R-Calculus, II: Many-Valued Logics

1. Auflage 2022
ISBN: 978-981-16-9293-2
Verlag: Springer Nature Singapore

Buch, Englisch, 271 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 600 g

Reihe: Perspectives in Formal Induction, Revision and Evolution

This second volume of the book series shows R-calculus is a combination of one monotonic tableau proof system and one non-monotonic one. The R-calculus is a Gentzen-type 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. It discusses the algebraical and logical properties of tableau proof systems and R-calculi in many-valued logics.

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

Inhaltsverzeichnis

Introduction.- R-Calculus For Propositional Logic.- R-Calculus For L3-Valued Propositional Logic.- R-Calculus For L3-Valued PL,II.- R-Calculus For B22-Valued PL.- R-Calculus For B22-Valued PL,II.- Complementary R-Calculus For PL.- Multisequents and Hypersequents.- Product of Two R-Calculi.- Sum of Two R-Calculi.

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.