STAT 2507 Study Guide - Final Guide: If And Only If
23 Oct 2020
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Show that p is closed under homomorphism iff p = np. A homomorphism is defined as a function on strings with the property that. A nonerasing homomorphism is defined as a homomorphism such that is not an empty string, for any character. As it is known that both and are closed under other operations, except for the homomorphism operation. To see both of the class and are not closed under homomorphism, first of all initialize with a very hard language , which requires a time complexity of. It can be made easy by appending each word of length exactly to and is unique on all symbols of a homomorphism that send c s, where c denotes a new symbol. That is, suppose then it can be said that is surely in and . If and are closed under homomorphism, then would be in.
