Author: Frithjof Dau Publisher: Springer Science & Business Media ISBN: 3540206078 Category : Computers Languages : en Pages : 219
Book Description
The aim of contextual logic is to provide a formal theory of elementary logic, which is based on the doctrines of concepts, judgements, and conclusions. Concepts are mathematized using Formal Concept Analysis (FCA), while an approach to the formalization of judgements and conclusions is conceptual graphs, based on Peirce's existential graphs. Combining FCA and a mathematization of conceptual graphs yields so-called concept graphs, which offer a formal and diagrammatic theory of elementary logic. Expressing negation in contextual logic is a difficult task. Based on the author's dissertation, this book shows how negation on the level of judgements can be implemented. To do so, cuts (syntactical devices used to express negation) are added to concept graphs. As we can express relations between objects, conjunction and negation in judgements, and existential quantification, the author demonstrates that concept graphs with cuts have the expressive power of first-order predicate logic. While doing so, the author distinguishes between syntax and semantics, and provides a sound and complete calculus for concept graphs with cuts. The author's treatment is mathematically thorough and consistent, and the book gives the necessary background on existential and conceptual graphs.
Author: Frithjof Dau Publisher: Springer ISBN: 3540400621 Category : Mathematics Languages : en Pages : 216
Book Description
The aim of contextual logic is to provide a formal theory of elementary logic, which is based on the doctrines of concepts, judgements, and conclusions. Concepts are mathematized using Formal Concept Analysis (FCA), while an approach to the formalization of judgements and conclusions is conceptual graphs, based on Peirce's existential graphs. Combining FCA and a mathematization of conceptual graphs yields so-called concept graphs, which offer a formal and diagrammatic theory of elementary logic. Expressing negation in contextual logic is a difficult task. Based on the author's dissertation, this book shows how negation on the level of judgements can be implemented. To do so, cuts (syntactical devices used to express negation) are added to concept graphs. As we can express relations between objects, conjunction and negation in judgements, and existential quantification, the author demonstrates that concept graphs with cuts have the expressive power of first-order predicate logic. While doing so, the author distinguishes between syntax and semantics, and provides a sound and complete calculus for concept graphs with cuts. The author's treatment is mathematically thorough and consistent, and the book gives the necessary background on existential and conceptual graphs.
Author: Karl Erich Wolff Publisher: Springer ISBN: 3540277692 Category : Computers Languages : en Pages : 412
Book Description
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 side is usually di?culttobridge.Someofushaveexperiencesinsuchpracticalcooperation,but we need more members of our community to be engaged in “real life problems”. We all know that solutions of complex problems in practice require not only a well-developed formal theory, but also an understanding of the whole context of the given problems. To support our understanding we need general philo- phical methods as well as formal theories for the representation of fundamental structures in practice. We believe that our community has powerful tools and methodsforsuccessfulapplicationsinpractice,butthatwemustdevelopaforum to present our results to a broader audience. First we must understand the s- ni?cant developments in our own group, which has activities in many directions of research.
Author: Peter Eklund Publisher: Springer ISBN: 3540705961 Category : Computers Languages : en Pages : 311
Book Description
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.
Author: Sébastien Ferré Publisher: Springer Science & Business Media ISBN: 3642018149 Category : Computers Languages : en Pages : 350
Book Description
This book constitutes the refereed proceedings of the 7th International Conference on Formal Concept Analysis, ICFCA 2009, held in Darmstadt, Germany, in May 2009. The 15 revised full papers presented were carefully reviewed and selected from 29 submissions for inclusion in the book. The papers comprise state of the art research and present new results in Formal Concept Analysis and related fields. These results range from theoretical novelties to advances in FCA-related algorithmic issues, as well as application domains of FCA such as data visualization, information retrieval, machine learning, data analysis and knowledge management.
Author: Uta Priss Publisher: Springer ISBN: 3540736816 Category : Computers Languages : en Pages : 514
Book Description
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.
