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Book
Fundamentals of algebraic graph transformation
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ISBN: 128062583X 9786610625833 3540311882 Year: 2006 Publisher: Berlin : Springer-Verlag,

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Abstract

Graphs are widely used to represent structural information in the form of objects and connections between them. Graph transformation is the rule-based manipulation of graphs, an increasingly important concept in computer science and related fields. This is the first textbook treatment of the algebraic approach to graph transformation, based on algebraic structures and category theory. Part I is an introduction to the classical case of graph and typed graph transformation. In Part II basic and advanced results are first shown for an abstract form of replacement systems, so-called adhesive high-level replacement systems based on category theory, and are then instantiated to several forms of graph and Petri net transformation systems. Part III develops typed attributed graph transformation, a technique of key relevance in the modeling of visual languages and in model transformation. Part IV contains a practical case study on model transformation and a presentation of the AGG (attributed graph grammar) tool environment. Finally the appendix covers the basics of category theory, signatures and algebras. The book addresses both research scientists and graduate students in computer science, mathematics and engineering.

Keywords

Graph grammars. --- Computer science --- Mathematics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Grammars, Graph --- Formal languages --- Graph theory --- Mathematics --- Information theory. --- Computer science. --- Logic design. --- Theory of Computation. --- Programming Languages, Compilers, Interpreters. --- Programming Techniques. --- Computation by Abstract Devices. --- Logics and Meanings of Programs. --- Mathematical Logic and Formal Languages. --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- Informatics --- Science --- Communication theory --- Communication --- Cybernetics --- Computers. --- Programming languages (Electronic computers). --- Computer programming. --- Computer logic. --- Mathematical logic. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Computer science logic --- Logic, Symbolic and mathematical --- Computers --- Electronic computer programming --- Electronic digital computers --- Programming (Electronic computers) --- Coding theory --- Computer languages --- Computer program languages --- Computer programming languages --- Machine language --- Languages, Artificial --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Calculators --- Cyberspace --- Programming


Book
Graph Transformations : 4th International Conference, ICGT 2008, Leicester, United Kingdom, September 7-13, 2008, Proceedings
Authors: ---
ISBN: 3540874054 3540874046 Year: 2008 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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This book constitutes the refereed proceedings of the 4th International Conference on Graph Transformations, ICGT 2008, held in Leicester, UK, in September 2008. The 27 revised full papers presented together with 5 tutorial and workshop papers and 3 invited lectures were carefully selected from 57 submissions. All current aspects in graph drawing are addressed including hypergraphs and termgraph rewriting, applications of graph transformation, execution of graph transformations, compositional systems, validation and verification, graph languages and special transformation concepts, as well as patterns and model transformations. In addition the volume contains 17 short papers of the ICGT 2008 Doctoral Symposium.


Book
Analysis and correctness of algebraic graph and model transformations
Authors: ---
ISBN: 3834814938 3834899348 Year: 2011 Publisher: Wiesbaden : Springer Fachmedien,

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Graph and model transformations play a central role for visual modeling and model-driven software development. Within the last decade, a mathematical theory of algebraic graph and model transformations has been developed for modeling, analysis, and to show the correctness of transformations. Ulrike Golas extends this theory for more sophisticated applications like the specification of syntax, semantics, and model transformations of complex models. Based on M-adhesive transformation systems, model transformations are successfully analyzed regarding syntactical correctness, completeness, functional behavior, and semantical simulation and correctness. The developed methods and results are applied to the non-trivial problem of the specification of syntax and operational semantics for UML statecharts and a model transformation from statecharts to Petri nets preserving the semantics.


Book
Graph transformations : 6th International Conference, ICGT 2012, Bremen, Germany, September 24-29, 2012. Proceedings
Authors: ---
ISSN: 03029743 ISBN: 3642336531 364233654X Year: 2012 Volume: 7562 Publisher: Berlin ; New York : Springer,

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This book constitutes the proceedings of the 6th International Conference on Graph Transformations, ICGT 2012, held in Bremen, Germany, in September 2012. The 30 papers and 3 invited papers presented were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on behavioural analysis, high-level graph transformation, revisited approaches, general transformation models, structuring and verification, graph transformations in use, (meta-)model evolution and incremental approaches.

