R-Calculus, III: Post Three-Valued Logic

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/multisequ...

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Bibliographic Details
Main Authors: Li, Wei, Sui, Yuefei (Author)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2022, 2022
Edition:1st ed. 2022
Series:Perspectives in Formal Induction, Revision and Evolution
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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505 0 |a 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 
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653 |a Formal Languages and Automata Theory 
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653 |a Mathematical Logic and Foundations 
653 |a Logic programming 
653 |a Mathematical models 
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520 |a 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.