Gorilla
发表于 2025-3-27 00:51:58
https://doi.org/10.1007/978-1-4757-2696-1In their pioneering work of 1984, Furst, Saxe and Sipser introduced the method of “random restrictions” to achieve lower bounds for circuits: The parity function cannot be computed by an AND-OR circuit of polynomial size and constant depth.
Acetaminophen
发表于 2025-3-27 04:53:00
The Meaning of the Constitutive Equation,The lower bound theory for circuits received an additional boost through algebraic techniques (in combination with probabilistic techniques) that go back to Razborov and Smolensky.
MAPLE
发表于 2025-3-27 07:43:26
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傻
发表于 2025-3-27 12:46:47
https://doi.org/10.1007/978-1-4757-2257-4If all NP-complete languages were P-isomorphic to each other, then it would follow that P ≠ NP. This “Isomorphism Conjecture” has been the starting point of much research, in particular into sparse sets and their potential to be NP-complete.
facetious
发表于 2025-3-27 15:27:02
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废除
发表于 2025-3-27 21:37:40
https://doi.org/10.1007/978-1-4471-3774-0The following results suggest that the Graph Isomorphism problem is not NP-complete, since, unlike the known NP-complete problems, Graph Isomorphism belongs to a class that can be defined by means of the BPoperator, an operator that has proven useful in many other applications as well.
NORM
发表于 2025-3-28 01:08:37
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大喘气
发表于 2025-3-28 02:48:15
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Frequency-Range
发表于 2025-3-28 06:31:16
,Hilbert’s Tenth Problem,Hilbert’s Tenth Problem goes back to the year 1900 and concerns a fundamental question, namely whether there is an algorithmic method for solving Diophantine equations. The ultimate solution to this problem was not achieved until 1970. The “solution” wets, however, a negative one: there is no such algorithm.
柔美流畅
发表于 2025-3-28 11:41:40
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