R-Calculus, VI: Finite Injury Priority Method

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. 

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.

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.