Descriptive Complexity
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Descriptive Complexity
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Author : Neil Immerman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Descriptive Complexity written by Neil Immerman 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 Computers categories.
By virtue of the close relationship between logic and relational databases, it turns out that complexity has important applications to databases such as analyzing the parallel time needed to compute a query, and the analysis of nondeterministic classes. This book is a relatively self-contained introduction to the subject, which includes the necessary background material, as well as numerous examples and exercises.
Descriptive Complexity And Finite Models
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Author : Neil Immerman
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-01-01
Descriptive Complexity And Finite Models written by Neil Immerman 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 1997-01-01 with Computers categories.
This volume presents articles by leading researchers who delivered talks at the "Workshop on Finite Models and Descriptive Complexity" at Princeton in January 1996 during a DIMACS sponsored Special Year on Logic and Algorithms. Each article is self-contained and provides a valuable introduction to the featured research areas connected with finite model theory.
Small Dynamic Complexity Classes
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Author : Thomas Zeume
language : en
Publisher: Springer
Release Date : 2017-02-15
Small Dynamic Complexity Classes written by Thomas Zeume and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-15 with Computers categories.
"Small Dynamic Complexity Classes" was awarded the E.W. Beth Dissertation Prize 2016 for outstanding dissertations in the fields of logic, language, and information. The thesis studies the foundations of query re-evaluation after modifying a database. It explores the structure of small dynamic descriptive complexity classes and provides new methods for proving lower bounds in this dynamic context. One of the contributions to the former aspect helped to confirm the conjecture by Patnaik and Immerman (1997) that reachability can be maintained by first-order update formulas.
Descriptive Complexity Canonisation And Definable Graph Structure Theory
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Author : Martin Grohe
language : en
Publisher: Cambridge University Press
Release Date : 2017-08-17
Descriptive Complexity Canonisation And Definable Graph Structure Theory written by Martin Grohe 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 2017-08-17 with Computers categories.
This groundbreaking, yet accessible book explores the interaction between graph theory and computational complexity using methods from finite model theory.
Investigations In The Theory Of Descriptive Complexity
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Author : William L. Gewirtz
language : en
Publisher: Palala Press
Release Date : 2018-03-02
Investigations In The Theory Of Descriptive Complexity written by William L. Gewirtz and has been published by Palala Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-02 with categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Investigations In The Theory Of Descriptive Complexity Classic Reprint
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Author : William L. Gewirtz
language : en
Publisher:
Release Date : 2015-08-04
Investigations In The Theory Of Descriptive Complexity Classic Reprint written by William L. Gewirtz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-04 with Mathematics categories.
Excerpt from Investigations in the Theory of Descriptive Complexity Introduction; 1. Fundamental Notations, Definitions and Results of Descriptive Complexity; 1.1 Notational Conventions; 1.2 Fundamental Definitions and Results of the Kolmogorov Formulations; 1.3 Chaitin's Formulation of Descriptive Complexity; 1.4 Elementary Theorems Relating the Kolmogorov and Chaitin Formulations; 1.5 Recursive and Recursively Enumerable Sequences; 2. Infinite Random Sequences; 2.1 Basic Definitions and Results of the Kolmogorov Formulation; 2.2 Chaitin's Proposed Definitions; 2.3 A Definition Based on Chaitin's Formulation; 2.4 Recursive and Recursively Enumerable Subsequences; 3. An Analysis Of K(s/s); 3.1 The Set of Optimal Programs; 3.2 K(s/s) 5. Subrecursive Formulations Of Descriptive Complexity; 5.1 Introduction and Fundamental Definitions; 5.3 A Hierarchy of Random Sequences; 5.4 The Maximum Grzegorczyk Level of All Programs of Length Less than n; 5.5 The Longest String of Complexity Less than n; Notes; Bibliography About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Descriptive Complexity And Finite Models
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Author : Neil Immerman
language : en
Publisher:
Release Date : 1997
Descriptive Complexity And Finite Models written by Neil Immerman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computational complexity categories.
