All reports by Author Anastasia Sofronova:

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TR21-028
| 27th February 2021
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Anastasia Sofronova, Dmitry Sokolov#### Branching Programs with Bounded Repetitions and $\mathrm{Flow}$ Formulas

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TR19-069
| 6th May 2019
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Nicola Galesi, Dmitry Itsykson, Artur Riazanov, Anastasia Sofronova#### Bounded-depth Frege complexity of Tseitin formulas for all graphs

Revisions: 1

Anastasia Sofronova, Dmitry Sokolov

Restricted branching programs capture various complexity measures like space in Turing machines or length of proofs in proof systems. In this paper, we focus on the application in the proof complexity that was discovered by Lovasz et al. '95 who showed the equivalence between regular Resolution and read-once branching programs ... more >>>

Nicola Galesi, Dmitry Itsykson, Artur Riazanov, Anastasia Sofronova

We prove that there is a constant $K$ such that \emph{Tseitin} formulas for an undirected graph $G$ requires proofs of

size $2^{\mathrm{tw}(G)^{\Omega(1/d)}}$ in depth-$d$ Frege systems for $d<\frac{K \log n}{\log \log n}$, where $\tw(G)$ is the treewidth of $G$. This extends H{\aa}stad recent lower bound for the grid graph ...
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