Author: Henrik Schärfe Publisher: Springer ISBN: 3540359028 Category : Computers Languages : en Pages : 460
Book Description
This book constitutes the refereed proceedings of the 14th International Conference on Conceptual Structures, ICCS 2006, held in Aalborg, Denmark in July 2006. The volume presents 24 revised full papers, together with 6 invited papers. The papers address topics such as conceptual structures; their interplay with language, semantics and pragmatics; formal methods for concept analysis and contextual logic, modeling, representation, and visualization of concepts; conceptual knowledge acquisition and more.
Author: Peter Eklund Publisher: Springer ISBN: 3540246517 Category : Mathematics Languages : en Pages : 418
Book Description
This volume contains the Proceedings of ICFCA 2004, the 2nd International Conference on Formal Concept Analysis. The ICFCA conference series aims to be the premier forum for the publication of advances in applied lattice and order theory and in particular scienti?c advances related to formal concept analysis. Formal concept analysis emerged in the 1980s from e?orts to restructure lattice theory to promote better communication between lattice theorists and potentialusersoflatticetheory.Sincethen,the?eldhasdevelopedintoagrowing research area in its own right with a thriving theoretical community and an increasing number of applications in data and knowledge processing including data visualization, information retrieval, machine learning, data analysis and knowledge management. In terms of theory, formal concept analysis has been extended into attribute exploration, Boolean judgment, contextual logic and so on to create a powerful general framework for knowledge representation and reasoning. This conference aims to unify theoretical and applied practitioners who use formal concept an- ysis, drawing on the ?elds of mathematics, computer and library sciences and software engineering. The theme of the 2004 conference was ‘Concept Lattices” to acknowledge the colloquial term used for the line diagrams that appear in almost every paper in this volume. ICFCA 2004 included tutorial sessions, demonstrating the practical bene?ts of formal concept analysis, and highlighted developments in the foundational theory and standards. The conference showcased the increasing variety of formal concept analysis software and included eight invited lectures from distinguished speakersinthe?eld.Sevenoftheeightinvitedspeakerssubmittedaccompanying papers and these were reviewed and appear in this volume.
Author: Michel Chein Publisher: Springer Science & Business Media ISBN: 1848002866 Category : Mathematics Languages : en Pages : 428
Book Description
This book provides a de?nition and study of a knowledge representation and r- soning formalism stemming from conceptual graphs, while focusing on the com- tational properties of this formalism. Knowledge can be symbolically represented in many ways. The knowledge representation and reasoning formalism presented here is a graph formalism – knowledge is represented by labeled graphs, in the graph theory sense, and r- soning mechanisms are based on graph operations, with graph homomorphism at the core. This formalism can thus be considered as related to semantic networks. Since their conception, semantic networks have faded out several times, but have always returned to the limelight. They faded mainly due to a lack of formal semantics and the limited reasoning tools proposed. They have, however, always rebounded - cause labeled graphs, schemas and drawings provide an intuitive and easily und- standable support to represent knowledge. This formalism has the visual qualities of any graphic model, and it is logically founded. This is a key feature because logics has been the foundation for knowledge representation and reasoning for millennia. The authors also focus substantially on computational facets of the presented formalism as they are interested in knowledge representation and reasoning formalisms upon which knowledge-based systems can be built to solve real problems. Since object structures are graphs, naturally graph homomorphism is the key underlying notion and, from a computational viewpoint, this moors calculus to combinatorics and to computer science domains in which the algorithmicqualitiesofgraphshavelongbeenstudied,asindatabasesandconstraint networks.
Author: Frithjof Dau
Author: Frithjof Dau
Author: Frithjof Dau
Author: Karl Erich Wolff
Author: Peter Eklund
Author: Sébastien Ferré
Author: Uta Priss
Author: Henrik Schärfe
Author: Peter Eklund
Author: Michel Chein