Combinatorial Functors
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Combinatorial Functors
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Author : J.N. Crossley
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Combinatorial Functors written by J.N. Crossley 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 2012-12-06 with Mathematics categories.
Nullane de tantis gregibus tibi digna videtur? rara avis in terra nigroque simillima cygno. Juvenal Sat. VI 161, 165. 1966-JNC visits AN at CornelI. An idea emerges. 1968-JNC is at V. c. L.A. for the Logic Year. The Los Angeles ma- script appears. 1970-AN visits JNC at Monash. 1971-The Australian manuscript appears. 1972-JNC visits AN at Cornell. Here is the result. We gratefully acknowledge support from Cornell Vniversity, Vni versity of California at Los Angeles, Monash Vniversity and National Science Foundation Grants GP 14363, 22719 and 28169. We are deeply indebted to the many people who have helped uso Amongst the mathe maticians, we are particularly grateful to J.C.E. Dekker, John Myhill, Erik Ellentuck, Peter AczeI, Chris Ash, Charlotte ehell, Ed Eisenberg, Dave Gillam, Bill Gross, Alan Hamilton, Louise Hay, Georg Kreisel, Phil Lavori, Ray Liggett, Al Manaster, Michael D. Morley, Joe Rosen stein, Graham Sainsbury, Bob Soare and Michael Venning. Last, but by no means least, we thank Anne-Marie Vandenberg, Esther Monroe, Arletta Havlik, Dolores Pendell, and Cathy Stevens and the girls of the Mathematics Department of VCLA in 1968 for hours and hours of excellent typing. Thanksgiving November 1972 J.N. Crossley Ithaca, New Y ork Anil Nerode Contents O. Introduction ... 1 Part 1. Categories and Functors 3 1. Categories ... 3 2. Morphism Combinatorial Functors 3 3. Combinatorial Functors ... 18 Part H. Model Theory . . 18 4. Countable Atomic Models 18 5. Copying . 22 6. Dimension ... 26 Part III.
Logical Methods
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Author : John N. Crossley
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Logical Methods written by John N. Crossley 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 2012-12-06 with Mathematics categories.
The twenty-six papers in this volume reflect the wide and still expanding range of Anil Nerode's work. A conference on Logical Methods was held in honor of Nerode's sixtieth birthday (4 June 1992) at the Mathematical Sciences Institute, Cornell University, 1-3 June 1992. Some of the conference papers are here, but others are from students, co-workers and other colleagues. The intention of the conference was to look forward, and to see the directions currently being pursued, in the development of work by, or with, Nerode. Here is a brief summary of the contents of this book. We give a retrospective view of Nerode's work. A number of specific areas are readily discerned: recursive equivalence types, recursive algebra and model theory, the theory of Turing degrees and r.e. sets, polynomial-time computability and computer science. Nerode began with automata theory and has also taken a keen interest in the history of mathematics. All these areas are represented. The one area missing is Nerode's applied mathematical work relating to the environment. Kozen's paper builds on Nerode's early work on automata. Recursive equivalence types are covered by Dekker and Barback, the latter using directly a fundamental metatheorem of Nerode. Recursive algebra is treated by Ge & Richards (group representations). Recursive model theory is the subject of papers by Hird, Moses, and Khoussainov & Dadajanov, while a combinatorial problem in recursive model theory is discussed in Cherlin & Martin's paper. Cenzer presents a paper on recursive dynamics.
Recursive Algebra Analysis And Combinatorics
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Author :
language : en
Publisher: Elsevier
Release Date : 1998-11-30
Recursive Algebra Analysis And Combinatorics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-30 with Computers categories.
Recursive Algebra, Analysis and Combinatorics
Logic Colloquium
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Author : R. Parikh
language : en
Publisher: Springer
Release Date : 2006-11-15
Logic Colloquium written by R. Parikh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Combinatorial Functors
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Author : John N. Crossley
language : en
Publisher:
Release Date : 195?
Combinatorial Functors written by John N. Crossley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 195? with Combinatorial analysis categories.
Foundations Of Software Science And Computational Structures
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Author : Vladimiro Sassone
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-03-24
Foundations Of Software Science And Computational Structures written by Vladimiro Sassone 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 2005-03-24 with Computers categories.
This book constitutes the refereed proceedings of the 8th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2005, held in Edinburgh, UK in April 2005 as part of ETAPS. The 30 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 108 submissions. The papers are organized in topical sections on rule formats and bisimulation, probabilistic models, algebraic models, games and automata, language analysis, partial order models, logics, coalgebraic modal logics, and computational models.
