Introduction to Circuit Complexity A Uniform Approach

This advanced textbook presents a broad and up-to-date view of the computational complexity theory of Boolean circuits. It combines the algorithmic and the computability-based approach, and includes extensive discussion of the literature to facilitate further study. It begins with efficient Boolean...

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Bibliographic Details
Main Author: Vollmer, Heribert
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1999, 1999
Edition:1st ed. 1999
Series:Texts in Theoretical Computer Science. An EATCS Series
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Introduction to Circuit Complexity  |h Elektronische Ressource  |b A Uniform Approach  |c by Heribert Vollmer 
250 |a 1st ed. 1999 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1999, 1999 
300 |a XI, 272 p  |b online resource 
505 0 |a 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 
653 |a Electronics and Microelectronics, Instrumentation 
653 |a Computer science 
653 |a Algorithms 
653 |a Computational Mathematics and Numerical Analysis 
653 |a Mathematics / Data processing 
653 |a Formal Languages and Automata Theory 
653 |a Machine theory 
653 |a Electronics 
653 |a Theory of Computation 
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490 0 |a Texts in Theoretical Computer Science. An EATCS Series 
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520 |a This advanced textbook presents a broad and up-to-date view of the computational complexity theory of Boolean circuits. It combines the algorithmic and the computability-based approach, and includes extensive discussion of the literature to facilitate further study. It begins with efficient Boolean circuits for problems with high practical relevance, e.g., arithmetic operations, sorting, and transitive closure, then compares the computational model of Boolean circuits with other models such as Turing machines and parallel machines. Examination of the complexity of specific problems leads to the definition of complexity classes. The theory of circuit complexity classes is then thoroughly developed, including the theory of lower bounds and advanced topics such as connections to algebraic structures and to finite model theory