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Author: Bruno Courcelle
Publisher: Cambridge University Press
ISBN: 1139644009
Category : Mathematics
Languages : en
Pages : 743
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Book Description
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.
Author: Bruno Courcelle
Publisher: Cambridge University Press
ISBN: 1139644009
Category : Mathematics
Languages : en
Pages : 743
Get Book Here
Book Description
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.
Author: Bruno Courcelle
Publisher: Cambridge University Press
ISBN: 0521898331
Category : Mathematics
Languages : en
Pages : 743
Get Book Here
Book Description
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.
Author: Hartmut Ehrig
Publisher: World Scientific
ISBN: 9789810240219
Category : Mathematics
Languages : en
Pages : 480
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Book Description
Graph grammars originated in the late 60s, motivated by considerations about pattern recognition and compiler construction. Since then, the list of areas which have interacted with the development of graph grammars has grown quite impressively. Besides the aforementioned areas, it includes software specification and development, VLSI layout schemes, database design, modeling of concurrent systems, massively parallel computer architectures, logic programming, computer animation, developmental biology, music composition, visual languages, and many others. The area of graph grammars and graph transformations generalizes formal language theory based on strings and the theory of term rewriting based on trees. As a matter of fact, within the area of graph grammars, graph transformation is considered a fundamental computation paradigm where computation includes specification, programming, and implementation. Over the last three decades, graph grammars have developed at a steady pace into a theoretically attractive and important-for-applications research field. Volume 3 of the 'indispensable Handbook of' Graph Grammars and Computing by Graph Transformations presents the research on concurrency, parallelism, and distribution -- important paradigms of modern science. The topics considered include semantics for concurrent systems, modeling of concurrency, mobile and coordinated systems, algebraic specifications, Petri nets, visual design of distributed systems, and distributed algorithms. The contributions have been written in a tutorial/survey style by the top experts.
Author: Leonid Libkin
Publisher: Springer Science & Business Media
ISBN: 3662070030
Category : Mathematics
Languages : en
Pages : 320
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Book Description
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.
Author: Annegret Habel
Publisher: Springer Science & Business Media
ISBN: 9783540560050
Category : Computers
Languages : en
Pages : 236
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Book Description
The area of graph grammars is theoretically attractive and well motivated byvarious applications. More than 20 years ago, the concept of graph grammars was introduced by A. Rosenfeld as a formulation of some problems in pattern recognition and image processing, as well as by H.J. Schneider as a method for data type specification. Within graph-grammar theory one maydistinguish the set-theoretical approach, the algebraic approach, and the logical approach. These approaches differ in the method in which graph replacement is described. Specific approaches, node replacement and hyperedge replacement, concern the basic units of a hypergraph, nodes and hyperedges. This monograph is mainly concerned with the hyperedge-replacement approach. Hyperedge-replacement grammars are introduced as a device for generating hypergraph languages including graph languages and string languages. The concept combines a context-free rewriting with a comparatively large generative power. The volume includes a foreword by H. Ehrig.
Author: F. Hamm
Publisher: Springer Science & Business Media
ISBN: 9401727066
Category : Language Arts & Disciplines
Languages : en
Pages : 386
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Book Description
The papers in this volume address central issues in the study of Plurality and Quantification from three different perspectives: • Algebraic approaches to Plurals and Quantification • Distributivity and Collectivity: Theoretical Foundations • Distributivity and Collectivity: Empirical Investigations Algebraic approaches to the semantics of natural languages were in dependently introduced for the study of generalized quantification, pred ication, intensionality, mass terms and plurality. The most prominent modern advocate for an algebraic theory of plurality (and mass terms) is certainly Godehard Link. It is indicative of the Wirkungsgeschichte of Link's work that most of the contributions in this volume take the logic of plurals proposed by Godehard Link (Link 1983, 1987) as their foundation or, at the very least, as their point of reference. Link's own paper in this volume provides a concise summary of many of the central research issues that have engaged semanticists during the last decade. Link's paper also contains an extensive bibliography that provides an excellent resource for scholars interested in the semantics of plurals. Since we can refer readers to Link's paper for an excellent survey of the subject matter of this book, we will limit our attention in this in troduction to summarizing the individual contributions in this volume. The book is organized into three main sections; within each section the papers are ordered alphabetically. However, as in much of linguistic the orizing, there is an exception: for reasons pointed out above, Godehard Link's article appears as Chapter 1.
Author: Jörg Flum
Publisher: Amsterdam University Press
ISBN: 9053565760
Category : Mathematics
Languages : en
Pages : 737
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Book Description
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.
Author: Joel Spencer
Publisher: Springer Science & Business Media
ISBN: 3662045389
Category : Mathematics
Languages : en
Pages : 167
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Book Description
The study of random graphs was begun in the 1960s and now has a comprehensive literature. This excellent book by one of the top researchers in the field now joins the study of random graphs (and other random discrete objects) with mathematical logic. The methodologies involve probability, discrete structures and logic, with an emphasis on discrete structures.
Author: Hartmut Ehrig
Publisher: Springer
ISBN: 3540302034
Category : Mathematics
Languages : en
Pages : 462
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Book Description
ICGT 2004 was the 2nd International Conference on Graph Transformation, following the first one in Barcelona (2002), and a series of six international workshops on graph grammars with applications in computer science between 1978 and 1998. ICGT 2004 was held in Rome (Italy), Sept. 29-Oct. 1, 2004 under the auspices of the European Association for Theoretical Computer Science (EATCS), the European Association of Software Science and Technology (EASST), and the IFIP WG 1.3, Foundations of Systems Specification. The scope of the conference concerned graphical structures of various kinds (like graphs, diagrams, visual sentences and others) that are useful when describing complex structures and systems in a direct and intuitive way. These structures are often augmented with formalisms that add to the static description a further dimension, allowing for the modelling of the evolution of systems via all kinds of transformations of such graphical structures. The field of graph transformation is concerned with the theory, applications, and implementation issues of such formalisms. The theory is strongly related to areas such as graph theory and graph algorithms, formal language and parsing theory, the theory of concurrent and distributed systems, formal specification and verification, logic, and semantics. The application areas include all those fields of computer science, information processing,engineering,and the natural sciences where static and dynamic m- elling using graphical structures and graph transformations, respectively, play important roles. In many of these areas tools based on graph transformation technology have been implemented and used
Author: Dirk van Dalen
Publisher: Springer Science & Business Media
ISBN: 3662023822
Category : Mathematics
Languages : en
Pages : 218
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Book Description
New corrected printing of a well-established text on logic at the introductory level.
