Finite And Algorithmic Model Theory

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Surveys of current research in logical aspects of computer science that apply finite and infinite model-theoretic methods.

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Genre : Computers
Author : Javier Esparza
Publisher : Cambridge University Press
Release : 2011-03-10
File : 355 Pages
ISBN-13 : 9780521718202


Finite Model Theory And Its Applications

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Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particular the theory of computational complexity and database theory. One of the fundamental insights of mathematical logic is that our understanding of mathematical phenomena is enriched by elevating the languages we use to describe mathematical structures to objects of explicit study. If mathematics is the science of patterns, then the media through which we discern patterns, as well as the structures in which we discern them, command our attention. It isthis aspect oflogicwhichis mostprominentin model theory,“thebranchof mathematical logic which deals with the relation between a formal language and its interpretations”. No wonder, then, that mathematical logic, and ?nite model theory in particular, should ?nd manifold applications in computer science: from specifying programs to querying databases, computer science is rife with phenomena whose understanding requires close attention to the interaction between language and structure. This volume gives a broadoverviewof some central themes of ?nite model theory: expressive power, descriptive complexity, and zero–one laws, together with selected applications to database theory and arti?cial intelligence, es- cially constraint databases and constraint satisfaction problems. The ?nal chapter provides a concise modern introduction to modal logic,which emp- sizes the continuity in spirit and technique with ?nite model theory.

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Genre : Computers
Author : Erich Grädel
Publisher : Springer Science & Business Media
Release : 2007-06-04
File : 447 Pages
ISBN-13 : 9783540688044


Model Theoretic Methods In Finite Combinatorics

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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.

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Genre : Mathematics
Author : Martin Grohe
Publisher : American Mathematical Soc.
Release : 2011-11-28
File : 529 Pages
ISBN-13 : 9780821849439


Representation Theory And Harmonic Analysis Of Wreath Products Of Finite Groups

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A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.

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Genre : Mathematics
Author : Tullio Ceccherini-Silberstein
Publisher : Cambridge University Press
Release : 2014-01-16
File : 177 Pages
ISBN-13 : 9781107627857


The Maximal Subgroups Of The Low Dimensional Finite Classical Groups

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Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.

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Genre : Mathematics
Author : John N. Bray
Publisher : Cambridge University Press
Release : 2013-07-25
File : 453 Pages
ISBN-13 : 9780521138604


Recent Findings In Boolean Techniques

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This book describes recent findings in the domain of Boolean logic and Boolean algebra, covering application domains in circuit and system design, but also basic research in mathematics and theoretical computer science. Content includes invited chapters and a selection of the best papers presented at the 14th annual International Workshop on Boolean Problems.

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Genre : Technology & Engineering
Author : Rolf Drechsler
Publisher : Springer Nature
Release : 2021-04-29
File : 198 Pages
ISBN-13 : 9783030680718


Logic Without Borders

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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.

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Genre : Philosophy
Author : Åsa Hirvonen
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2015-03-10
File : 385 Pages
ISBN-13 : 9781614519324


Automorphisms And Equivalence Relations In Topological Dynamics

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A lucid and self-contained treatment of many key ideas in topological dynamics, achieved by focusing on equivalence relations and automorphisms.

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Genre : Mathematics
Author : David B. Ellis
Publisher : Cambridge University Press
Release : 2014-06-05
File : 283 Pages
ISBN-13 : 9781107633223


Surveys In Combinatorics 2013

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This volume contains nine survey articles based on the invited lectures given at the 24th British Combinatorial Conference, held at Royal Holloway, University of London in July 2013. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory, matroid theory and automatic counting, as well as connections to coding theory and Bent functions. Each article is clearly written and assumes little prior knowledge on the part of the reader. The authors are some of the world's foremost researchers in their fields, and here they summarise existing results and give a unique preview of cutting-edge developments. The book provides a valuable survey of the present state of knowledge in combinatorics, and will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.

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Genre : Mathematics
Author : Simon R. Blackburn
Publisher : Cambridge University Press
Release : 2013-06-27
File : 387 Pages
ISBN-13 : 9781107276932


Moduli Spaces

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A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

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Genre : Mathematics
Author : Leticia Brambila
Publisher : Cambridge University Press
Release : 2014-03-13
File : 347 Pages
ISBN-13 : 9781107636385