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The Complexity of Boolean Functions by Ingo Wegener, ISBN-13: 978-0471915553

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The Complexity of Boolean Functions by Ingo Wegener, ISBN-13: 978-0471915553

[PDF eBook eTextbook]

  • Publisher: ‎ Wiley; 1st edition (January 8, 1991)
  • Language: ‎ English
  • 470 pages
  • ISBN-10: ‎ 9780471915553
  • ISBN-13: ‎ 978-0471915553

Research on the complexity of Boolean functions in non-uniform computation models is now part of one of the most interesting and important areas in theoretical computer science. It has a direct relevance to practical problems in the computer aided design of digital circuits. In this book Professor Dr. Wegener presents a large number of recent research results for the first time. Initially he deals with the well known computation models (circuits and formulae), and he goes on to special types of circuits, parallel computers, and branching programs. Basic results are included as well as the most recent research results. The Complexity of Boolean Functions assumes a basic knowledge of computer science and mathematics. It deals with both efficient algorithms and lower bounds. At the end of each chapter there are exercises with varying levels of difficulty to help students using the book.

Contents:

Introduction to the theory of Boolean functions and circuits
The minimization of Boolean functions
The design of efficient circuits for some fundamental functions
Asymptotic results and universal circuits
Lower bounds on circuit complexity
Relations between circuit size, formula size, and depth
Formula size
Circuits and other non uniform computation methods vs. Turing machines and other uniform computation models
Hierarchie, mass production and reductions
Bounded-depth circuits
Synchronous, planar, and probabilistic circuits
PRAMs and WRAMs: Parallel random access machines
Pranching Programs

Ingo Wegener was an influential German computer scientist working in the field of theoretical computer science.

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