Buch, Englisch, 602 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 925 g
Reihe: Texts in Theoretical Computer Science. An EATCS Series
Buch, Englisch, 602 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 925 g
Reihe: Texts in Theoretical Computer Science. An EATCS Series
ISBN: 978-3-642-08217-7
Verlag: Springer
The foundations of computational complexity theory go back to Alan Thring in the 1930s who was concerned with the existence of automatic procedures deciding the validity of mathematical statements. The first example of such a problem was the undecidability of the Halting Problem which is essentially the question of debugging a computer program: Will a given program eventu ally halt? Computational complexity today addresses the quantitative aspects of the solutions obtained: Is the problem to be solved tractable? But how does one measure the intractability of computation? Several ideas were proposed: A. Cobham [Cob65] raised the question of what is the right model in order to measure a "computation step", M. Rabin [Rab60] proposed the introduction of axioms that a complexity measure should satisfy, and C. Shannon [Sha49] suggested the boolean circuit that computes a boolean function. However, an important question remains: What is the nature of computa tion? In 1957, John von Neumann [vN58] wrote in his notes for the Silliman Lectures concerning the nature of computation and the human brain that. logics and statistics should be primarily, although not exclusively, viewed as the basic tools of 'information theory'. Also, that body of experience which has grown up around the planning, evaluating, and coding of complicated logical and mathematical automata will be the focus of much of this information theory. The most typical, but not the only, such automata are, of course, the large electronic computing machines.
Zielgruppe
Graduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Programmierung: Methoden und Allgemeines
- Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
- Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
- Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Funktionale, Logische, Parallele und Visuelle Programmierung
- Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
Weitere Infos & Material
1. Boolean Functions and Circuits.- 2. Circuit Lower Bounds.- 3. Circuit Upper Bounds.- 4. Randomness and Satisfiability.- 5. Propositional Proof Systems.- 6. Machine Models and Function Algebras.- 7. Higher Types.- References.