Logic Methodology And Philosophy Of Science Proceeding Of The 1960 International Congress
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Author : Lev D. Beklemishev
language : en
Publisher: Elsevier
Release Date : 2009-06-15
Logic Methodology And Philosophy Of Science Proceeding Of The 1960 International Congress written by Lev D. Beklemishev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-15 with Computers categories.
Logic, Methodology and Philosophy of Science, Proceeding of the 1960 International Congress
Combinatorics And Graph Theory A Comprehensive Introduction
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-08
Combinatorics And Graph Theory A Comprehensive Introduction written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-08 with Mathematics categories.
Embark on an intellectual journey through the captivating worlds of combinatorics and graph theory with "Combinatorics and Graph Theory: A Comprehensive Introduction." This comprehensive guide unveils the fundamental concepts, theorems, and applications of these interconnected disciplines, empowering readers to solve complex problems and gain a deeper understanding of the underlying patterns and structures that govern our world. Written in a clear and engaging manner, this book is designed for students, researchers, and enthusiasts alike. It begins with an exploration of discrete structures, delving into the intricacies of sets, relations, functions, and counting techniques. Readers are then guided through the fascinating realm of graphs, where they will discover their properties, algorithms, and diverse applications in various fields. As you progress through the chapters, you will encounter a wealth of captivating topics, including Ramsey theory, extremal combinatorics, coding theory, design theory, and much more. Each topic is presented with lucid explanations, insightful examples, and challenging exercises, fostering a deep understanding of the material. "Combinatorics and Graph Theory: A Comprehensive Introduction" is an invaluable resource for anyone seeking to master these fundamental disciplines. Its comprehensive coverage, engaging writing style, and abundance of practice problems make it an ideal companion for students, researchers, and enthusiasts alike. Whether you are seeking a solid foundation in combinatorics and graph theory, delving into the depths of these fields for research purposes, or simply seeking to expand your intellectual horizons, this book is your indispensable guide. Join us on this captivating journey as we unravel the mysteries of combinatorics and graph theory, unlocking new vistas of knowledge and igniting a passion for mathematical exploration. With its comprehensive coverage, clear explanations, and engaging examples, "Combinatorics and Graph Theory: A Comprehensive Introduction" is the ultimate resource for anyone seeking to master these fundamental disciplines. Order your copy today and embark on an intellectual adventure that will transform your understanding of the world around you. If you like this book, write a review!
Model Theoretic Methods In Finite Combinatorics
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Author : Martin Grohe
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-11-28
Model Theoretic Methods In Finite Combinatorics written by Martin Grohe and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-28 with Mathematics categories.
This volume contains the proceedings of the AMS-ASL Special Session on Model Theoretic Methods in Finite Combinatorics, held January 5-8, 2009, in Washington, DC. Over the last 20 years, various new connections between model theory and finite combinatorics emerged. The best known of these are in the area of 0-1 laws, but in recent years other very promising interactions between model theory and combinatorics have been developed in areas such as extremal combinatorics and graph limits, graph polynomials, homomorphism functions and related counting functions, and discrete algorithms, touching the boundaries of computer science and statistical physics. This volume highlights some of the main results, techniques, and research directions of the area. Topics covered in this volume include recent developments on 0-1 laws and their variations, counting functions defined by homomorphisms and graph polynomials and their relation to logic, recurrences and spectra, the logical complexity of graphs, algorithmic meta theorems based on logic, universal and homogeneous structures, and logical aspects of Ramsey theory.
Boolean Functions And Computation Models
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Author : Peter Clote
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Boolean Functions And Computation Models written by Peter Clote 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 2013-03-09 with Computers categories.
The foundations of computational complexity theory go back to Alan Thring in the 1930s who was concerned with the existence of automatic procedures deciding the validity of mathematical statements. The first example of such a problem was the undecidability of the Halting Problem which is essentially the question of debugging a computer program: Will a given program eventu ally halt? Computational complexity today addresses the quantitative aspects of the solutions obtained: Is the problem to be solved tractable? But how does one measure the intractability of computation? Several ideas were proposed: A. Cobham [Cob65] raised the question of what is the right model in order to measure a "computation step" , M. Rabin [Rab60] proposed the introduction of axioms that a complexity measure should satisfy, and C. Shannon [Sha49] suggested the boolean circuit that computes a boolean function. However, an important question remains: What is the nature of computa tion? In 1957, John von Neumann [vN58] wrote in his notes for the Silliman Lectures concerning the nature of computation and the human brain that . . . logics and statistics should be primarily, although not exclusively, viewed as the basic tools of 'information theory'. Also, that body of experience which has grown up around the planning, evaluating, and coding of complicated logical and mathematical automata will be the focus of much of this information theory. The most typical, but not the only, such automata are, of course, the large electronic computing machines.