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Semirings: Algebraic Theory And Applications In Computer Science
This book provides an introduction to the algebraic theory of semirings and, in this context, to basic algebraic concepts as e.g. semigroups, lattices and rings. It includes an algebraic theory of infinite sums as well as a detailed treatment of several applications in theoretical computer science. Complete proofs, various examples and exercises (some of them with solutions) make the book suitable for self-study. On the other hand, a more experienced reader who looks for information about the most common concepts and results on semirings will find cross-references throughout the book, a comprehensive bibliography and various hints to it.
Semirings and Affine Equations over Them
Semiring theory stands with a foot in each of two mathematical domains. The first being abstract algebra and the other the fields of applied mathematics such as optimization theory, the theory of discrete-event dynamical systems, automata theory, and formal language theory, as well as from the allied areas of theoretical computer science and theoretical physics. Most important applications of semiring theory in these areas turn out to revolve around the problem of finding the equalizer of a pair of affine maps between two semimodules. In this volume, we chart the state of the art on solving this problem, and present many specific cases of applications. This book is essentially the third part...
Conceptual Structures at Work
This volume contains selected papers presented at the 12th International C- ference on Conceptual Structures, ICCS 2004, held in Huntsville Alabama, July 19–23, 2004. The main theme of the conference, “Conceptual Structures at Work”, was chosen to express our intention of applying conceptual structures for hum- centered practical purposes. That invites us to develop not only clear conceptual theories,butalsomethodstosupporthumansintheapplicationofthesetheories in their societies. Some promising steps in this direction are being taken, but the gap between the researchers working on a highly sophisticated level on one side and the practitioners in many ?elds of applications on the other ...
Conceptual Structures for Knowledge Creation and Communication
This volume contains the proceedings of ICCS 2003, the 11th International C- ferenceonConceptualStructures. Thisconferenceseriescontinuestobethemain forum for the presentation and discussion of state-of-the-art research on conc- tualstructures. Thetheories,methodologies,andtechniquespresentedherehave grown considerably in scope in recent years. On the other hand, solid bridges spanning the boundaries between such diverse ?elds as Conceptual Graphs, F- mal Concept Analysis, and others are increasingly being built in our community. The theme of this year’s conference was “Conceptual Structures for Kno- edge Creation and Communication”. In our increasingly (Inter)networked world, the pote...
Conceptual Structures: From Information to Intelligence
This book constitutes the proceedings of the 18th International Conference on Conceptual Structures, ICCS 2010, held in Kuching, Sarawak, Malaysia, in July 2010. The 12 full papers and 6 posters presented were carefully reviewed and selected from 36 submissions. The volume also contains 5 invited talks. Originally centered around research on knowledge representation and reasoning with conceptual graphs, over the years ICCS has broadened its scopt to include innovations from a wider range of theories and related practices, among them other forms of graph-based formalisms like RDF or existential graphs, formal concept analysis, semantic Web technologies, ontologies, concept mapping and more.
Semirings and their Applications
There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world. - Nikolai Ivanovich Lobatchevsky This book is an extensively-revised and expanded version of "The Theory of Semirings, with Applicationsin Mathematics and Theoretical Computer Science" [Golan, 1992], first published by Longman. When that book went out of print, it became clear - in light of the significant advances in semiring theory over the past years and its new important applications in such areas as idempotent analysis and the theory of discrete-event dynamical systems - that a second edition incorporating minor changes would not be sufficient and that a major revision ...
Conceptual Structures: Knowledge Visualization and Reasoning
This book constitutes the refereed proceedings of the 16th International Conference on Conceptual Structures, ICCS 2008, held in Toulouse, France, in July 2008. The 19 revised full papers presented together with 2 invited papers were carefully reviewed and selected from over 70 submissions. The scope of the contributions ranges from theoretical and methodological topics to implementation issues and applications. The papers present a family of Conceptual Structure approaches that build on techniques derived from artificial intelligence, knowledge representation, applied mathematics and lattice theory, computational linguistics, conceptual modeling, intelligent systems and knowledge management.
Conceptual Structures: Knowledge Architectures for Smart Applications
Researchers and professionals in the relevant fields will find this book a must-read, as it defines the leading edge of current research into conceptual structures. It constitutes the refereed proceedings of the 15th International Conference on Conceptual Structures, held in Sheffield, UK in July 2007. With almost 50 papers contained in its 500 pages, it includes a special focus on the application of conceptual structures in business and technological settings and is organized into topical sections for ease of reference.
Text Resources and Lexical Knowledge
This book contains selected state-of-the-art contributions to the 9th conference on natural language processing, KONVENS 2008 (Konferenz zur Verarbeitung natürlicher Sprache), with the central theme: text resources and lexical knowledge. The collection is unique in its placement of focus on the interaction between both of the above-mentioned fields, illustrating in particular the importance of methods in corpus linguistics for building lexical resources on the one hand, and the relevance of lexical resources for the analysis of and intelligent search methods for text corpora on the other. The selected articles all present novel approaches to one of three different research areas which in turn define the three parts of the book: Techniques and models for the linguistic analysis of text resources: contributions from computational linguistics Methods and tools for the acquisition of lexical knowledge from digitized and linguistically annotated text resources Approaches to the representation of lexical knowledge in digital media for various purposes.
