R-Calculus, IV: Propositional Logic

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Publisher :
ISBN 13 : 9789811986345
Total Pages : 0 pages
Book Rating : 4.9/5 (863 download)

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Book Synopsis R-Calculus, IV: Propositional Logic by : Wei Li

Download or read book R-Calculus, IV: Propositional Logic written by Wei Li and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. .

R-Calculus, IV: Propositional Logic

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Author :
Publisher : Springer Nature
ISBN 13 : 9811986339
Total Pages : 264 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis R-Calculus, IV: Propositional Logic by : Wei Li

Download or read book R-Calculus, IV: Propositional Logic written by Wei Li and published by Springer Nature. This book was released on 2023-03-27 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

R-CALCULUS: A Logic of Belief Revision

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Publisher :
ISBN 13 : 9789811629457
Total Pages : 0 pages
Book Rating : 4.6/5 (294 download)

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Book Synopsis R-CALCULUS: A Logic of Belief Revision by : Wei Li

Download or read book R-CALCULUS: A Logic of Belief Revision written by Wei Li and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Springer Nature
ISBN 13 : 9811692947
Total Pages : 281 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis R-Calculus, II: Many-Valued Logics by : Wei Li

Download or read book R-Calculus, II: Many-Valued Logics written by Wei Li and published by Springer Nature. This book was released on 2022-04-12 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: A Logic of Belief Revision

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Author :
Publisher : Springer Nature
ISBN 13 : 9811629447
Total Pages : 210 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis R-CALCULUS: A Logic of Belief Revision by : Wei Li

Download or read book R-CALCULUS: A Logic of Belief Revision written by Wei Li and published by Springer Nature. This book was released on 2021-11-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Comprehensive Discrete Mathematics & Structures

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Publisher : Laxmi Publications
ISBN 13 : 9788170086437
Total Pages : 370 pages
Book Rating : 4.0/5 (864 download)

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Book Synopsis Comprehensive Discrete Mathematics & Structures by :

Download or read book Comprehensive Discrete Mathematics & Structures written by and published by Laxmi Publications. This book was released on with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Mathematical Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 1461572886
Total Pages : 351 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Introduction to Mathematical Logic by : Elliot Mendelsohn

Download or read book Introduction to Mathematical Logic written by Elliot Mendelsohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.

Knowledge Science, Engineering and Management

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Publisher : Springer
ISBN 13 : 3319635581
Total Pages : 566 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Knowledge Science, Engineering and Management by : Gang Li

Download or read book Knowledge Science, Engineering and Management written by Gang Li and published by Springer. This book was released on 2017-08-10 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​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.

The Logical Writings of Karl Popper

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Publisher : Springer Nature
ISBN 13 : 3030949265
Total Pages : 552 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis The Logical Writings of Karl Popper by : David Binder

Download or read book The Logical Writings of Karl Popper written by David Binder and published by Springer Nature. This book was released on 2022-08-07 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book is the first ever collection of Karl Popper's writings on deductive logic. Karl R. Popper (1902-1994) was one of the most influential philosophers of the 20th century. His philosophy of science ("falsificationism") and his social and political philosophy ("open society") have been widely discussed way beyond academic philosophy. What is not so well known is that Popper also produced a considerable work on the foundations of deductive logic, most of it published at the end of the 1940s as articles at scattered places. This little-known work deserves to be known better, as it is highly significant for modern proof-theoretic semantics. This collection assembles Popper's published writings on deductive logic in a single volume, together with all reviews of these papers. It also contains a large amount of unpublished material from the Popper Archives, including Popper's correspondence related to deductive logic and manuscripts that were (almost) finished, but did not reach the publication stage. All of these items are critically edited with additional comments by the editors. A general introduction puts Popper's work into the context of current discussions on the foundations of logic. This book should be of interest to logicians, philosophers, and anybody concerned with Popper's work.

