Gems of Theoretical Computer Science [Paperback]

This book assembles some of the most important problems and solutions in theoretical computer science-from computability, logic, circuit theory, and complexity. The book presents these important results with complete proofs in an understandable form. It also presents previously open problems that have found (perhaps unexpected) solutions, and challenges the reader to pursue further active research in computer science.While I was visiting Boston University during the 1996-97 academic year, I noticed a small book, written in German, on a shelf in Steve Homer's office. Curious, I borrowed it for my train ride home and began reading one of the chapters. I liked the style and format of the book so much that over the course of the next few months I frequently found myself reaching for it and working through one chapter or another. This was my introduction to Peden der Theoretischen Informatik. A few of my colleagues had also seen the book. They also found it inter? esting, but most of them did not read German well enough to read more than small portions of it enjoyably. I hope that the English version will rectify this situation, and that many will enjoy (and learn from) the English version as much as I enjoyed the German version. The front matter of this book says that it has been translated, revised, and expanded. I should perhaps say a few words about each of these tasks. In translating the book, I have tried as much as possible to retain the feel of the original, which is somewhat less formal and impersonal than a typical text book yet relatively concise. I certainly hope that the pleasure of the pursuit of understanding has not gotten lost in the translation.The Priority Method.- Hilbert's Tenth Problem.- LOOP Programs.- Bottom Drawers for Resolution Proofs.- The Spectral Problem.- Kolmogorov Complexity.- Circuits for the Parity Function.- PAC Learning.- The Berman-Hartmanis Conjecture.- Collaborating Hierarchies.- Equivalence of Branching Programs.- Craig Interplc