R-Calculus, II: Many-Valued Logics [electronic resource] /

By:

Li, Wei [author.]

Contributor(s):

Material type: Text

TextSeries: Perspectives in Formal Induction, Revision and EvolutionPublisher: Singapore : Springer Nature Singapore : Imprint: Springer, 2022Edition: 1st ed. 2022Description: XIII, 271 p. 6 illus., 1 illus. in color. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9789811692949

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:

005.131 23

LOC classification:

QA267-268.5

Online resources:

Click here to access online

Contents:

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.

In: Springer Nature eBookSummary: 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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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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