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Electronic Colloquium on Computational Complexity

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TR22-147 | 10th November 2022
Samir Datta, Chetan Gupta

Evaluating Monotone Circuits on Surfaces

Revisions: 3

In this paper, we study the circuit value problem for monotone Boolean circuits (that is, circuits without negation gates) when the circuits are embedded on a surface of bounded genus, and all inputs to the circuits lie on at most constantly many faces. We show that this problem can be ... more >>>


TR22-146 | 9th November 2022
Klim Efremenko, Bernhard Haeupler, Gillat Kol, Nicolas Resch, Raghuvansh Saxena, Yael Tauman Kalai

Interactive Coding with Small Memory

In this work, we design an interactive coding scheme that converts any two party interactive protocol $\Pi$ into another interactive protocol $\Pi'$, such that even if errors are introduced during the execution of $\Pi'$, the parties are able to determine what the outcome of running $\Pi$ would be in an ... more >>>


TR22-145 | 4th November 2022
Alexander Golovnev, Siyao Guo, Spencer Peters, Noah Stephens-Davidowitz

Revisiting Time-Space Tradeoffs for Function Inversion

Revisions: 1

We study the black-box function inversion problem, which is the problem of finding $x \in [N]$ such that $f(x) = y$, given as input some challenge point $y$ in the image of a function $f : [N] \to [N]$, using $T$ oracle queries to $f$ and preprocessed advice $\sigma \in ... more >>>



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