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Titlebook: A Programming Approach to Computability; A. J. Kfoury,Robert N. Moll,Michael A. Arbib Textbook 1982 Springer-Verlag New York Inc. 1982 Ber

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期刊全稱A Programming Approach to Computability
影響因子2023A. J. Kfoury,Robert N. Moll,Michael A. Arbib
視頻videohttp://file.papertrans.cn/142/141954/141954.mp4
學科分類Monographs in Computer Science
圖書封面Titlebook: A Programming Approach to Computability;  A. J. Kfoury,Robert N. Moll,Michael A. Arbib Textbook 1982 Springer-Verlag New York Inc. 1982 Ber
影響因子Computability theory is at the heart of theoretical computer science. Yet, ironically, many of its basic results were discovered by mathematical logicians prior to the development of the first stored-program computer. As a result, many texts on computability theory strike today‘s computer science students as far removed from their concerns. To remedy this, we base our approach to computability on the language of while-programs, a lean subset of PASCAL, and postpone consideration of such classic models as Turing machines, string-rewriting systems, and p. -recursive functions till the final chapter. Moreover, we balance the presentation of un solvability results such as the unsolvability of the Halting Problem with a presentation of the positive results of modern programming methodology, including the use of proof rules, and the denotational semantics of programs. Computer science seeks to provide a scientific basis for the study of information processing, the solution of problems by algorithms, and the design and programming of computers. The last 40 years have seen increasing sophistication in the science, in the microelectronics which has made machines of staggering complexity eco
Pindex Textbook 1982
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Interactions Between Componentsctions so computed will be partial functions. In Section 1.1 we discuss partial functions and their computability by different families of algorithms. In Section 1.2 we give an example of an unsolvability or noncom-putability result—showing that no program can compute for an arbitrary number . wheth
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Gautam Yadama,Margie DeWeese-Boyd MA and PhDage like pascal. We have gone far to justify the claim that .-programs are complete, i.e., that any algorithm at all can be translated into a .-program. As we have already seen in our discussion of various undecidable problems in Section 4.3, this very breadth of expressive power exacts a price. Man
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Gautam Yadama,Margie DeWeese-Boyd MA and PhDs to represent the programs which compute these functions. Conveniently, the natural numbers also serve as the domain and codomain for functions in the class. Using this machinery, we were able to identify an important role for self-reference in our theory, and we were able to present natural exampl
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Gautam Yadama,Margie DeWeese-Boyd MA and PhDted on the belief, embodied in Church’s Thesis, that the class of computable functions is model invariant: The .-program computable functions include the function classes that are definable by any other system, so long as that system matches our informal notion of algorithmic specification.
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