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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Bounded Queries in Recursion Theory (Paperback, Softcover reprint of the original 1st ed. 1999)
Loot Price: R1,837
Discovery Miles 18 370
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Bounded Queries in Recursion Theory (Paperback, Softcover reprint of the original 1st ed. 1999)
Series: Progress in Computer Science and Applied Logic, 16
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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."
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