Titlebook: Limits of Computation; From a Programming P Bernhard Reus Textbook 2016 The Editor(s) (if applicable) and The Author(s), under exclusive li

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Bernhard ReusIllustrates proofs by means of programs written in a high-level imperative programming language.Includes chapters on the emergent fields of molecular and quantum computing.Highlights countless connect

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Undergraduate Topics in Computer Sciencehttp://image.papertrans.cn/l/image/586194.jpg

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The Church-Turing Thesislanguages are equally powerful in the sense that anything that can be programmed in one can be also programmed in any other. This provides evidence for the so-called Church-Turing thesis, that all reasonable formalizations of the intuitive notion of effective computability are equivalent.

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Self-referencing Programsnciple. Applications of the theorem are discussed and another theorem of Kleene’s, the parameterisation theorem, is shown, which provides the semantic justification of partial evaluation, a well-known program optimisation technique.

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Robustness of ,hesis. A third, more questionable, thesis, often called Cobham–Edmonds thesis, states that the class of polynomially decidable problems is the class of feasible problems. The above mentioned theses will be discussed and evaluated.

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1863-7310 molecular and quantum computing.Highlights countless connect.This textbook discusses the most fundamental and puzzling questions about the foundations of computing. In 23 lecture-sized chapters it provides an exciting tour through the most important results in the field of computability and time com

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Complexity Classess will be mainly on linear, polynomial and exponential time. The Big-O and little-o notation are introduced to describe the order of growth of a function. independent from constant factors. This is in line with asymptotic worst-case complexity which we will be using throughout.