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Electronic Colloquium on Computational Complexity

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

Tractable Unordered 3-CNF Games

Revisions: 1

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 >>>


TR19-158 | 11th November 2019
Stasys Jukna, Hannes Seiwert

Sorting Can Exponentially Speed Up Pure Dynamic Programming

Many discrete minimization problems, including various versions of the shortest path problem, can be efficiently solved by dynamic programming (DP) algorithms that are ``pure'' in that they only perform basic operations, as $\min$, $\max$, $+$, but no conditional branchings via if-then-else in their recursion equations. It is known that any ... more >>>



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