The Logic System of Concept Graphs with Negation And Its Relationship to Predicate Logic /

• Main Author: Dau, Frithjof (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Computer Science, 2892
• Subjects: Mathematical logic.; Artificial intelligence.; Computer science.; Computer science-Mathematics.; Mathematical Logic and Foundations.; Artificial Intelligence.; Computer Science, general.; Mathematical Logic and Formal Languages.; Discrete Mathematics in Computer Science.

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 g...

Table of Contents:

• 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.