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R-Calculus, II: Many-Valued Logics: Perspectives in Formal Induction, Revision and Evolution

Autor Wei Li, Yuefei Sui
en Limba Engleză Paperback – 15 apr 2023
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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Specificații

ISBN-13: 9789811692963
ISBN-10: 9811692963
Pagini: 271
Ilustrații: XIII, 271 p. 6 illus., 1 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.41 kg
Ediția:1st ed. 2022
Editura: Springer Nature Singapore
Colecția Springer
Seria Perspectives in Formal Induction, Revision and Evolution

Locul publicării:Singapore, Singapore

Cuprins

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.

Recenzii

“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)

Notă biografică

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.

Textul de pe ultima copertă

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.  

Caracteristici

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