R-Calculus, III: Post Three-Valued Logic

1. Auflage 2022
ISBN: 978-981-19-4272-3
Verlag: Springer Nature Singapore

Buch, Englisch, 273 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 441 g

Reihe: Perspectives in Formal Induction, Revision and Evolution

This third volume of the book series shows R-calculus is a Gentzen-typed deduction system which is non-monotonic, and is a concrete belief revision operator which is proved to satisfy the AGM postulates and the DP postulates. In this book, R-calculus is taken as Tableau-based/sequent-based/multisequent-based to preserve the satisfiability of the Theory/sequent/multisequent to revise, or sequent-based, to preserve the satisfiability of the sequent to revise. The R-calculi for Post and three-valued logic is given. 

This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic. 

Zielgruppe

Research

Autoren/Hrsg.

Sui, Yuefei

Li, Wei

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Inhaltsverzeichnis

Introduction.- Many-Placed Sequents.- Modalized Three-Valued Logics.- Post three-valued logic.- R-Calculi for Post Three-valued logic.- Post Three-valued description logic.- R-calculi for Post three-valued description logic.- R-calculi for corner multisequents.- General multisequents.- R-calculi for general multisequents.

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.