All reports by Author Susanna de Rezende:

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TR20-001
| 31st December 2019
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Or Meir, Jakob Nordström, Robert Robere, Susanna de Rezende#### Nullstellensatz Size-Degree Trade-offs from Reversible Pebbling

Revisions: 2

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TR19-186
| 31st December 2019
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Or Meir, Jakob Nordström, Toniann Pitassi, Robert Robere, Susanna de Rezende#### Lifting with Simple Gadgets and Applications to Circuit and Proof Complexity

Revisions: 2

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TR19-174
| 2nd December 2019
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Susanna de Rezende, Jakob Nordström, Kilian Risse, Dmitry Sokolov#### Exponential Resolution Lower Bounds for Weak Pigeonhole Principle and Perfect Matching Formulas over Sparse Graphs

Or Meir, Jakob Nordström, Robert Robere, Susanna de Rezende

We establish an exactly tight relation between reversible pebblings of graphs and Nullstellensatz refutations of pebbling formulas, showing that a graph $G$ can be reversibly pebbled in time $t$ and space $s$ if and only if there is a Nullstellensatz refutation of the pebbling formula over $G$ in size $t+1$ ... more >>>

Or Meir, Jakob Nordström, Toniann Pitassi, Robert Robere, Susanna de Rezende

We significantly strengthen and generalize the theorem lifting Nullstellensatz degree to monotone span program size by Pitassi and Robere (2018) so that it works for any gadget with high enough rank, in particular, for useful gadgets such as equality and greater-than. We apply our generalized theorem to solve two open ... more >>>

Susanna de Rezende, Jakob Nordström, Kilian Risse, Dmitry Sokolov

We show exponential lower bounds on resolution proof length for pigeonhole principle (PHP) formulas and perfect matching formulas over highly unbalanced, sparse expander graphs, thus answering the challenge to establish strong lower bounds in the regime between balanced constant-degree expanders as in [Ben-Sasson and Wigderson '01] and highly unbalanced, dense ... more >>>