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Electronic Colloquium on Computational Complexity

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TR19-161 | 13th November 2019
Suprovat Ghoshal, Rishi Saket

Hardness of Learning DNFs using Halfspaces

The problem of learning $t$-term DNF formulas (for $t = O(1)$) has been studied extensively in the PAC model since its introduction by Valiant (STOC 1984). A $t$-term DNF can be efficiently learnt using a $t$-term DNF only if $t = 1$ i.e., when it is an AND, while even ... more >>>


TR19-160 | 10th November 2019
Md Lutfar Rahman, Thomas Watson

Tractable Unordered 3-CNF Games

The classic TQBF problem can be viewed as a game in which two players alternate turns assigning truth values to a CNF formula's variables in a prescribed order, and the winner is determined by whether the CNF gets satisfied. The complexity of deciding which player has a winning strategy in ... more >>>


TR19-159 | 11th November 2019
Noah Stephens-Davidowitz, Vinod Vaikuntanathan

SETH-hardness of Coding Problems

We show that assuming the strong exponential-time hypothesis (SETH), there are no non-trivial algorithms for the nearest codeword problem (NCP), the minimum distance problem (MDP), or the nearest codeword problem with preprocessing (NCPP) on linear codes over any finite field. More precisely, we show that there are no NCP, MDP, ... more >>>



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