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Electronic Colloquium on Computational Complexity

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TR21-133 | 12th September 2021
Oded Goldreich, Dana Ron

Testing Distributions of Huge Objects

Revisions: 3

We initiate a study of a new model of property testing that is a hybrid of testing properties of distributions and testing properties of strings.
Specifically, the new model refers to testing properties of distributions, but these are distributions over huge objects (i.e., very long strings).
Accordingly, the ... more >>>


TR21-132 | 11th September 2021
Eric Binnendyk

Pseudo-random functions and uniform learnability

Revisions: 1

Boolean circuits are a model of computation. A class of Boolean circuits is called a polynomial class if the number of nodes is bounded by a polynomial function of the number of input variables. A class $C_n[s(n)]$ of Boolean functions is called learnable if there are algorithms that can approximate ... more >>>


TR21-131 | 10th September 2021
Olaf Beyersdorff, Benjamin Böhm

QCDCL with Cube Learning or Pure Literal Elimination - What is best?

Revisions: 1

Quantified conflict-driven clause learning (QCDCL) is one of the main approaches for solving quantified Boolean formulas (QBF). We formalise and investigate several versions of QCDCL that include cube learning and/or pure-literal elimination, and formally compare the resulting solving models via proof complexity techniques. Our results show that almost all of ... more >>>



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