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- W1985343313 abstract "It is unknown whether Cook reducibility of a set A to a set B—that is reduction of A to B via a Turing machine operating in polynomial time with “free” procedural calls to an algorithm for B—is more general than Karp reducibility—that is reduction of A to B via a function computable in polynomial time—on sets in NP. While we conjecture that Cook reducibility is indeed a more general notion than Karp reducibility on sets in NP, proving this would imply that P NP. Here we investigate more tractable subcases of the problem. For example, we prove that Cook reducibility is much faster than Karp reducibility on some classes of NP-complete sets. We also prove that for some classes of NP-complete sets Cook reductions between members of the classes can be both linearly fast and “linearly honest” while any Karp reduction must be highly “dishonest.”" @default.
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- W1985343313 date "1990-12-01" @default.
- W1985343313 modified "2023-09-23" @default.
- W1985343313 title "Cook reducibility is faster than Karp reducibility in NP" @default.
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- W1985343313 doi "https://doi.org/10.1016/0022-0000(90)90026-h" @default.
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