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Electronic Colloquium on Computational Complexity

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TR20-160 | 2nd November 2020
Oded Goldreich, Avi Wigderson

Non-adaptive vs Adaptive Queries in the Dense Graph Testing Model

Revisions: 3

We study the relation between the query complexity of adaptive and non-adaptive testers in the dense graph model.
It has been known for a couple of decades that the query complexity of non-adaptive testers is at most quadratic in the query complexity of adaptive testers.
We show that ... more >>>


TR20-159 | 9th October 2020
Leroy Chew, Marijn Heule

Relating existing powerful proof systems for QBF

We advance the theory of QBF proof systems by showing the first simulation of the universal checking format QRAT by a theory-friendly system. We show that the sequent system G fully p-simulates QRAT, including the Extended Universal Reduction (EUR) rule which was recently used to show QRAT does not ... more >>>


TR20-158 | 26th October 2020
Eric Allender, Azucena Garvia Bosshard, Amulya Musipatla

A Note on Hardness under Projections for Graph Isomorphism and Time-Bounded Kolmogorov Complexity

This paper focuses on a variant of the circuit minimization problem (MCSP), denoted MKTP, which studies resource-bounded Kolmogorov complexity in place of circuit size. MCSP is not known to be hard for any complexity class under any kind of m-reducibility, but recently MKTP was shown to be hard for DET ... more >>>



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