Exploring Logical Dynamics (Studies in Logic, Language, and Information)

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9781575860589: Exploring Logical Dynamics (Studies in Logic, Language, and Information)

This book is an exploration of current trends in logical theories of information flow across various fields, such as belief revision in computer science or dynamic semantics in linguistics. It provides one mathematical perspective encompassing all of these. This framework generates a new agenda of questions concerning dynamic inference and dynamic operators. The result is a mathematical theory of process models, simulations between these, and modal languages over them, which is developed in quite some detail. New results include theorems on expressive completeness, representation of styles of inference, and new kinds of decidable remodeling for standard logics. This theory is also confronted with practice in computer science, linguistics and philosophy.

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Book Description:

This book is an exploration of current trends in logical theories of information flow across various fields. It provides one mathematical perspective encompassing all of these. This framework generates a new agenda of questions concerning dynamic inference and dynamic operators. The result is a mathematical theory of process models, simulations between these, and modal languages over them, which is developed in detail.

Review:

'The book is beautifully written ... This is an important book, and one which is bound to raise interest around logical dynamics among people that had not been previously exposed to the specialised literature of the field. Like a true Seurat painting, the contours of the picture which van Benthem gives are still fuzzy, as in a hazy morning: the agenda of dynamicists is still rich with unsolved problems, and the rich notes at the end of each chapter are there to remind researchers about this.' Computer Journal

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