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R-Calculus, VI: Finite Injury Priority Method de Wei Li

R-Calculus, VI: Finite Injury Priority Method: Perspectives in Formal Induction, Revision and Evolution

Autor Wei Li, Yuefei Sui
en Limba Engleză Hardback – 22 oct 2024
This sixth volume of the book series applies finite injury priority method to R-calculi and obtain (in)completeness theorem for binary-valued, Post three-valued, B2^2-valued and L4-valued first-order logics, and extend the method to infinite injury priority method and 0"-method for default logic to produce pseudo-extensions of a default theory, corresponding to different R-calculi. Finite injury priority method and tree constructions are discussed in this book. 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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Specificații

ISBN-13: 9789819758296
ISBN-10: 9819758297
Pagini: 250
Ilustrații: Approx. 250 p. 3 illus., 1 illus. in color.
Dimensiuni: 155 x 235 mm
Ediția:2025
Editura: Springer Nature Singapore
Colecția Springer
Seria Perspectives in Formal Induction, Revision and Evolution

Locul publicării:Singapore, Singapore

Cuprins

Introduction.- Finite injury priority method.- Binary-valued first-order logic. - R-calculus for L3-valued first-order logic.- R-calculus for B2 2 -valued FOL.- R-calculus for L4-valued FOL.- Default logic: finite injury priority method.- Default logic: tree construction.

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. 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 computation.

Textul de pe ultima copertă

This sixth volume of the book series applies finite injury priority method to R-calculi and obtain (in)completeness theorem for binary-valued, Post three-valued, B(2/2)-valued and L4-valued first-order logics, and extend the method to infinite injury priority method and 0"-method for default logic to produce pseudo-extensions of a default theory, corresponding to different R-calculi. Finite injury priority method and tree constructions are discussed in this book. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic. 

Caracteristici

Obtains (in)completeness theorem for binary-valued, Post three-valued, B(2/2)-valued and L4-valued first-order logics (FOLs) Gives the R-calculi for different first order logics Inspires theoretic computer scientists by showing how R-calculus is developed into a series of complicated theories