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Computable Structures And The Hyperarithmetical Hierarchy
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Book Synopsis Computable Structures and the Hyperarithmetical Hierarchy by : C.J. Ash
Download or read book Computable Structures and the Hyperarithmetical Hierarchy written by C.J. Ash and published by Elsevier. This book was released on 2000-06-16 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties).
Book Synopsis Degree Spectra of Relations on Computable Structures by : Denis Roman Hirschfeldt
Download or read book Degree Spectra of Relations on Computable Structures written by Denis Roman Hirschfeldt and published by . This book was released on 1999 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computable Structure Theory by : Antonio Montalbán
Download or read book Computable Structure Theory written by Antonio Montalbán and published by Cambridge University Press. This book was released on 2021-06-24 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: In mathematics, we know there are some concepts - objects, constructions, structures, proofs - that are more complex and difficult to describe than others. Computable structure theory quantifies and studies the complexity of mathematical structures, structures such as graphs, groups, and orderings. Written by a contemporary expert in the subject, this is the first full monograph on computable structure theory in 20 years. Aimed at graduate students and researchers in mathematical logic, it brings new results of the author together with many older results that were previously scattered across the literature and presents them all in a coherent framework, making it easier for the reader to learn the main results and techniques in the area for application in their own research. This volume focuses on countable structures whose complexity can be measured within arithmetic; a forthcoming second volume will study structures beyond arithmetic.
Book Synopsis Evolving Computability by : Arnold Beckmann
Download or read book Evolving Computability written by Arnold Beckmann and published by Springer. This book was released on 2015-06-19 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th Conference on Computability in Europe, CiE 2015, held in Bucharest, Romania, in June/July 2015. The 26 revised papers presented were carefully reviewed and selected from 64 submissions and included together with 10 invited papers in this proceedings. The conference CiE 2015 has six special sessions: two sessions, Representing Streams and Reverse Mathematics, were introduced for the first time in the conference series. In addition to this, new developments in areas frequently covered in the CiE conference series were addressed in the further special sessions on Automata, Logic and Infinite Games; Bio-inspired Computation; Classical Computability Theory; as well as History and Philosophy of Computing.
Download or read book Advances in Logic written by Su Gao and published by American Mathematical Soc.. This book was released on 2007 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this book are based on talks given at the North Texas Logic Conference in October of 2004. The main goal of the editors was to collect articles representing diverse fields within logic that would both contain significant new results and be accessible to readers with a general background in logic. Included in the book is a problem list, jointly compiled by the speakers, that reflects some of the most important questions in various areas of logic. This book should be useful to graduate students and researchers alike across the spectrum of mathematical logic.
Book Synopsis Sailing Routes in the World of Computation by : Florin Manea
Download or read book Sailing Routes in the World of Computation written by Florin Manea and published by Springer. This book was released on 2018-07-23 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th Conference on Computability in Europe, CiE 2018, held in Kiel, Germany, in July/ August 2017. The 26 revised full papers were carefully reviewed and selected from 55 submissions. In addition, this volume includes 15 invited papers. The conference CiE 2018 has six special sessions, namely: Approximation and optimization, Bioinformatics and bio-inspired computing, computing with imperfect information, continuous computation, history and philosophy of computing (celebrating the 80th birthday of Martin Davis), and SAT-solving.
Book Synopsis How the World Computes by : Barry S. Cooper
Download or read book How the World Computes written by Barry S. Cooper and published by Springer. This book was released on 2012-05-28 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Turing Centenary Conference and the 8th Conference on Computability in Europe, CiE 2012, held in Cambridge, UK, in June 2012. The 53 revised papers presented together with 6 invited lectures were carefully reviewed and selected with an acceptance rate of under 29,8%. The CiE 2012 Turing Centenary Conference will be remembered as a historic event in the continuing development of the powerful explanatory role of computability across a wide spectrum of research areas. The papers presented at CiE 2012 represent the best of current research in the area, and forms a fitting tribute to the short but brilliant trajectory of Alan Mathison Turing. 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.
Book Synopsis Structure And Randomness In Computability And Set Theory by : Douglas Cenzer
Download or read book Structure And Randomness In Computability And Set Theory written by Douglas Cenzer and published by World Scientific. This book was released on 2020-10-02 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra, analysis and topology. These include effective versions of Borel equivalence, Borel reducibility and Borel determinacy. It also covers algorithmic randomness and dimension, Ramsey sets and Ramsey spaces. Many of these topics are being discussed in the NSF-supported annual Southeastern Logic Symposium.
