R-Calculus, VI: Finite Injury Priority Method

R-Calculus, VI: Finite Injury Priority Method PDF Author: Wei Li
Publisher: Springer Nature
ISBN: 9819758300
Category :
Languages : en
Pages : 234

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R-Calculus, VI: Finite Injury Priority Method

R-Calculus, VI: Finite Injury Priority Method PDF Author: Wei Li
Publisher: Springer Nature
ISBN: 9819758300
Category :
Languages : en
Pages : 234

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Book Description


R-Calculus, III: Post Three-Valued Logic

R-Calculus, III: Post Three-Valued Logic PDF Author: Wei Li
Publisher: Springer Nature
ISBN: 9811942706
Category : Mathematics
Languages : en
Pages : 284

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Book Description
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.

R-CALCULUS: A Logic of Belief Revision

R-CALCULUS: A Logic of Belief Revision PDF Author: Wei Li
Publisher: Springer Nature
ISBN: 9811629447
Category : Computers
Languages : en
Pages : 210

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Book Description
This book introduces new models based on R-calculus and theories of belief revision for dealing with large and changing data. It extends R-calculus from first-order logic to propositional logic, description logics, modal logic and logic programming, and from minimal change semantics to subset minimal change, pseudo-subformula minimal change and deduction-based minimal change (the last two minimal changes are newly defined). And it proves soundness and completeness theorems with respect to the minimal changes in these logics. To make R-calculus computable, an approximate R-calculus is given which uses finite injury priority method in recursion theory. Moreover, two applications of R-calculus are given to default theory and semantic inheritance networks. 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.

R-Calculus, II: Many-Valued Logics

R-Calculus, II: Many-Valued Logics PDF Author: Wei Li
Publisher: Springer Nature
ISBN: 9811692947
Category : Mathematics
Languages : en
Pages : 281

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Book Description
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.

R-Calculus, VI: Finite Injury Priority Method

R-Calculus, VI: Finite Injury Priority Method PDF Author: Wei Li
Publisher: Springer
ISBN: 9789819758296
Category : Mathematics
Languages : en
Pages : 0

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Book Description
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.

Notices of the American Mathematical Society

Notices of the American Mathematical Society PDF Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 1414

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Book Description


Handbook of Mathematical Logic

Handbook of Mathematical Logic PDF Author: J. Barwise
Publisher: Elsevier
ISBN: 0080933645
Category : Computers
Languages : en
Pages : 1179

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Book Description
The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.

Humanities Index

Humanities Index PDF Author:
Publisher:
ISBN:
Category : Humanities
Languages : en
Pages : 1048

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Book Description


Computable Structure Theory

Computable Structure Theory PDF Author: Antonio Montalbán
Publisher: Cambridge University Press
ISBN: 1108534422
Category : Mathematics
Languages : en
Pages : 214

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Book Description
In mathematics, we know there are some concepts - objects, constructions, structures, proofs - that are more complex and difficult to describe than others. Computable structure theory quantifies and studies the complexity of mathematical structures, structures such as graphs, groups, and orderings. Written by a contemporary expert in the subject, this is the first full monograph on computable structure theory in 20 years. Aimed at graduate students and researchers in mathematical logic, it brings new results of the author together with many older results that were previously scattered across the literature and presents them all in a coherent framework, making it easier for the reader to learn the main results and techniques in the area for application in their own research. This volume focuses on countable structures whose complexity can be measured within arithmetic; a forthcoming second volume will study structures beyond arithmetic.

Handbook of Mathematical Logic

Handbook of Mathematical Logic PDF Author: Jon Barwise
Publisher: North-Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 1188

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Book Description