Collected Papers of Stig Kanger with Essays on his Life and Work

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Publisher : Springer Science & Business Media
ISBN 13 : 9401005001
Total Pages : 313 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Collected Papers of Stig Kanger with Essays on his Life and Work by : Ghita Holmström-Hintikka

Download or read book Collected Papers of Stig Kanger with Essays on his Life and Work written by Ghita Holmström-Hintikka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stig Kanger (1924-1988) made important contributions to logic and formal philosophy. Kanger's dissertation Provability in Logic, 1957, contained significant results in proof theory as well as the first fully worked out model-theoretic interpretation of quantified modal logic. It is generally accepted nowadays that Kanger was one of the originators of possible worlds semantics for modal logic. Kanger's most original achievements were in the areas of general proof theory, the semantics of modal and deontic logic, and the logical analysis of the concept of rights. He also contributed to action theory, preference logic, and the theory of measurement. This is the first of two volumes dedicated to the work of Stig Kanger. The present volume is a complete collection of Kanger's philosophical papers. The second volume contains critical essays on Kanger's work, as well as biographical essays on Kanger written by colleagues and friends.

R-Calculus, V: Description Logics

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Publisher : Springer Nature
ISBN 13 : 9819964601
Total Pages : 393 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis R-Calculus, V: Description Logics by : Wei Li

Download or read book R-Calculus, V: Description Logics written by Wei Li and published by Springer Nature. This book was released on 2024-01-05 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Calculus of Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 3540741135
Total Pages : 375 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis The Calculus of Computation by : Aaron R. Bradley

Download or read book The Calculus of Computation written by Aaron R. Bradley and published by Springer Science & Business Media. This book was released on 2007-09-18 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written with graduate and advanced undergraduate students in mind, this textbook introduces computational logic from the foundations of first-order logic to state-of-the-art decision procedures for arithmetic, data structures, and combination theories. The textbook also presents a logical approach to engineering correct software. Verification exercises are given to develop the reader's facility in specifying and verifying software using logic. The treatment of verification concludes with an introduction to the static analysis of software, an important component of modern verification systems. The final chapter outlines courses of further study.

Logical Studies

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Publisher : Routledge
ISBN 13 : 1317830628
Total Pages : 208 pages
Book Rating : 4.3/5 (178 download)

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Book Synopsis Logical Studies by : Georg Henrik Von Wright

Download or read book Logical Studies written by Georg Henrik Von Wright and published by Routledge. This book was released on 2017-07-28 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2000. In this volume are eight essays; with the first three essays deal with the problem of logical truth. Their aim is to elucidate what is meant by saying that logical truth is formal-dependent of form and independent of content-or that logical truth is tautologous. The next is on study of distributive normal forms that awakened my interest in modality. The next three essays are in the field of modal logic. Related to modal logic are the problems of the conditional (the if-then) and of entailment (logical consequence) on which the final essay is based.

Philosophy of Science, Logic and Mathematics in the 20th Century

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1000943054
Total Pages : 500 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Philosophy of Science, Logic and Mathematics in the 20th Century by : Stuart G. Shanker

Download or read book Philosophy of Science, Logic and Mathematics in the 20th Century written by Stuart G. Shanker and published by Taylor & Francis. This book was released on 2023-05-09 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century witnessed the birth of analytic philosophy. This volume covers some of its key movements and philosophers, including Frege and Wittgenstein's Tractatus.

R-Calculus, III: Post Three-Valued Logic

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Publisher : Springer Nature
ISBN 13 : 9811942706
Total Pages : 284 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis R-Calculus, III: Post Three-Valued Logic by : Wei Li

Download or read book R-Calculus, III: Post Three-Valued Logic written by Wei Li and published by Springer Nature. This book was released on 2022-11-19 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Routledge Encyclopedia of Philosophy: Genealogy to Iqbal

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Author :
Publisher : Taylor & Francis
ISBN 13 : 9780415187091
Total Pages : 896 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Routledge Encyclopedia of Philosophy: Genealogy to Iqbal by : Edward Craig

Download or read book Routledge Encyclopedia of Philosophy: Genealogy to Iqbal written by Edward Craig and published by Taylor & Francis. This book was released on 1998 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume four of a ten volume set which provides full and detailed coverage of all aspects of philosophy, including information on how philosophy is practiced in different countries, who the most influential philosophers were, and what the basic concepts are.

Discrete Mathematics

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781724572639
Total Pages : 238 pages
Book Rating : 4.5/5 (726 download)

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Book Synopsis Discrete Mathematics by : Oscar Levin

Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2018-07-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.