This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof-search, areas of logic that are becoming important in computer science. A systematic foundational text on these emerging topics, it includes proof-theoretic, semantic/model-theoretic and algorithmic aspects. The scope ranges from the conceptual background to reductive logic, through its mathematical metatheory, to its modern applications in the computational sciences. Suitable for researchers and graduate students in mathematical, computational and philosophical logic, and in theoretical computer science and artificial intelligence, this is the latest in the prestigous world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of intuitionism (2nd Edition), Dov M. Gabbay, Mark A. Reynolds, and Marcelo Finger's Temporal Logic Mathematical Foundations and Computational Aspects , J. M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change, Choice and Inference: A Study of Belief Revision and Nonmonotonic Reasoning , and P. T.Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2 .
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Dr. James M. Rubenstein received his Ph.D. from Johns Hopkins University in 1975. His dissertation on French urban planning was later developed into a book entitled The French New Towns (Johns Hopkins University Press). In 1976 he joined the faculty at Miami University, where he is currently Professor of Geography. Besides teaching courses on Urban and Human Geography and writing textbooks, Dr. Rubenstein also conducts research in the automotive industry and has published two books on the subject entitled The Changing U.S. Auto Industry: A Geographical Analysis (Routledge) and Making and Selling Cars: Innovation and Change in the U.S. Auto Industry (The Johns Hopkins University Press). Originally from Baltimore, he is an avid Orioles fan. Stormy, a lab-pointer mix, takes Dr. Rubenstein for a long walk in the woods every day.
This book is dedicated to Bernadette Unger, Dr. Rubenstein's wife, who has stuck with him through thick and thin. Dr. Rubenstein also gratefully thanks the rest of his family for their love and support.
Dealing with where people and human activities are located, why they are situated in particular locations, and what significance these observed arrangements represent, this text adopts a social science perspective while applying concepts from the physical sciences where needed. The book covers such geo-social issues as political conflict, urbanization, migration patterns and economic development.
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