期刊全称 | Bounded Queries in Recursion Theory | 影响因子2023 | William I. Gasarch,Georgia A. Martin | 视频video | | 学科分类 | Progress in Computer Science and Applied Logic | 图书封面 |  | 影响因子 | 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. | Pindex | Book 1999 |
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