The Art Of Computer Programming Volume 4 Fascicle 7 Constraint Satisfaction 1st Edition Donald Knuth by Donald Knuth 9780135328248, 0135328241 instant download after payment.

This booklet is Fascicle 7 of The Art of Computer Programming, Volume 4: Combinatorial Algorithms ...
To put the material in context, this lengthy fascicle contains part of a long, long chapter on combinatorial searching. Chapter 7 will eventually fill at least four volumes (namely Volumes 4A, 4B, 4C, and 4D), assuming that I’m able to remain healthy. It begins in Volume 4A with a short review of graph theory and a longer discussion of “Zeros and Ones” (Section 7.1); that volume concludes with Section 7.2.1, “Generating Basic Combinatorial Patterns,” which is the first part of Section 7.2, “Generating All Possibilities.” Volume 4B resumes the story with Section 7.2.2, about backtracking in general. Section 7.2.2.1 discusses a family of methods called “dancing links,” for updating data structures while backtracking, and shows that such methods are particularly successful when applied to XCC problems—“exact covering with colors.” That sets the scene for Section 7.2.2.2, which fills the rest of Volume 4B; it is devoted to the important problem of Boolean satisfiability, aka ‘SAT’.

Now comes Volume 4C, whose first third will eventually consist of the contents of the present fascicle. Our theme, “constraint satisfaction,” is Section 7.2.2.3, and it takes the concepts of Sections 7.2.2.1 and 7.2.2.2 to a higher level. A fresh look at the basic notions leads to significant improvements and many individual topics of independent interest. Once again it has been a great pleasure for me to put these stories together, and I hope that I can convey the joy of what I’ve learned to as many people as possible.