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Dynamic Tractable Reasoning - A Modular Approach to Belief Revision (Paperback, 1st ed. 2020)
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Dynamic Tractable Reasoning - A Modular Approach to Belief Revision (Paperback, 1st ed. 2020)
Series: Synthese Library, 420
Expected to ship within 10 - 15 working days
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This book aims to lay bare the logical foundations of tractable
reasoning. It draws on Marvin Minsky's seminal work on frames,
which has been highly influential in computer science and, to a
lesser extent, in cognitive science. Only very few people have
explored ideas about frames in logic, which is why the
investigation in this book breaks new ground. The apparent
intractability of dynamic, inferential reasoning is an unsolved
problem in both cognitive science and logic-oriented artificial
intelligence. By means of a logical investigation of frames and
frame concepts, Andreas devises a novel logic of tractable
reasoning, called frame logic. Moreover, he devises a novel belief
revision scheme, which is tractable for frame logic. These
tractability results shed new light on our logical and cognitive
means to carry out dynamic, inferential reasoning. Modularity
remains central for tractability, and so the author sets forth a
logical variant of the massive modularity hypothesis in cognitive
science. This book conducts a sustained and detailed examination of
the structure of tractable and intelligible reasoning in cognitive
science and artificial intelligence. Working from the perspective
of formal epistemology and cognitive science, Andreas uses
structuralist notions from Bourbaki and Sneed to provide new
foundational analyses of frames, object-oriented programming,
belief revision, and truth maintenance. Andreas then builds on
these analyses to construct a novel logic of tractable reasoning he
calls frame logic, together with a novel belief revision scheme
that is tractable for frame logic. Put together, these logical
analyses and tractability results provide new understandings of
dynamic and inferential reasoning. Jon Doyle, North Carolina State
University
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