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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > ANDREW MORGAN:
All reports by Author Andrew Morgan:

TR22-115 | 17th August 2022
Dieter van Melkebeek, Andrew Morgan

Polynomial Identity Testing via Evaluation of Rational Functions

We introduce a hitting set generator for Polynomial Identity Testing
based on evaluations of low-degree univariate rational functions at
abscissas associated with the variables. Despite the univariate
nature, we establish an equivalence up to rescaling with a generator
introduced by Shpilka and Volkovich, which has a similar structure but
uses ... more >>>


TR17-158 | 23rd October 2017
Eric Allender, Joshua Grochow, Dieter van Melkebeek, Cris Moore, Andrew Morgan

Minimum Circuit Size, Graph Isomorphism, and Related Problems

We study the computational power of deciding whether a given truth-table can be described by a circuit of a given size (the Minimum Circuit Size Problem, or MCSP for short), and of the variant denoted as MKTP where circuit size is replaced by a polynomially-related Kolmogorov measure. All prior reductions ... more >>>




ISSN 1433-8092 | Imprint