This book is intended to serve as a textbook for a second course in the im­ plementation (Le. microarchitecture) of computer architectures. The subject matter covered is the collection of techniques that are used to achieve the highest performance in single-processor machines; these techniques center the exploitation of low-level parallelism (temporal and spatial) in the processing of machine instructions. The target audience consists students in the final year of an undergraduate program or in the first year of a postgraduate program in computer science, computer engineering, or electrical engineering; professional computer designers will also also find the book useful as an introduction to the topics covered. Typically, the author has used the material presented here as the basis of a full-semester undergraduate course or a half-semester post­ graduate course, with the other half of the latter devoted to multiple-processor machines. The background assumed of the reader is a good first course in computer architecture and implementation - to the level in, say, Computer Organization and Design, by D. Patterson and H. Hennessy - and familiarity with digital-logic design. The book consists of eight chapters: The first chapter is an introduction to all of the main ideas that the following chapters cover in detail: the topics covered are the main forms of pipelining used in high-performance uniprocessors, a taxonomy of the space of pipelined processors, and performance issues. It is also intended that this chapter should be readable as a brief "stand-alone" survey.

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This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.

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