We give similar hard-core theorems in a general setting. This approach enables us to see what abstract properties a complexity class need have for a hard-core.
In this paper, general theorems of this kind that can be applied to several well-known automata-based complexity classes, including a common class of randomized ...
General theorems of this kind that can be applied to several well-known automata-based complexity classes, including a common class of randomized algorithms ...
The basic result (Theorem 2.7) gives conditions under which a set not in a class B must possess an infinite proper hard core with respect to g Conditions on the ...
People also ask
What are the four complexity classes involving randomized algorithms?
Apr 19, 2011 · We study a fundamental result of Impagliazzo (FOCS'95) known as the hard-core set lemma. Consider any function f : { 0 , 1 } n → { 0 ...
We introduce a theory of average-case complexity which refers to computational problems coupled with probability distributions.
Sep 13, 2021 · We prove three results on the dimension structure of complexity classes. 1. The Point-to-Set Principle, which has recently been used to prove several new ...
H astad's Theorem (Theorem 2) led hope that circuit complexity could now lead to perhaps a combinatorial separation of machine-based complexity classes. Since ...
Mar 20, 2007 · In this lecture, we examine how hard it is to compute, or even to approximately compute, boolean functions with small circuits.
Apr 19, 2011 · Abstract. We study a fundamental result of Impagliazzo (FOCS'95) known as the hard-core set lemma. Consider any function f : {0,1}n →.