A Programming Approach to Computability.pdf

A Programming Approach to Computability PDF

Michael A. Arbib

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 todays 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 economically feasible, in the advances in programming methodology which allow immense programs to be designed with increasing speed and reduced error, and in the develop­ ment of mathematical techniques to allow the rigorous specification of program, process, and machine.

Computability and Complexity from a Programming Perspective (MFPS Draft preview) ... Savitch, etc., some new results have come from the alternative approach. Each Turing machine is determined by a program which is a finite sequence of symbols from a ... We say that φe is the partial Turing computable function with index e. ... A synthetic approach to computation consists in the study of constructive ...

5.52 MB DATEIGRÖSSE
1461257514 ISBN
Englisch SPRACHE
A Programming Approach to Computability.pdf

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Sofia Voigt

A Programming Approach To Computability - … A Programming Approach To Computability è un libro di Kfoury A.J., Moll Robert N., Arbib Michael A. edito da Springer a novembre 2011 - EAN 9781461257516: puoi acquistarlo sul sito HOEPLI.it, la grande libreria online.

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Matteo Müller

KFOURY, A. J., Robert N. MOLL a Michael A. ARBIB. A programming approach to computability.New York: Springer-Verlag, 1982. viii, 251. ISBN 0-387-90743-2.

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Noel Schulze

25 Jan 2011 ... Davis' approach using recursive functions, although algorithmically ... [2], that bases computability on a very simple programming language.

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Jason Lehmann

This item appears in the following Collection(s) Engineering, College of - Technical Reports Introduction to Programming in Java · Computer …

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Jessica Kohmann

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 …