Introduction to Circuit Complexity
A Uniform Approach
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Beschreibung
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.
Presents a broad view of the field covering all the fundamentals needed to study current research papers Introduces methods and results out of all main subareas. Extensive discussion of the literature at the end of each chapter Contains new material that has never before appeared in a textbook.
Autor*in
Heribert Vollmer
Themen in »Introduction to Circuit Complexity«
Algorithmus Alphabet Berechnungskomplexität Berechnungsmodell Komplexitätsklassen Schaltkreis algorithms boolean circuits complexity complexity theory computability computational complexity computational methods linear algebra logic