Limits of computation
an introduction to the undecidable and the intractable
Reiter, Edna E. (Edna Elizabeth)
creator
Johnson, Clayton Matthew.
text
bibliography
Electronic books.
flu
Boca Raton
CRC Press
2013
monographic
eng
application/PDF
xix, 259 p. : ill.
"Preface To the student: We think that the theory dealing with what is hard about computation (and what is impossible!) is challenging but fun. This book grows out of these ideas, and our approach to teaching a course in computational complexity. There is no doubt that some of the material in these chapters is what might be called "wrap your brain around it" material, where a first reaction might be that the authors are pulling off a trick like a magician pulling a rabbit out of a hat. For instance, consider the proof--using proof by contradiction--that there can be no algorithm to tell whether a program written in C++ will go into an infinite loop. One reaction upon reaching the contradiction at the end of the proof might be that there must be a misstep somewhere in the proof; another might be that there cannot really be a contradiction. Only after reading, rereading, and carefully considering each step can the student buy in to the proof. There are no shortcuts here; this is not reading to be done with the television playing in the background. There are also diversions here, such as the bridges of K.
ch. 1. Set theory -- ch. 2. Languages : alphabets, strings, and languages -- ch. 3. Algorithms -- ch. 4. Turing machines -- ch. 5. Turing-completeness -- ch. 6. Undecidability -- ch. 7. Undecidability and reducibility -- ch. 8. Classes NP and NP-complete -- ch. 9. More NP-complete problems -- ch. 10. Other interesting questions and classes.
Edna E. Reiter, Clayton Matthew Johnson.
"A Chapman & Hall book."
Includes bibliographical references (p. 253-254) and index.
Also available in print edition.
Mode of access: World Wide Web.
Computational complexity
9781439882078 (ebook : PDF)
http://marc.crcnetbase.com/isbn/9781439882078
http://marc.crcnetbase.com/isbn/9781439882078
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