Keywords

Graph theory --- Computer science --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Algebra --- Computer Science --- Data processing --- Graphs, Theory of --- Theory of graphs --- Extremal problems --- Computer science. --- Software engineering. --- Data structures (Computer science). --- Algorithms. --- Computer logic. --- Mathematical logic. --- Computer Science. --- Discrete Mathematics in Computer Science. --- Software Engineering. --- Data Structures. --- Logics and Meanings of Programs. --- Algorithm Analysis and Problem Complexity. --- Mathematical Logic and Formal Languages. --- Mathematics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Computer science logic --- Logic, Symbolic and mathematical --- Algorism --- Arithmetic --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- File organization (Computer science) --- Abstract data types (Computer science) --- Computer software engineering --- Engineering --- Informatics --- Science --- Foundations --- Combinatorial analysis --- Topology --- Computational complexity. --- Data structures (Computer scienc. --- Logic design. --- Computer software. --- Data structures (Computer science) --- Software, Computer --- Computer systems --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- Complexity, Computational --- Computer science—Mathematics. --- Discrete mathematics. --- Artificial intelligence—Data processing. --- Machine theory. --- Data Science. --- Computer Science Logic and Foundations of Programming. --- Formal Languages and Automata Theory. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis


Book
Kategorien und Automaten
Authors: ---
ISBN: 3110039028 Year: 1972 Publisher: Berlin de Gruyter

Fundamentals of algebraic specification
Authors: ---
ISBN: 3540517995 3540137181 0387137181 0387517995 3642647766 3642612849 3642699642 3642699626 9780387137186 9783540137184 9783540517993 Year: 1985 Volume: 21 Publisher: Berlin : Springer-Verlag,

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Keywords

Algebra --- Data structures (Computer science) --- Structures de données (Informatique) --- 681.3*F32 --- 681.3*F43 --- Semantics of programming languages: algebraic approaches to semantics denotational semantics operational semantics (Logics and meanings of programs)--See also {681.3*D31} --- Formal languages: algebraic language theory classes defined by grammars or automata or by resource-bounded automata operations on languages (Mathematical logic and formal languages)--See also {681.3*D31} --- 681.3*F43 Formal languages: algebraic language theory classes defined by grammars or automata or by resource-bounded automata operations on languages (Mathematical logic and formal languages)--See also {681.3*D31} --- 681.3*F32 Semantics of programming languages: algebraic approaches to semantics denotational semantics operational semantics (Logics and meanings of programs)--See also {681.3*D31} --- 681.3*F43 Formal languages: algebraic language theory; classes defined by grammars or automata or by resource-bounded automata; operations on languages (Mathematical logic and formal languages)--See also {681.3*D31} --- Formal languages: algebraic language theory; classes defined by grammars or automata or by resource-bounded automata; operations on languages (Mathematical logic and formal languages)--See also {681.3*D31} --- 681.3*F32 Semantics of programming languages: algebraic approaches to semantics; denotational semantics; operational semantics (Logics and meanings of programs)--See also {681.3*D31} --- Semantics of programming languages: algebraic approaches to semantics; denotational semantics; operational semantics (Logics and meanings of programs)--See also {681.3*D31} --- Programming --- Computer science --- Data structures (Computer science). --- Algebra. --- Software engineering --- Specification


Book
Algebraic specification of modules
Authors: ---
Year: 1985 Publisher: Dortmund Universität Dortmund. Fachbereich Informatik

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Book
Specification of modular systems
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Year: 1985 Publisher: Dortmund Universität Dortmund. Fachbereich Informatik

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Book
Kategorien und Automate
Authors: ---
ISBN: 311083202X Year: 2018 Publisher: Berlin ; Boston : De Gruyter,

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Recent trends in data type specification. 9th workshop on specification of abstract data types joint with the 4th COMPASS workshop, Caldes de Malavella, Spain, October 92. Proceedings
Authors: ---
ISBN: 0387578676 Year: 1994 Publisher: Berlin : Springer-Verlag,

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