Finite Structures With Few Types
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Finite Structures With Few Types
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Author : Gregory L. Cherlin
language : en
Publisher: Princeton University Press
Release Date : 2003
Finite Structures With Few Types written by Gregory L. Cherlin and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This book applies model theoretic methods to the study of certain finite permutation groups, the automorphism groups of structures for a fixed finite language with a bounded number of orbits on 4-tuples. Primitive permutation groups of this type have been classified by Kantor, Liebeck, and Macpherson, using the classification of the finite simple groups. Building on this work, Gregory Cherlin and Ehud Hrushovski here treat the general case by developing analogs of the model theoretic methods of geometric stability theory. The work lies at the juncture of permutation group theory, model theory, classical geometries, and combinatorics. The principal results are finite theorems, an associated analysis of computational issues, and an "intrinsic" characterization of the permutation groups (or finite structures) under consideration. The main finiteness theorem shows that the structures under consideration fall naturally into finitely many families, with each family parametrized by finitely many numerical invariants (dimensions of associated coordinating geometries). The authors provide a case study in the extension of methods of stable model theory to a nonstable context, related to work on Shelah's "simple theories." They also generalize Lachlan's results on stable homogeneous structures for finite relational languages, solving problems of effectivity left open by that case. Their methods involve the analysis of groups interpretable in these structures, an analog of Zilber's envelopes, and the combinatorics of the underlying geometries. Taking geometric stability theory into new territory, this book is for mathematicians interested in model theory and group theory.
Logic Without Borders
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Author : Åsa Hirvonen
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-03-10
Logic Without Borders written by Åsa Hirvonen and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-10 with Philosophy categories.
In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.
Finite And Algorithmic Model Theory
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Author : Javier Esparza
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-10
Finite And Algorithmic Model Theory written by Javier Esparza and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-10 with Computers categories.
Surveys of current research in logical aspects of computer science that apply finite and infinite model-theoretic methods.
Algebraic Model Theory
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Author : Bradd T. Hart
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Algebraic Model Theory written by Bradd T. Hart and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras. Audience: Graduate students in logic and others wishing to keep abreast of current trends in model theory. The lectures contain sufficient introductory material to be able to grasp the recent results presented.
Model Theory And The Philosophy Of Mathematical Practice
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Author : John T. Baldwin
language : en
Publisher: Cambridge University Press
Release Date : 2018-01-25
Model Theory And The Philosophy Of Mathematical Practice written by John T. Baldwin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-25 with Mathematics categories.
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
Philosophy And Model Theory
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Author : Tim Button
language : en
Publisher: Oxford University Press
Release Date : 2018-03-09
Philosophy And Model Theory written by Tim Button and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-09 with Philosophy categories.
Model theory is used in every theoretical branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics. But these wide-ranging uses of model theory have created a highly fragmented literature. On the one hand, many philosophically significant results are found only in mathematics textbooks: these are aimed squarely at mathematicians; they typically presuppose that the reader has a serious background in mathematics; and little clue is given as to their philosophical significance. On the other hand, the philosophical applications of these results are scattered across disconnected pockets of papers. The first aim of this book, then, is to explore the philosophical uses of model theory, focusing on the central topics of reference, realism, and doxology. Its second aim is to address important questions in the philosophy of model theory, such as: sameness of theories and structure, the boundaries of logic, and the classification of mathematical structures. Philosophy and Model Theory will be accessible to anyone who has completed an introductory logic course. It does not assume that readers have encountered model theory before, but starts right at the beginning, discussing philosophical issues that arise even with conceptually basic model theory. Moreover, the book is largely self-contained: model-theoretic notions are defined as and when they are needed for the philosophical discussion, and many of the most philosophically significant results are given accessible proofs.
Foundations Of Software Technology And Theoretical Computer Science
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Author : S. Ramesh
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-11-28
Foundations Of Software Technology And Theoretical Computer Science written by S. Ramesh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-28 with Computers categories.
This book constitutes the refereed proceedings of the 17th International Conference on Foundations of Software Technology and Theoretical Computer Science, FSTTCS'97. The 18 revised full papers presented were selected from a total of 68 submissions. Also included are five invited papers by Ed Clarke, Deepak Kapur, Madhu Sudan, Vijaya Ramachandran, and Moshe Vardi. Among the topics addressed are concurrency, Petri nets, graph computations, program verification, model checking, recursion theory, rewriting, and error-correcting codes.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2006
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Challenges Of Anglophone Language S Literatures And Cultures
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Author : Alena Kačmárová
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2017-01-06
Challenges Of Anglophone Language S Literatures And Cultures written by Alena Kačmárová and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-06 with Social Science categories.
This book explores scholarly challenges within the fields of Anglophone language, literature, and culture. The section focusing on language details issues falling within two areas: namely, language contact and the language-culture relationship, and stylistic and syntactic perspectives on the English language. The literature part investigates twentieth-century American, English, and Australian literature, dealing with both poetry and prose and discussing topics of identity, gender, metafiction, postmodern conditions, and other relevant theoretical issues in contemporary literature. The culture part treats theoretical approaches in cultural studies that are vital in today’s cultural context, especially in Central European universities, the Irish language and culture, and contemporary cultural phenomena inspired by the growing ubiquity of technological intrusions into various fields of cultural production.
The Bulletin Of Symbolic Logic
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Author :
language : en
Publisher:
Release Date : 2008
The Bulletin Of Symbolic Logic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Logic, Symbolic and mathematical categories.