The Logic System of Concept Graphs with Negation: And Its Relationship to Predicate Logic: Lecture Notes in Computer Science, cartea 2892
Autor Frithjof Dauen Limba Engleză Paperback – 24 noi 2003
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.
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Specificații
ISBN-13: 9783540206071
ISBN-10: 3540206078
Pagini: 232
Ilustrații: XII, 216 p.
Dimensiuni: 155 x 233 x 12 mm
Greutate: 0.33 kg
Ediția:2003
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seriile Lecture Notes in Computer Science, Lecture Notes in Artificial Intelligence
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3540206078
Pagini: 232
Ilustrații: XII, 216 p.
Dimensiuni: 155 x 233 x 12 mm
Greutate: 0.33 kg
Ediția:2003
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seriile Lecture Notes in Computer Science, Lecture Notes in Artificial Intelligence
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
Start.- 1 Introduction.- 2 Basic Definitions.- Alpha.- 3 Overview for Alpha.- 4 Semantics for Nonexistential Concept Graphs.- 5 Calculus for Nonexistential Concept Graphs.- 6 Soundness and Completeness.- Beta.- 7 Overview for Beta.- 8 First Order Logic.- 9 Semantics for Existential Concept Graphs.- 10 Calculus for Existential Concept Graphs.- 11 Syntactical Equivalence to FOL.- 12 Summary of Beta.- 13 Concept Graphs without Cuts.- 14 Design Decisions.
Caracteristici
Includes supplementary material: sn.pub/extras