematical Truth;Infinity;Set Theory;Proof Theory;MultiverseKey Features:All the contributors are world-renownedThe final chapter is written by Theodore A Slaman and W Hugh Woodin, who are two of the leading logicians in the world. They are also the volume editors

Foundations of Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 1470422565
Total Pages : 322 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Foundations of Mathematics by : Andrés Eduardo Caicedo

Download or read book Foundations of Mathematics written by Andrés Eduardo Caicedo and published by American Mathematical Soc.. This book was released on 2017-05-12 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Logic at Harvard conference in honor of W. Hugh Woodin's 60th birthday, held March 27–29, 2015, at Harvard University. It presents a collection of papers related to the work of Woodin, who has been one of the leading figures in set theory since the early 1980s. The topics cover many of the areas central to Woodin's work, including large cardinals, determinacy, descriptive set theory and the continuum problem, as well as connections between set theory and Banach spaces, recursion theory, and philosophy, each reflecting a period of Woodin's career. Other topics covered are forcing axioms, inner model theory, the partition calculus, and the theory of ultrafilters. This volume should make a suitable introduction to Woodin's work and the concerns which motivate it. The papers should be of interest to graduate students and researchers in both mathematics and philosophy of mathematics, particularly in set theory, foundations and related areas.

Algorithmic Randomness and Complexity

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Publisher : Springer Science & Business Media
ISBN 13 : 0387684417
Total Pages : 883 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Algorithmic Randomness and Complexity by : Rodney G. Downey

Download or read book Algorithmic Randomness and Complexity written by Rodney G. Downey and published by Springer Science & Business Media. This book was released on 2010-10-29 with total page 883 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability and complexity theory are two central areas of research in theoretical computer science. This book provides a systematic, technical development of "algorithmic randomness" and complexity for scientists from diverse fields.

Unity of Logic and Computation

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Publisher : Springer Nature
ISBN 13 : 3031369785
Total Pages : 327 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Unity of Logic and Computation by : Gianluca Della Vedova

Download or read book Unity of Logic and Computation written by Gianluca Della Vedova and published by Springer Nature. This book was released on 2023-07-18 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Aspects Of Computation And Automata Theory With Applications

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Publisher : World Scientific
ISBN 13 : 9811278644
Total Pages : 492 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Aspects Of Computation And Automata Theory With Applications by : Noam Greenberg

Download or read book Aspects Of Computation And Automata Theory With Applications written by Noam Greenberg and published by World Scientific. This book was released on 2023-10-23 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume results from two programs that took place at the Institute for Mathematical Sciences at the National University of Singapore: Aspects of Computation — in Celebration of the Research Work of Professor Rod Downey (21 August to 15 September 2017) and Automata Theory and Applications: Games, Learning and Structures (20-24 September 2021).The first program was dedicated to the research work of Rodney G. Downey, in celebration of his 60th birthday. The second program covered automata theory whereby researchers investigate the other end of computation, namely the computation with finite automata, and the intermediate level of languages in the Chomsky hierarchy (like context-free and context-sensitive languages).This volume contains 17 contributions reflecting the current state-of-art in the fields of the two programs.

Recursion Theory

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110275643
Total Pages : 320 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Recursion Theory by : Chi Tat Chong

Download or read book Recursion Theory written by Chi Tat Chong and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-08-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.

Braids

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Publisher : World Scientific
ISBN 13 : 9814291404
Total Pages : 414 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Braids by : A. Jon Berrick

Download or read book Braids written by A. Jon Berrick and published by World Scientific. This book was released on 2010 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an indispensable guide for anyone seeking to familarize themselves with research in braid groups, configuration spaces and their applications. Starting at the beginning, and assuming only basic topology and group theory, the volume's noted expositors take the reader through the fundamental theory and on to current research and applications in fields as varied as astrophysics, cryptography and robotics. As leading researchers themselves, the authors write enthusiastically about their topics, and include many striking illustrations. The chapters have their origins in tutorials given at a Summer School on Braids, at the National University of Singapore's Institute for Mathematical Sciences in June 2007, to an audience of more than thirty international graduate students.

Mathematical Horizons for Quantum Physics

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Publisher : World Scientific
ISBN 13 : 9814313319
Total Pages : 221 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Mathematical Horizons for Quantum Physics by : Huzihiro Araki

Download or read book Mathematical Horizons for Quantum Physics written by Huzihiro Araki and published by World Scientific. This book was released on 2010 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Literaturangaben

Interface Problems and Methods in Biological and Physical Flows

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Publisher : World Scientific
ISBN 13 : 981283785X
Total Pages : 184 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Interface Problems and Methods in Biological and Physical Flows by : Boo Cheong Khoo

Download or read book Interface Problems and Methods in Biological and Physical Flows written by Boo Cheong Khoo and published by World Scientific. This book was released on 2009 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume showcases lecture notes collected from tutorials presented at the Workshop on Moving Interface Problems and Applications in Fluid Dynamics that was held between January 8 and March 31, 2007 at the Institute for Mathematical Sciences, National University of Singapore. As part of the program, these tutorials were conducted by specialists within their respective areas such as Robert Dillon, Zhilin Li, John Lowengrub, Frank Lu and Gretar Tryggvason. The topics in the program encompass modeling and simulations of biological flow coupled to deformable tissue/elastic structure, shock wave and bubble dynamics and various applications like biological treatments with experimental verification, multi-medium flow or multiphase flow and various applications including cavitation/supercavitation, detonation problems, Newtonian and non-Newtonian fluid, and many other areas. This volume benefits graduate students and researchers keen in the field of interfacial flows for application to physical and biological systems. Even beginners will find this volume a very useful starting point with many relevant references applicable.

Random Matrix Theory and Its Applications

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Publisher :
ISBN 13 : 9814467995
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Download or read book Random Matrix Theory and Its Applications written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: