Overview
- Discusses the algebraical and logical properties of tableau proof systems and R-calculi in many-valued logics
- Shows R-calculus is a combination of one monotonic tableau proof system and one non-monotonic one
- Inspires theoretic computer scientists by showing how a simple idea, R-calculus is developed
Part of the book series: Perspectives in Formal Induction, Revision and Evolution (PFIRE)
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About this book
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.
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Keywords
Table of contents (11 chapters)
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Front Matter
Reviews
“This book is the second volume in a series of books on the topic of R-calculus … . the book is … specifically intended for specialized readers, particularly those who are researchers in mathematical logic.” (Nino Guallart, Mathematical Reviews, January, 2024)
Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: R-Calculus, II: Many-Valued Logics
Authors: Wei Li, Yuefei Sui
Series Title: Perspectives in Formal Induction, Revision and Evolution
DOI: https://doi.org/10.1007/978-981-16-9294-9
Publisher: Springer Singapore
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Science Press 2022
Hardcover ISBN: 978-981-16-9293-2Published: 13 April 2022
Softcover ISBN: 978-981-16-9296-3Published: 15 April 2023
eBook ISBN: 978-981-16-9294-9Published: 12 April 2022
Series ISSN: 2731-3689
Series E-ISSN: 2731-3697
Edition Number: 1
Number of Pages: XIII, 271
Number of Illustrations: 5 b/w illustrations, 1 illustrations in colour
Topics: Mathematical Logic and Formal Languages, Mathematical Logic and Foundations, Logic in AI, Mathematical Modeling and Industrial Mathematics, Big Data