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TR19-178
| 5th December 2019
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Dmitry Itsykson, Artur Riazanov, Danil Sagunov, Petr Smirnov#### Almost Tight Lower Bounds on Regular Resolution Refutations of Tseitin Formulas for All Constant-Degree Graphs

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TR19-177
| 6th December 2019
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Shafi Goldwasser, Ofer Grossman, Sidhanth Mohanty, David Woodruff#### Pseudo-deterministic Streaming

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TR19-176
| 4th December 2019
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Gal Arnon, Guy Rothblum#### On Prover-Efficient Public-Coin Emulation of Interactive Proofs

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Dmitry Itsykson, Artur Riazanov, Danil Sagunov, Petr Smirnov

We show that the size of any regular resolution refutation of Tseitin formula $T(G,c)$ based on a graph $G$ is at least $2^{\Omega(tw(G)/\log n)}$, where $n$ is the number of vertices in $G$ and $tw(G)$ is the treewidth of $G$. For constant degree graphs there is known upper bound $2^{O(tw(G))}$ ... more >>>

Shafi Goldwasser, Ofer Grossman, Sidhanth Mohanty, David Woodruff

A pseudo-deterministic algorithm is a (randomized) algorithm which, when run multiple times on the same input, with high probability outputs the same result on all executions. Classic streaming algorithms, such as those for finding heavy hitters, approximate counting, $\ell_2$ approximation, finding a nonzero entry in a vector (for turnstile algorithms) ... more >>>

Gal Arnon, Guy Rothblum

A central question in the study of interactive proofs is the relationship between private-coin proofs, where the verifier is allowed to hide its randomness from the prover, and public-coin proofs, where the verifier's random coins are sent to the prover.

In this work, we study transformations ...
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