"We hope that this small volume will suggest directions of synergy and contact for future researchers to build upon, creating connections and making discoveries that will help explain some of the many mysteries of computation."--The Preface Finite model theory can be succinctly described as the study of logics on finite structures. It is an area of research existing between mathematical logic and computer science. This area has been developing through continuous interaction with computational complexity, database theory, and combinatorics. The volume presents articles by leading researche.
Descriptive Set Theoretic Methods In Automata Theory
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Author : Michał Skrzypczak
language : en
Publisher: Springer
Release Date : 2016-08-05
Descriptive Set Theoretic Methods In Automata Theory written by Michał Skrzypczak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-05 with Mathematics categories.
The book is based on the PhD thesis “Descriptive Set Theoretic Methods in Automata Theory,” awarded the E.W. Beth Prize in 2015 for outstanding dissertations in the fields of logic, language, and information. The thesis reveals unexpected connections between advanced concepts in logic, descriptive set theory, topology, and automata theory and provides many deep insights into the interplay between these fields. It opens new perspectives on central problems in the theory of automata on infinite words and trees and offers very impressive advances in this theory from the point of view of topology. "...the thesis of Michał Skrzypczak offers certainly what we expect from excellent mathematics: new unexpected connections between a priori distinct concepts, and proofs involving enlightening ideas.” Thomas Colcombet.
Algebraic Computability And Enumeration Models
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Author : Cyrus F. Nourani
language : en
Publisher: CRC Press
Release Date : 2016-02-24
Algebraic Computability And Enumeration Models written by Cyrus F. Nourani and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-24 with Mathematics categories.
This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint. The reader is first introduced to categories and functorial models, with Kleene algebra examples for languages. Functorial models for Peano arithmetic are described toward important computational complexity areas on a Hilbert program, leading to computability with initial models. Infinite language categories are also introduced to explain descriptive complexity with recursive computability with admissible sets and urelements. Algebraic and categorical realizability is staged on several levels, addressing new computability questions with omitting types realizably. Further applications to computing with ultrafilters on sets and Turing degree computability are examined. Functorial models computability is presented with algebraic trees realizing intuitionistic types of models. New homotopy techniques are applied to Marin Lof types of computations with model categories. Functorial computability, induction, and recursion are examined in view of the above, presenting new computability techniques with monad transformations and projective sets. This informative volume will give readers a complete new feel for models, computability, recursion sets, complexity, and realizability. This book pulls together functorial thoughts, models, computability, sets, recursion, arithmetic hierarchy, filters, with real tree computing areas, presented in a very intuitive manner for university teaching, with exercises for every chapter. The book will also prove valuable for faculty in computer science and mathematics.
Linguistic Complexity
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Author : Bernd Kortmann
language : en
Publisher: Walter de Gruyter
Release Date : 2012-05-29
Linguistic Complexity written by Bernd Kortmann and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-29 with Foreign Language Study categories.
Linguistic complexity is one of the currently most hotly debated notions in linguistics. The essays in this volume reflect the intricacies of thinking about the complexity of languages and language varieties (here: of English) in three major contact-related fields of (and schools in) linguistics: creolistics, indigenization and nativization studies (i.e. in the realm of English linguistics, the “World Englishes” community), and Second Language Acquisition (SLA) research: How can we adequately assess linguistic complexity? Should we be interested in absolute complexity or rather relative complexity? What is the extent to which language contact and/or (adult) language learning might lead to morphosyntactic simplification? The authors in this volume are all leading linguists in different areas of specialization, and they were asked to elaborate on those facets of linguistic complexity which are most relevant in their area of specialization, and/or which strike them as being most intriguing. The result is a collection of papers that is unique in bringing together leading representatives of three often disjunct fields of linguistic scholarship in which linguistic complexity is seen as a dynamic and inherently variable parameter.