Sebastian Rudolph

Frithjof Dau

Sergei O. Kuznetsov

This book constitutes the refereed proceedings of the 17th International Conference on Conceptual Structures, ICCS 2009, which took place in Moscow, Russia, on July 26-31, 2009. The 18 papers presented together with 5 invited contributions were carefully reviewed and selected from approximately 50 submissions. Originally centered around research on knowledge representation and reasoning with conceptual graphs, over the years ICCS has broadened its scope 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.

17th International Conference on Conceptual Structures, ICCS 2009, Moscow, Russia, July 26-31, 2009, Proceedings

Conceptual Structures: Leveraging Semantic Technologies

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.

And Its Relationship to Predicate Logic

The Logic System of Concept Graphs with Negation

Gerd Stumme

Marie-Laure Mugnier

This book constitutes the refereed proceedings of the 13th International Conference on Conceptual Structures, ICCS 2005, held in Kassel, Germany, in July 2005. The 23 revised full papers presented together with 9 invited papers were carefully reviewed and selected from 66 submissions. The papers are organized in topical sections on theoretical foundations, knowledge engineering and tools, and knowledge acquisition and ontologies.

Frithjof Dau

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