Boolean Functions and Computation Models 2002nd Edition by Peter Clote (PDF)

Description

The two internationally renowned authors elucidate the structure of “fast” parallel computation. Its complexity is emphasised through a variety of techniques ranging from finite combinatorics, probability theory and finite group theory to finite model theory and proof theory. Non-uniform computation models are studied in the form of Boolean circuits; uniform ones in a variety of forms. Steps in the investigation of non-deterministic polynomial time are surveyed as is the complexity of various proof systems. Providing a survey of research in the field, the book will benefit advanced undergraduates and graduate students as well as researchers.

User’s Reviews

Editorial Reviews: Review From the reviews:”The monograph gives the most recent and complete description of lower bounds for depth-restricted circuits, and propositional proof systems. … the authors present a research monograph on important subjects and provide many very recent results. I would recommend it for any university library and also for researchers.” (Ingo Wegener, The Computer Journal, Vol. 46 (3), 2003) From the Back Cover This textbook presents a survey of research on boolean functions, circuits, parallel computation models, function algebras, and proof systems. Its main aim is to elucidate the structure of “fast” parallel computation. The complexity of parallel computation is emphasized through a variety of techniques ranging from finite combinatorics, probability theory, and finite group theory to finite model theory and proof theory. Nonuniform computation models are studied in the form of boolean circuits, uniform ones in a variety of forms. Steps in the investigation of non-deterministic polynomial time are surveyed as is the complexity of various proof systems.The book will benefit advanced undergraduate and graduate students as well as researchers in the field of complexity theory.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book covers most recent results on boolean function complexity, circuit complexity, proof complexity etc. Generally speaking, the book is clearly written and self-contained, a must-have for theoretical computer scientists working on computation complexity.

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