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R-Calculus, V: Description Logics

R-Calculus, V: Description Logics PDF Author: Wei Li
Publisher: Springer Nature
ISBN: 9819964601
Category : Mathematics
Languages : en
Pages : 393

Book Description
This book series consists of two parts, decidable description logics and undecidable description logics. It gives the R-calculi for description logics. 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, V: Description Logics

R-Calculus, V: Description Logics PDF Author: Wei Li
Publisher: Springer Nature
ISBN: 9819964601
Category : Mathematics
Languages : en
Pages : 393

Book Description
This book series consists of two parts, decidable description logics and undecidable description logics. It gives the R-calculi for description logics. 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, 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

Book Description


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

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

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, 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

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, IV: Propositional Logic

R-Calculus, IV: Propositional Logic PDF Author: Wei Li
Publisher: Springer Nature
ISBN: 9811986339
Category : Mathematics
Languages : en
Pages : 264

Book Description
This fourth volume of the book series combines propositional logic and R-calculus for a new point of view to consider belief revision. It gives the R-calculi for propositional logic, description logics, propositional modal logic, logic programming, ⇝-propositional logic, semantic networks, and three-valued logic, etc.. Applications of R-calculus in logic of supersequents are also given. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic.

Introduction to Description Logic

Introduction to Description Logic PDF Author: Franz Baader
Publisher: Cambridge University Press
ISBN: 0521873614
Category : Business & Economics
Languages : en
Pages : 264

Book Description
The first introductory textbook on description logics, relevant to computer science, knowledge representation and the semantic web.

Knowledge Science, Engineering and Management

Knowledge Science, Engineering and Management PDF Author: Gang Li
Publisher: Springer
ISBN: 3319635581
Category : Computers
Languages : en
Pages : 566

Book Description
​This book constitutes the refereed proceedings of the 10th International Conference on Knowledge Science, Engineering and Management, KSEM 2017, held in Melbourne, Australia, in August 2017. The 35 revised full papers and 12 short papers presented were carefully reviewed and selected from 134 submissions. The papers are organized in the following topical sections: text mining and document analysis; formal semantics and fuzzy logic; knowledge management; knowledge integration; knowledge retrieval; recommendation algorithms and systems; knowledge engineering; and knowledge representation and reasoning.

Automated Reasoning

Automated Reasoning PDF Author: Rajeev Gore
Publisher: Springer
ISBN: 3540457445
Category : Computers
Languages : en
Pages : 721

Book Description
This book constitutes the refereed proceedings of the First International Joint Conference on Automated Reasoning, IJCAR 2001, held in Siena, Italy, in June 2001. The 37 research papers and 19 system descriptions presented together with three invited contributions were carefully reviewed and selected from a total of 112 submissions. The book offers topical sections on description, modal, and temporal logics; saturation based theorem proving, applications, and data structures; logic programming and nonmonotonic reasoning; propositional satisfiability and quantified Boolean logic; logical frameworks, higher-order logic, and interactive theorem proving; equational theorem proving and term rewriting; tableau, sequent, and natural deduction calculi and proof theory; automata, specification, verification, and logics of programs; and nonclassical logics.

A Proof Theory for Description Logics

A Proof Theory for Description Logics PDF Author: Alexandre Rademaker
Publisher: Springer Science & Business Media
ISBN: 1447140028
Category : Mathematics
Languages : en
Pages : 109

Book Description
Description Logics (DLs) is a family of formalisms used to represent knowledge of a domain. They are equipped with a formal logic-based semantics. Knowledge representation systems based on description logics provide various inference capabilities that deduce implicit knowledge from the explicitly represented knowledge. A Proof Theory for Description Logics introduces Sequent Calculi and Natural Deduction for some DLs (ALC, ALCQ). Cut-elimination and Normalization are proved for the calculi. The author argues that such systems can improve the extraction of computational content from DLs proofs for explanation purposes.