We study the approximability of two natural Boolean constraint satisfaction problems: Horn satisfiability and exact hitting set. Under the Unique Games conjecture, we prove the fo...
Abstract--There has been a sequence of recent papers devoted to understanding the relation between the testability of properties of Boolean functions and the invariance of the prop...
Arnab Bhattacharyya, Elena Grigorescu, Asaf Shapir...
An errorless circuit for a boolean function is one that outputs the correct answer or "don't know" on each input (and never outputs the wrong answer). The goal of e...
Assuming the existence of one-way functions, we show that there is no polynomial-time, differentially private algorithm A that takes a database D ({0, 1}d )n and outputs a "...
An (r, , )-locally decodable code encodes a k-bit message x to an N-bit codeword C(x), such that for every i [k], the i-th message bit can be recovered with probability 1 - , by ...
Locally decodable codes are error-correcting codes that admit efficient decoding algorithms; any bit of the original message can be recovered by looking at only a small number of ...