PDF Ebook The Art of Computer Programming, Volume 4, Fascicle 6: Satisfiability, by Donald E. Knuth
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The Art of Computer Programming, Volume 4, Fascicle 6: Satisfiability, by Donald E. Knuth
PDF Ebook The Art of Computer Programming, Volume 4, Fascicle 6: Satisfiability, by Donald E. Knuth
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This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The four volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth’s writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his “cookbook” solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books.
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To continue the fourth and later volumes of the set, and to update parts of the existing volumes, Knuth has created a series of small books called fascicles, which are published at regular intervals. Each fascicle encompasses a section or more of wholly new or revised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete.
Volume 4 Fascicle 6
This fascicle, brimming with lively examples, forms the middle third of what will eventually become hardcover Volume 4B. It introduces and surveys “Satisfiability,’’ one of the most fundamental problems in all of computer science: Given a Boolean function, can its variables be set to at least one pattern of 0s and 1s that will make the function true?
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Satisfiability is far from an abstract exercise in understanding formal systems. Revolutionary methods for solving such problems emerged at the beginning of the twenty-first century, and they’ve led to game-changing applications in industry. These so-called “SAT solvers’’ can now routinely find solutions to practical problems that involve millions of variables and were thought until very recently to be hopelessly difficult.
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Fascicle 6 presents full details of seven different SAT solvers, ranging from simple algorithms suitable for small problems to state-of-the-art algorithms of industrial strength. Many other significant topics also arise in the course of the discussion, such as bounded model checking, the theory of traces, Las Vegas algorithms, phase changes in random processes, the efficient encoding of problems into conjunctive normal form, and the exploitation of global and local symmetries. More than 500 exercises are provided, arranged carefully for self-instruction, together with detailed answers.
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- Sales Rank: #133693 in Books
- Published on: 2015-12-18
- Original language: English
- Number of items: 1
- Dimensions: 9.40" h x .90" w x 6.30" l, .0 pounds
- Binding: Paperback
- 320 pages
About the Author
Donald E. Knuth is known throughout the world for his pioneering work on algorithms and programming techniques, for his invention of the TEX and METAFONT systems for computer typesetting, and for his prolific and influential writing. Professor Emeritus of The Art of Computer Programming at Stanford University, he currently devotes full time to the completion of these fascicles and the seven volumes to which they belong.
Most helpful customer reviews
0 of 1 people found the following review helpful.
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2 of 2 people found the following review helpful.
Volume 4 is growing to contain some very exciting aspects of computer programming.
By Josh Berry
SAT solvers are a topic that I naively covered in college, and then never returned to. As a course to learn how to build a SAT solver, this text provides a variety of methods that can be used for stretching programming muscles.
More, though, the sections at the beginning showing what a SAT solver can be used for are particularly eye opening. In many ways, it paints SAT as a brute force hammer for solving problems. It is an interesting form of brute force that is widely applicable and can still be used, however. I'm looking forward to giving myself time to work on the LIFE transitions problem. (I may cheat and use Knuth's version of SAT solvers posted on his website.)
After that, it is interesting to see the empiricism that goes into analyzing the various algorithms developed. Most that have not read him believe Knuth to be focused on the theoretical limits of algorithms. One need only look at the chart on timings to see that this is not true.
As in previous books, I confess most of the exercises are above my ability. Luckily, you are encouraged to read the answers and should not be put off by the challenge of the problems. Instead, it is the challenges that makes things fun.
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