R-CALCULUS: A Logic of Belief Revision

1. Auflage 2021
ISBN: 978-981-16-2943-3
Verlag: Springer Nature Singapore

Buch, Englisch, 200 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 489 g

Reihe: Perspectives in Formal Induction, Revision and Evolution

This book introduces new models based on R-calculus and theories of belief revision for dealing with large and changing data. It extends R-calculus from first-order logic to propositional logic, description logics, modal logic and logic programming, and from minimal change semantics to subset minimal change, pseudo-subformula minimal change and deduction-based minimal change (the last two minimal changes are newly defined). And it proves soundness and completeness theorems with respect to the minimal changes in these logics. To make R-calculus computable, an approximate R-calculus is given which uses finite injury priority method in recursion theory. Moreover, two applications of R-calculus are given to default theory and semantic inheritance networks.

This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic. Also it is very useful for all those who are interested in data, digitization and correctnessand consistency of information, in modal logics, non monotonic logics, decidable/undecidable logics, logic programming, description logics, default logics and semantic inheritance networks.  

Zielgruppe

Research

Autoren/Hrsg.

Sui, Yuefei

Li, Wei

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Big Data

Inhaltsverzeichnis

Introduction.- Preliminaries.- R-calculi for Propositional Logic.- R-calculi for Description Logics.- R-calculi for Modal Logic.- R-calculi for Logic Programming.- R-calculi for First-order Logic.- Nonmonotonicity of R-calculus.- Approximate R-calculus.- An application to Default Logic.- An application to Semantic Networks.

Über Autor(innen)

Wei Li, is a Professor in the School of Computer Science and Engineering, Beihang University, Beijing, China and is a member of the Chinese Academy of Sciences. Prof. Li is mostly engaged in the applied research of Computer Software and Theory, and the Internet, including programming languages, software development, artificial intelligence, and integrated circuit design.

Yuefei Sui, is a Professor in the Institute of Computing Technology, Chinese Academy of Sciences, Beijing, China. His main interests include knowledge representation, applied logic and the theory of computability.