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Automata, Graphs and Logic
Author: D. Gnanaraj Thomas
Publisher:
Published: 2019-10-23
Total Pages: 250
ISBN-13: 9788184876499
DOWNLOAD EBOOK →Automata, graphs, and logic are three key areas of current research in theoretical computer science and discrete mathematics. This book addresses important issues like automata and verification, automata and computational complexity, connections among automata, logic and graphs, applications of logic in software testing and certain interesting results on these topics. Exhibiting interconnections among these topics are of great benefit to the students, teachers and research community.
Graph Structure and Monadic Second-Order Logic
Author: Bruno Courcelle
Publisher: Cambridge University Press
Published: 2012-06-14
Total Pages: 743
ISBN-13: 1139644009
DOWNLOAD EBOOK →The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling them to be constructed out of more basic elements. Separately the properties of graphs can be studied in a logical language called monadic second-order logic. In this book, these two features of graph structure are brought together for the first time in a presentation that unifies and synthesizes research over the last 25 years. The authors not only provide a thorough description of the theory, but also detail its applications, on the one hand to the construction of graph algorithms, and, on the other to the extension of formal language theory to finite graphs. Consequently the book will be of interest to graduate students and researchers in graph theory, finite model theory, formal language theory, and complexity theory.
Logic and Automata
Author: Jörg Flum
Publisher: Amsterdam University Press
Published: 2008
Total Pages: 737
ISBN-13: 9053565760
DOWNLOAD EBOOK →Mathematical logic and automata theory are two scientific disciplines with a fundamentally close relationship. The authors of Logic and Automata take the occasion of the sixtieth birthday of Wolfgang Thomas to present a tour d’horizon of automata theory and logic. The twenty papers in this volume cover many different facets of logic and automata theory, emphasizing the connections to other disciplines such as games, algorithms, and semigroup theory, as well as discussing current challenges in the field.
Elements of Finite Model Theory
Author: Leonid Libkin
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 320
ISBN-13: 3662070030
DOWNLOAD EBOOK →Emphasizes the computer science aspects of the subject. Details applications in databases, complexity theory, and formal languages, as well as other branches of computer science.
Graph Structure and Monadic Second-Order Logic
Author: Bruno Courcelle
Publisher: Cambridge University Press
Published: 2012-06-14
Total Pages: 743
ISBN-13: 0521898331
DOWNLOAD EBOOK →The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling them to be constructed out of more basic elements. Separately the properties of graphs can be studied in a logical language called monadic second-order logic. In this book, these two features of graph structure are brought together for the first time in a presentation that unifies and synthesizes research over the last 25 years. The authors not only provide a thorough description of the theory, but also detail its applications, on the one hand to the construction of graph algorithms, and, on the other to the extension of formal language theory to finite graphs. Consequently the book will be of interest to graduate students and researchers in graph theory, finite model theory, formal language theory, and complexity theory.
FST TCS 2003: Foundations of Software Technology and Theoretical Computer Science
Author: Paritosh K Pandya
Publisher: Springer Science & Business Media
Published: 2003-12-03
Total Pages: 457
ISBN-13: 3540206809
DOWNLOAD EBOOK →This book constitutes the refereed proceedings of the 23rd Conference on Foundations of Software Technology and Theoretical Computer Science, FST TCS 2003, held in Mumbai, India in December 2003. The 23 revised full papers presented together with 4 invited papers and the abstract of an invited paper were carefully reviewed and selected from 160 submissions. A broad variety of current topics from the theory of computing are addressed, ranging from algorithmics and discrete mathematics to logics and programming theory.
Automata, Logics, and Infinite Games
Author: Erich Grädel
Publisher: Springer
Published: 2003-08-02
Total Pages: 377
ISBN-13: 3540363874
DOWNLOAD EBOOK →A central aim and ever-lasting dream of computer science is to put the development of hardware and software systems on a mathematical basis which is both firm and practical. Such a scientific foundation is needed especially for the construction of reactive programs, like communication protocols or control systems. For the construction and analysis of reactive systems an elegant and powerful theory has been developed based on automata theory, logical systems for the specification of nonterminating behavior, and infinite two-person games. The 19 chapters presented in this multi-author monograph give a consolidated overview of the research results achieved in the theory of automata, logics, and infinite games during the past 10 years. Special emphasis is placed on coherent style, complete coverage of all relevant topics, motivation, examples, justification of constructions, and exercises.
Well-Quasi Orders in Computation, Logic, Language and Reasoning
Author: Peter M. Schuster
Publisher: Springer Nature
Published: 2020-01-01
Total Pages: 391
ISBN-13: 3030302296
DOWNLOAD EBOOK →This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos. This highly active branch of combinatorics is deeply rooted in and between many fields of mathematics and logic, including proof theory, commutative algebra, braid groups, graph theory, analytic combinatorics, theory of relations, reverse mathematics and subrecursive hierarchies. As a unifying concept for slick finiteness or termination proofs, wqos have been rediscovered in diverse contexts, and proven to be extremely useful in computer science. The book introduces readers to the many facets of, and recent developments in, wqos through chapters contributed by scholars from various fields. As such, it offers a valuable asset for logicians, mathematicians and computer scientists, as well as scholars and students.
Handbook of Formal Languages
Author: Grzegorz Rozenberg
Publisher: Springer Science & Business Media
Published: 1997
Total Pages: 654
ISBN-13: 9783540606499
DOWNLOAD EBOOK →This third volume of the Handbook of Formal Languages discusses language theory beyond linear or string models: trees, graphs, grids, pictures, computer graphics. Many chapters offer an authoritative self-contained exposition of an entire area. Special emphasis is on interconnections with logic.
