Overview
- Discusses the algebraical and logical properties of tableau proof systems and R-calculi in many-valued logics
- Gives the R-calculi for propositional logic, description logics, propositional modal logic, logic programming etc.
- Inspires theoretic computer scientists by showing how R-calculus is developed into a series of complicated theories
Part of the book series: Perspectives in Formal Induction, Revision and Evolution (PFIRE)
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Table of contents (10 chapters)
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Front Matter
Keywords
- Belief revision
- AGM postulates
- R-calculus
- Gentzen deduction system
- Soundness
- Completeness
- three-valued logics
- Deduction system
- Tableau and Sequents
- tableau-based
- propositional modal logic
- description logics
- propositional logic
- logic programming
- semantic networks
- three-valued logic
- sequent-based
- Post three-valued logic
About this book
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.
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, III: Post Three-Valued Logic
Authors: Wei Li, Yuefei Sui
Series Title: Perspectives in Formal Induction, Revision and Evolution
DOI: https://doi.org/10.1007/978-981-19-4270-9
Publisher: Springer Singapore
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Science Press 2022
Hardcover ISBN: 978-981-19-4269-3Published: 20 November 2022
Softcover ISBN: 978-981-19-4272-3Published: 21 November 2023
eBook ISBN: 978-981-19-4270-9Published: 19 November 2022
Series ISSN: 2731-3689
Series E-ISSN: 2731-3697
Edition Number: 1
Number of Pages: XII, 273
Number of Illustrations: 2 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, Mathematics of Computing