Conditionals and Modularity in General Logics by Dov M. Gabbay (English) Hardcov

Description: Conditionals and Modularity in General Logics by Dov M. Gabbay, Karl Schlechta The third topic explained by the authors is neighbourhood semantics, their connection to independence, and their common points and differences for various logics, e.g., for defaults and deontic logic, for the limit version of preferential logics, and for general approximation. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description This text centers around three main subjects. The first is the concept of modularity and independence in classical logic and nonmonotonic and other nonclassical logic, and the consequences on syntactic and semantical interpolation and language change. In particular, we will show the connection between interpolation for nonmonotonic logic and manipulation of an abstract notion of size. Modularity is essentially the ability to put partial results achieved independently together for a global result. The second aspect of the book is the authors uniform picture of conditionals, including many-valued logics and structures on the language elements themselves and on the truth value set. The third topic explained by the authors is neighbourhood semantics, their connection to independence, and their common points and differences for various logics, e.g., for defaults and deontic logic, for the limit version of preferential logics, and for general approximation. The book will be of value to researchers and graduate students in logic and theoretical computer science. Notes The authors present results on modularity and interpolation for monotonic and nonmonotonic logic, using a semantic approach and revealing new insights.The first monograph on this topic.This book is useful for researchers and advanced students. Back Cover This text centers around three main subjects. The first is the concept of modularity and independence in classical logic and nonmonotonic and other nonclassical logic, and the consequences on syntactic and semantical interpolation and language change. In particular, we will show the connection between interpolation for nonmonotonic logic and manipulation of an abstract notion of size. Modularity is essentially the ability to put partial results achieved independently together for a global result. The second aspect of the book is the authors uniform picture of conditionals, including many-valued logics and structures on the language elements themselves and on the truth value set. The third topic explained by the authors is neighbourhood semantics, their connection to independence, and their common points and differences for various logics, e.g., for defaults and deontic logic, for the limit version of preferential logics, and for general approximation. The book will be of value to researchers and graduate students in logic and theoretical computer science. Author Biography The first author is one of the foremost authorities on nonclassical logics and their applications in computing, the second author has written three related research monographs. Table of Contents Introduction; Basic Definitions; Towards a Uniform Picture of Conditionals; Monotone and Antitone Semantic and Syntactic Interpolation; Laws About Size and Interpolation in Nonmonotonic Logics; Neighbourhood Semantics; Conclusion and Outlook; References; Index Review "This book is a tour de force achieved by perhaps the only people who could pull this off. It provides one fresh unified view of conditionals, non-monotonic reasoning, interpolation, and modularity of information, based on fine-grained neighbourhood models. The new ideas in this book will reverberate in the community for quite a while to come." Johan van Benthem (University of Amsterdam and Stanford University) Promotional "This book is a tour de force achieved by perhaps the only people who could pull this off. It provides one fresh unified view of conditionals, non-monotonic reasoning, interpolation, and modularity of information, based on fine-grained neighbourhood models. The new ideas in this book will reverberate in the community for quite a while to come." Johan van Benthem (University of Amsterdam and Stanford University) Review Quote "This book is a tour de force achieved by perhaps the only people who could pull this off. It provides one fresh unified view of conditionals, non-monotonic reasoning, interpolation, and modularity of information, based on fine-grained neighbourhood models. The new ideas in this book will reverberate in the community for quite a while to come." Johan van Benthem (University of Amsterdam and Stanford University) Feature The authors present results on modularity and interpolation for monotonic and nonmonotonic logic, using a semantic approach and revealing new insights. The first monograph on this topic. This book is useful for researchers and advanced students. Details ISBN3642190677 Author Karl Schlechta Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Series Cognitive Technologies Year 2011 ISBN-10 3642190677 ISBN-13 9783642190674 Format Hardcover Publication Date 2011-08-19 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany Birth 1945 Affiliation Kings College London Short Title CONDITIONALS & MODULARITY IN G Language English Media Book Residence London, ENK Pages 233 Edition 2011th DEWEY 160 Illustrations IX, 233 p. DOI 10.1007/978-3-642-19068-1 Edition Description 2011 ed. 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