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R Calculus Vi Finite Injury Priority Method


R Calculus Vi Finite Injury Priority Method
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R Calculus Vi Finite Injury Priority Method


R Calculus Vi Finite Injury Priority Method
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Author : Wei Li
language : en
Publisher: Springer Nature
Release Date : 2024-10-28

R Calculus Vi Finite Injury Priority Method written by Wei Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-28 with Mathematics categories.


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.



R Calculus Iii Post Three Valued Logic


R Calculus Iii Post Three Valued Logic
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Author : Wei Li
language : en
Publisher: Springer Nature
Release Date : 2022-11-19

R Calculus Iii Post Three Valued Logic written by Wei Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-19 with Mathematics categories.


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
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Author : Wei Li
language : en
Publisher: Springer Nature
Release Date : 2021-11-01

R Calculus A Logic Of Belief Revision written by Wei Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-01 with Computers categories.


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
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Author : Wei Li
language : en
Publisher: Springer Nature
Release Date : 2022-04-12

R Calculus Ii Many Valued Logics written by Wei Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-12 with Mathematics categories.


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.



Handbook Of Mathematical Logic


Handbook Of Mathematical Logic
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Author : J. Barwise
language : en
Publisher: Elsevier
Release Date : 1982-03-01

Handbook Of Mathematical Logic written by J. Barwise and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-03-01 with Computers categories.


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.



Notices Of The American Mathematical Society


Notices Of The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1975

Notices Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Electronic journals categories.


Contains articles of significant interest to mathematicians, including reports on current mathematical research.



Computable Structure Theory


Computable Structure Theory
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Author : Antonio Montalbán
language : en
Publisher: Cambridge University Press
Release Date : 2021-06-24

Computable Structure Theory written by Antonio Montalbán and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-24 with Mathematics categories.


Presents main results and techniques in computable structure theory together in a coherent framework for the first time in 20 years.



Humanities Index


Humanities Index
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Author :
language : en
Publisher:
Release Date : 1977

Humanities Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Humanities categories.




Handbook Of Mathematical Logic


Handbook Of Mathematical Logic
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Author : Jon Barwise
language : en
Publisher: North-Holland
Release Date : 1977

Handbook Of Mathematical Logic written by Jon Barwise and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with MATHEMATICS categories.




Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 1976

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.