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Electronic Colloquium on Computational Complexity

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TR22-041 | 23rd March 2022
Tsun-Ming Cheung, Hamed Hatami, Rosie Zhao, Itai Zilberstein

Boolean functions with small approximate spectral norm

The sum of the absolute values of the Fourier coefficients of a function $f:\mathbb{F}_2^n \to \mathbb{R}$ is called the spectral norm of $f$. Green and Sanders' quantitative version of Cohen's idempotent theorem states that if the spectral norm of $f:\mathbb{F}_2^n \to \{0,1\}$ is at most $M$, then the support of ... more >>>


TR22-040 | 10th March 2022
Benjamin Böhm, Tomáš Peitl, Olaf Beyersdorff

Should decisions in QCDCL follow prefix order?

Quantified conflict-driven clause learning (QCDCL) is one of the main solving approaches for quantified Boolean formulas (QBF). One of the differences between QCDCL and propositional CDCL is that QCDCL typically follows the prefix order of the QBF for making decisions.
We investigate an alternative model for QCDCL solving where decisions ... more >>>


TR22-039 | 14th March 2022
Uma Girish, Justin Holmgren, Kunal Mittal, Ran Raz, Wei Zhan

Parallel Repetition For All 3-Player Games Over Binary Alphabet

We prove that for every 3-player (3-prover) game, with binary questions and answers and value less than $1$, the value of the $n$-fold parallel repetition of the game decays polynomially fast to $0$. That is, for every such game, there exists a constant $c>0$, such that the value of the ... more >>>



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ISSN 1433-8092 | Imprint