R-Calculus, III: Post Three-Valued Logic [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: XII, 273 p. 3 illus., 1 illus. in color. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9789811942709

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 -- Many-Placed Sequents -- Modalized Three-Valued Logics -- Post three-valued logic -- R-Calculi for Post Three-valued logic -- Post Three-valued description logic -- R-calculi for Post three-valued description logic -- R-calculi for corner multisequents -- General multisequents -- R-calculi for general multisequents.

In: Springer Nature eBookSummary: 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. .

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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. .

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