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What (who) is reducibility$67956$ - definition
ONE OF THE MAIN IDEAS PROPOSED BY STEPHEN WOLFRAM
Computational reducibility
Weihrauch reducibility
NOTION FROM COMPUTABILITY
Draft:Manlio Valenti; Draft:Weihrauch reducibility; Weihrauch reducible
In computable analysis, Weihrauch reducibility is a notion of reducibility between multi-valued functions on represented spaces that roughly captures the uniform computational strength of computational problems. It was originally introduced by Klaus Weihrauch in an unpublished 1992 technical report.
Weyl's theorem on complete reducibility
THEOREM STATING THAT, OVER CHARACTERISTIC 0 ALGEBRAICALLY CLOSED FIELDS, REPRESENTATIONS OF SEMISIMPLE LIE ALGEBRAS ARE UNIQUELY DECOMPOSED INTO DIRECT SUMS OF IRREDUCIBLE REPRESENTATIONS
Weyl's completely reducibility theorem; Weyl's complete reducibility theorem
In algebra, Weyl's theorem on complete reducibility is a fundamental result in the theory of Lie algebra representations (specifically in the representation theory of semisimple Lie algebras). Let \mathfrak{g} be a semisimple Lie algebra over a field of characteristic zero.
Random self-reducibility
PROPERTY OF AN ALGORITHM THAT IMPLIES THAT ITS WORST-CASE COMPLEXITY IS EQUAL TO ITS MEAN-COMPLEXITY
Random Self-reducibility; Random self-reducible
Random self-reducibility (RSR) is the rule that a good algorithm for the average case implies a good algorithm for the worst case. RSR is the ability to solve all instances of a problem by solving a large fraction of the instances.
Wikipedia
Computational irreducibility
Computational irreducibility is one of the main ideas proposed by Stephen Wolfram in his 2002 book A New Kind of Science, although the concept goes back to studies from the 1980s.
