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Titlebook: Boolean Functions and Computation Models; Peter Clote,Evangelos Kranakis Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 Beweissystem

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期刊全稱Boolean Functions and Computation Models
影響因子2023Peter Clote,Evangelos Kranakis
視頻videohttp://file.papertrans.cn/190/189780/189780.mp4
發(fā)行地址A survey of the present state of the art by internationally well-known authors.Focus on "fast" parallel computation.Includes numerous exercises ranging in difficulty.Includes supplementary material:
學科分類Texts in Theoretical Computer Science. An EATCS Series
圖書封面Titlebook: Boolean Functions and Computation Models;  Peter Clote,Evangelos Kranakis Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 Beweissystem
影響因子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
Pindex Textbook 2002
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Boolean Functions and Circuits,rs, energy consumption of a chip, etc.) needed in determining whether or not . ∈ ., for any string . ∈ Σ*. In turn, if for any . we let .. denote the characteristic function of . ∩{0, 1}., then the previous question can be rephrased as a problem of determining the computational resources needed to compute the boolean function ..., for arbitrary ..
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Propositional Proof Systems,ped proof theory, attempting to prove the consistency of mathematics by finite combinatorial means; however, Hilbert’s program was shown to be unrealizable by G?del in his 1931 Incompleteness Theorem..
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