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Proof Complexity (Encyclopedia of Mathematics and its Applications)

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Proof complexity is a rich subject drawing on methods from logic, combinatorics, algebra and computer science. This self-contained book presents the basic concepts, classical results, current state of the art and possible future directions in the field. It stresses a view of proof complexity as a whole entity rather than a collection of various topics held together loosely by a few notions, and it favors more generalizable statements. Lower bounds for lengths of proofs, often regarded as the key issue in proof complexity, are of course covered in detail. However, upper bounds are not neglected: this book also explores the relations between bounded arithmetic theories and proof systems and how they can be used to prove upper bounds on lengths of proofs and simulations among proof systems. It goes on to discuss topics that transcend specific proof systems, allowing for deeper understanding of the fundamental problems of the subject.
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Frommer's England 2009 (Frommer's Complete)
Frommer's England 2009 (Frommer's Complete)
America’s #1 bestselling travel series

Written by more than 175 outspoken travelers around the globe, Frommer’s Complete Guides help travelers experience places the way locals do.

• More annually updated guides than any other series

• 16-page color section and foldout...

Microsoft Visual Studio Tips
Microsoft Visual Studio Tips
Just as a race car team analyzes every aspect of car and driver data to optimize endurance and speed imagine your potential if you could optimize every aspect of daily coding activities with Visual Studio! The author a member of the Visual Studio team for five years has identified 251 tips to help you do just that. In her own words, There was much...
Functional JavaScript: Introducing Functional Programming with Underscore.js
Functional JavaScript: Introducing Functional Programming with Underscore.js

How can you overcome JavaScript language oddities and unsafe features? With this book, you’ll learn how to create code that’s beautiful, safe, and simple to understand and test by using JavaScript’s functional programming support. Author Michael Fogus shows you how to apply functional-style concepts with...


Intellectual Capital for Communities: Nations, Regions, and Cities
Intellectual Capital for Communities: Nations, Regions, and Cities
"a welcome and timely overview of a new and vibrant Intellectual Capital frontier. The chapters are fresh and topical. This is required reading!"
Karl-Erik Sveiby, Professor at Swedish School of Economics and Business Administration, Helsinki, Finland

"Bounfour and Edvinsson's extension of the burgeoning
...
System-on-Chip Test Architectures (Systems on Silicon)
System-on-Chip Test Architectures (Systems on Silicon)
Modern electronics testing has a legacy of more than 40 years. The introduction of new technologies, especially nanometer technologies with 90nm or smaller geometry, has allowed the semiconductor industry to keep pace with the increased performance-capacity demands from consumers. As a result, semiconductor test costs have been growing steadily...
A Tale of Two Fractals
A Tale of Two Fractals

Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to...

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