Bounded Queries in Recursion Theory
Levine, William S.; Gasarch, William; Martin, Georgia
ISBN 10: 1461268486 ISBN 13: 9781461268482
Editorial: Springer-Verlag New York Inc., 2013
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Descripción:
Series: Progress in Computer Science and Applied Logic. Num Pages: 353 pages, biography. BIC Classification: PBD; PBKF; PBKS; PBW; UYAM. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 20. Weight in Grams: 569. . 2013. Softcover reprint of the original 1st ed. 1999. Paperback. . . . . N° de ref. del artículo V9781461268482
Sinopsis:
One of the major concerns of theoretical computer science is the classifi cation of problems in terms of how hard they are. The natural measure of difficulty of a function is the amount of time needed to compute it (as a function of the length of the input). Other resources, such as space, have also been considered. In recursion theory, by contrast, a function is considered to be easy to compute if there exists some algorithm that computes it. We wish to classify functions that are hard, i.e., not computable, in a quantitative way. We cannot use time or space, since the functions are not even computable. We cannot use Turing degree, since this notion is not quantitative. Hence we need a new notion of complexity-much like time or spac~that is quantitative and yet in some way captures the level of difficulty (such as the Turing degree) of a function.
Críticas:
"Ideal for an advanced undergraduate or beginning graduate student who has some exposure to basic computability theory and wants to see what one can do with it. The questions asked are interesting and can be easily understood and the proofs can be followed without a large amount of training in computability theory."
--Sigact News
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Detalles bibliográficos
Título: Bounded Queries in Recursion Theory
Editorial: Springer-Verlag New York Inc.
Año de publicación: 2013
Encuadernación: Encuadernación de tapa blanda
Condición: New
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ISBN 10: 1461268486
ISBN 13: 9781461268482
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Paperback. Condición: new. Paperback. One of the major concerns of theoretical computer science is the classifi cation of problems in terms of how hard they are. The natural measure of difficulty of a function is the amount of time needed to compute it (as a function of the length of the input). Other resources, such as space, have also been considered. In recursion theory, by contrast, a function is considered to be easy to compute if there exists some algorithm that computes it. We wish to classify functions that are hard, i.e., not computable, in a quantitative way. We cannot use time or space, since the functions are not even computable. We cannot use Turing degree, since this notion is not quantitative. Hence we need a new notion of complexity-much like time or spac~that is quantitative and yet in some way captures the level of difficulty (such as the Turing degree) of a function. The natural measure of difficulty of a function is the amount of time needed to compute it (as a function of the length of the input). In recursion theory, by contrast, a function is considered to be easy to compute if there exists some algorithm that computes it. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9781461268482
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Bounded Queries in Recursion Theory
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Birkhäuser Boston, Birkhäuser Boston Jul 2013, 2013
ISBN 10: 1461268486
ISBN 13: 9781461268482
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -One of the major concerns of theoretical computer science is the classifi cation of problems in terms of how hard they are. The natural measure of difficulty of a function is the amount of time needed to compute it (as a function of the length of the input). Other resources, such as space, have also been considered. In recursion theory, by contrast, a function is considered to be easy to compute if there exists some algorithm that computes it. We wish to classify functions that are hard, i.e., not computable, in a quantitative way. We cannot use time or space, since the functions are not even computable. We cannot use Turing degree, since this notion is not quantitative. Hence we need a new notion of complexity-much like time or spac~that is quantitative and yet in some way captures the level of difficulty (such as the Turing degree) of a function. 372 pp. Englisch. Nº de ref. del artículo: 9781461268482
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Bounded Queries in Recursion Theory
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ISBN 10: 1461268486
ISBN 13: 9781461268482
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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -One of the major concerns of theoretical computer science is the classifi cation of problems in terms of how hard they are. The natural measure of difficulty of a function is the amount of time needed to compute it (as a function of the length of the input). Other resources, such as space, have also been considered. In recursion theory, by contrast, a function is considered to be easy to compute if there exists some algorithm that computes it. We wish to classify functions that are hard, i.e., not computable, in a quantitative way. We cannot use time or space, since the functions are not even computable. We cannot use Turing degree, since this notion is not quantitative. Hence we need a new notion of complexity-much like time or spac~that is quantitative and yet in some way captures the level of difficulty (such as the Turing degree) of a function.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 372 pp. Englisch. Nº de ref. del artículo: 9781461268482
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Bounded Queries in Recursion Theory (Progress in Computer Science and Applied Logic)
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ISBN 10: 1461268486
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Bounded Queries in Recursion Theory
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ISBN 10: 1461268486
ISBN 13: 9781461268482
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - One of the major concerns of theoretical computer science is the classifi cation of problems in terms of how hard they are. The natural measure of difficulty of a function is the amount of time needed to compute it (as a function of the length of the input). Other resources, such as space, have also been considered. In recursion theory, by contrast, a function is considered to be easy to compute if there exists some algorithm that computes it. We wish to classify functions that are hard, i.e., not computable, in a quantitative way. We cannot use time or space, since the functions are not even computable. We cannot use Turing degree, since this notion is not quantitative. Hence we need a new notion of complexity-much like time or spac~that is quantitative and yet in some way captures the level of difficulty (such as the Turing degree) of a function. Nº de ref. del artículo: 9781461268482
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Bounded Queries in Recursion Theory
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ISBN 10: 1461268486
ISBN 13: 9781461268482
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