Title
On the Complexity of Trial and Error for Constraint Satisfaction Problems.
Abstract
In 2013 Bei, Chen and Zhang introduced a trial and error model of computing, and applied to some constraint satisfaction problems. In this model the input is hidden by an oracle which, for a candidate assignment, reveals some information about a violated constraint if the assignment is not satisfying. In this paper we initiate a systematic study of constraint satisfaction problems in the trial and error model, by adopting a formal framework for CSPs, and defining several types of revealing oracles. Our main contribution is to develop a transfer theorem for each type of the revealing oracle. To any hidden CSP with a specific type of revealing oracle, the transfer theorem associates another CSP in the normal setting, such that their complexities are polynomial-time equivalent. This in principle transfers the study of a large class of hidden CSPs to the study of normal CSPs. We apply the transfer theorems to get polynomial-time algorithms or hardness results for several families of concrete problems.
Year
DOI
Venue
2014
10.1016/j.jcss.2017.07.005
Journal of Computer and System Sciences
Keywords
DocType
Volume
Trial and error,Constraint satisfaction problems,Computational complexity
Journal
92
ISSN
Citations 
PageRank 
0022-0000
3
0.41
References 
Authors
8
5
Name
Order
Citations
PageRank
Gábor Ivanyos125728.02
Raghav Kulkarni217219.48
Youming Qiao39715.55
Miklos Santha472892.42
Aarthi Sundaram543.18