Title
The Choice and Agreement Problems of a Random Function.
Abstract
The direct-sum question is a classical question that asks whether performing a task on m independent inputs is m times harder than performing it on a single input. In order to study this question, Beimel et al. [3] introduced the following related problems:•The choice problem: Given m distinct instances, choose one of them and solve it.•The agreement problem: Given m distinct instances, output a solution that is correct for at least one of them. It is easy to see that these problems are no harder than performing the original task on a single instance, and it is natural to ask whether it is strictly easier or not. In particular, proving that the choice problem is not easier is necessary for proving a direct-sum theorem, and is also related to the KRW composition conjecture [12].
Year
DOI
Venue
2018
10.1016/j.ipl.2017.12.007
Information Processing Letters
Keywords
DocType
Volume
Computational complexity,Agree,Choose,Direct sum,KRW composition conjecture
Journal
133
ISSN
Citations 
PageRank 
0020-0190
0
0.34
References 
Authors
3
2
Name
Order
Citations
PageRank
Or Meir16610.47
Avishay Tal25811.83