Book Synopsis Connecting with Computability by : Liesbeth De Mol
Download or read book Connecting with Computability written by Liesbeth De Mol and published by Springer Nature. This book was released on 2021-07-01 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Models, Logics, and Higher-dimensional Categories by : Bradd T. Hart
Download or read book Models, Logics, and Higher-dimensional Categories written by Bradd T. Hart and published by American Mathematical Soc.. This book was released on with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a conference held at Centre de recherches mathematiques of the Universite de Montreal, June 18-20, 2009.
Book Synopsis Theory and Applications of Models of Computation by : T.V. Gopal
Download or read book Theory and Applications of Models of Computation written by T.V. Gopal and published by Springer. This book was released on 2017-04-13 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th Annual Conference on Theory and Applications of Models of Computation, TAMC 2017, held in Bern, Switzerland, in April 2017. The 45 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 103 submissions. The main themes of TAMC 2017 have been computability, computer science logic, complexity, algorithms, and models of computation and systems theory.
Download or read book Turing's Legacy written by Rod Downey and published by Cambridge University Press. This book was released on 2014-05-01 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alan Turing was an inspirational figure who is now recognised as a genius of modern mathematics. In addition to leading the Allied forces' code-breaking effort at Bletchley Park in World War II, he proposed the theoretical foundations of modern computing and anticipated developments in areas from information theory to computer chess. His ideas have been extraordinarily influential in modern mathematics and this book traces such developments by bringing together essays by leading experts in logic, artificial intelligence, computability theory and related areas. Together, they give insight into this fascinating man, the development of modern logic, and the history of ideas. The articles within cover a diverse selection of topics, such as the development of formal proof, differing views on the Church–Turing thesis, the development of combinatorial group theory, and Turing's work on randomness which foresaw the ideas of algorithmic randomness that would emerge many years later.
Book Synopsis Unveiling Dynamics and Complexity by : Jarkko Kari
Download or read book Unveiling Dynamics and Complexity written by Jarkko Kari and published by Springer. This book was released on 2017-06-07 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th Conference on Computability in Europe, CiE 2017, held in Turku, Finland, in June 2017. The 24 revised full papers and 12 invited papers were carefully reviewed and selected from 69 submissions. The conference CiE 2016 has six special sessions, namly: algorithmics for biology; combinatorics and algorithmics on words; computability in analysis, algebra, and geometry; cryptography and information theory; formal languages and automata theory; and history and philosophy of computing.
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.
Book Synopsis Proceedings Of The 14th And 15th Asian Logic Conferences by : Kim Byunghan
Download or read book Proceedings Of The 14th And 15th Asian Logic Conferences written by Kim Byunghan and published by World Scientific. This book was released on 2019-01-16 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Asian Logic Conference (ALC) is a major international event in mathematical logic. It features the latest scientific developments in the fields of mathematical logic and its applications, logic in computer science, and philosophical logic. The ALC series also aims to promote mathematical logic in the Asia-Pacific region and to bring logicians together both from within Asia and elsewhere for an exchange of information and ideas. This combined proceedings volume represents works presented or arising from the 14th and 15th ALCs.
Book Synopsis Revolutions and Revelations in Computability by : Ulrich Berger
Download or read book Revolutions and Revelations in Computability written by Ulrich Berger and published by Springer Nature. This book was released on 2022-06-25 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 18th Conference on Computability in Europe, CiE 2022, in Swansea, UK, in July 2022. The 19 full papers together with 7 invited papers presented in this volume were carefully reviewed and selected from 41 submissions. The motto of CiE 2022 was “Revolutions and revelations in computability”. This alludes to the revolutionary developments we have seen in computability theory, starting with Turing's and Gödel's discoveries of the uncomputable and the unprovable and continuing to the present day with the advent of new computational paradigms such as quantum computing and bio-computing, which have dramatically changed our view of computability and revealed new insights into the multifarious nature of computation.
Book Synopsis Logic Colloquium 2005 by : Costas Dimitracopoulos
Download or read book Logic Colloquium 2005 written by Costas Dimitracopoulos and published by Cambridge University Press. This book was released on 2007-12-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of developments, and the rest of the papers are chosen to complement the invited talks. This 2007 volume includes surveys, tutorials, and selected research papers from the 2005 meeting. Highlights include three papers on different aspects of connections between model theory and algebra; a survey of major advances in combinatorial set theory; a tutorial on proof theory and modal logic; and a description of Bernay's philosophy of mathematics.
