# day26 - Reduction and Equivalence m-1 to edit Master...

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Click to edit Master subtitle style 10/4/11 Reduction and Equivalence m-1, 1-1, Turing Degrees

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10/4/11 Dec 2, © UCF (Charles E. 22 Many-One Reduction Let A and B be two sets. We say A many-one reduces to B, A & m B, if there exists a total recursive function f such that We say that A is many-one equivalent to B, Sets that are many-one equivalent are in some sense equally hard or easy.
10/4/11 Dec 2, © UCF (Charles E. 33 Many-One Degrees The relationship A ] m B is an equivalence relationship (why?) If A & m B, we say A and B are of the same many-one degree (of unsolvability). Decidable problems occupy three m-1 The hierarchy of undecidable m-1 degrees is an infinite lattice (I’ll discuss in class)

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10/4/11 Dec 2, © UCF (Charles E. 44 One-One Reduction Let A and B be two sets. We say A one-one reduces to B, A & 1 B,
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## This note was uploaded on 10/03/2011 for the course COT 5310 taught by Professor Staff during the Spring '08 term at University of Central Florida.

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day26 - Reduction and Equivalence m-1 to edit Master...

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