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A Self-Tester for Linear Functions over the Integers with an Elementary Proof of Correctness

Author(s)
Devadas, Sheela; Rubinfeld, Ronitt; Devadas, Srinivas
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Abstract
We present simple, self-contained proofs of correctness for algorithms for linearity testing and program checking of linear functions on finite subsets of integers represented as n-bit numbers. In addition we explore a generalization of self-testing to homomorphisms on a multidimensional vector space. We show that our self-testing algorithm for the univariate case can be directly generalized to vector space domains. The number of queries made by our algorithms is independent of domain size.
Date issued
2015-06
URI
http://hdl.handle.net/1721.1/103636
Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory; Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science; Massachusetts Institute of Technology. Department of Mathematics
Journal
Theory of Computing Systems
Publisher
Springer US
Citation
Devadas, Sheela, and Ronitt Rubinfeld. “A Self-Tester for Linear Functions over the Integers with an Elementary Proof of Correctness.” Theory of Computing Systems 59.1 (2016): 99–111.
Version: Author's final manuscript
ISSN
1432-4350
1433-0490

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