Bounded Queries in Recursion Theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
1999
|
| Series: | Progress in Computer Science and Applied Logic
16 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XIII, 353 p) |
| ISBN: | 9781461206354 9781461268482 |
| DOI: | 10.1007/978-1-4612-0635-4 |
Staff View
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Record in the Search Index
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| discipline | Informatik Mathematik |
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| indexdate | 2024-07-10T01:21:05Z |
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| isbn | 9781461206354 9781461268482 |
| language | English |
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| spelling | Gasarch, William I. Verfasser aut Bounded Queries in Recursion Theory by William I. Gasarch, Georgia A. Martin Boston, MA Birkhäuser Boston 1999 1 Online-Ressource (XIII, 353 p) txt rdacontent c rdamedia cr rdacarrier Progress in Computer Science and Applied Logic 16 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 Computer science Information theory Computational complexity Operator theory Mathematics Computer science / Mathematics Computer Science Math Applications in Computer Science Operator Theory Theory of Computation Discrete Mathematics in Computer Science Computational Mathematics and Numerical Analysis Applications of Mathematics Informatik Mathematik Rekursionstheorie (DE-588)4122329-9 gnd rswk-swf Rekursionstheorie (DE-588)4122329-9 s 1\p DE-604 Martin, Georgia A. Sonstige oth https://doi.org/10.1007/978-1-4612-0635-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gasarch, William I. Bounded Queries in Recursion Theory Computer science Information theory Computational complexity Operator theory Mathematics Computer science / Mathematics Computer Science Math Applications in Computer Science Operator Theory Theory of Computation Discrete Mathematics in Computer Science Computational Mathematics and Numerical Analysis Applications of Mathematics Informatik Mathematik Rekursionstheorie (DE-588)4122329-9 gnd |
| subject_GND | (DE-588)4122329-9 |
| title | Bounded Queries in Recursion Theory |
| title_auth | Bounded Queries in Recursion Theory |
| title_exact_search | Bounded Queries in Recursion Theory |
| title_full | Bounded Queries in Recursion Theory by William I. Gasarch, Georgia A. Martin |
| title_fullStr | Bounded Queries in Recursion Theory by William I. Gasarch, Georgia A. Martin |
| title_full_unstemmed | Bounded Queries in Recursion Theory by William I. Gasarch, Georgia A. Martin |
| title_short | Bounded Queries in Recursion Theory |
| title_sort | bounded queries in recursion theory |
| topic | Computer science Information theory Computational complexity Operator theory Mathematics Computer science / Mathematics Computer Science Math Applications in Computer Science Operator Theory Theory of Computation Discrete Mathematics in Computer Science Computational Mathematics and Numerical Analysis Applications of Mathematics Informatik Mathematik Rekursionstheorie (DE-588)4122329-9 gnd |
| topic_facet | Computer science Information theory Computational complexity Operator theory Mathematics Computer science / Mathematics Computer Science Math Applications in Computer Science Operator Theory Theory of Computation Discrete Mathematics in Computer Science Computational Mathematics and Numerical Analysis Applications of Mathematics Informatik Mathematik Rekursionstheorie |
| url | https://doi.org/10.1007/978-1-4612-0635-4 |
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