Handbook of computability theory
Author(s)
Bibliographic Information
Handbook of computability theory
(Studies in logic and the foundations of mathematics, v. 140)
Elsevier, 1999
Available at / 43 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C||Handbook-3299067680
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Note
Includes bibliographical references and indexes
Description and Table of Contents
Description
The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others, some presentations contain fundamental definitions and basic results while others relate very little of the elementary theory behind them and aim directly toward an exposition of advanced results. Presentations of the latter sort are in some cases restricted to a short survey of recent results (due to the complexity of the methods and proofs themselves). Hence the variation in level of presentation from chapter to chapter only reflects the conceptual situation itself. One example of this is the collective efforts to develop an acceptable theory of computation on the real numbers. The last two decades has seen at least two new definitions of effective operations on the real numbers.
Table of Contents
Part 1: Fundamentals of Computability Theory
Part 2: Reducibilities and Degrees
Part 3: Generalized Computability Theory
Part 4: Mathematics and Computability Theory
Part 5: Logic and Computability Theory
Part 6: Computer Science and Computability Theory
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