Full Description
An advanced textbook giving a broad, modern view of the computational complexity theory of boolean circuits, with extensive references, for theoretical computer scientists and mathematicians.
Contents
1. Complexity Measures and Reductions.- 2. Relations to Other Computation Models.- 3. Lower Bounds.- 4. The NC Hierarchy.- 5. Arithmetic Circuits.- 6. Polynomial Time and Beyond.- Appendix: Mathematical Preliminaries.- A1 Alphabets, Words, Languages.- A2 Binary Encoding.- A3 Asymptotic Behavior of Functions.- A4 Turing Machines.- A5 Logic.- A6 Graphs.- A7 Numbers and Functions.- A8 Algebraic Structures.- A9 Linear Algebra.- List of Figures.- Author Index.
