All reports by Author Sasank Mouli:

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TR22-038
| 13th March 2022
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Russell Impagliazzo, Sasank Mouli, Toniann Pitassi#### Lower bounds for Polynomial Calculus with extension variables over finite fields

Revisions: 1

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TR19-024
| 20th February 2019
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Russell Impagliazzo, Sasank Mouli, Toniann Pitassi#### The Surprising Power of Constant Depth Algebraic Proofs

Revisions: 2

Russell Impagliazzo, Sasank Mouli, Toniann Pitassi

For every prime p > 0, every n > 0 and ? = O(logn), we show the existence

of an unsatisfiable system of polynomial equations over O(n log n) variables of degree O(log n) such that any Polynomial Calculus refutation over F_p with M extension variables, each depending on at ...
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Russell Impagliazzo, Sasank Mouli, Toniann Pitassi

A major open problem in proof complexity is to prove super-polynomial lower bounds for AC^0[p]-Frege proofs. This system is the analog of AC^0[p], the class of bounded depth circuits with prime modular counting gates. Despite strong lower bounds for this class dating back thirty years (Razborov, '86 and Smolensky, '87), ... more >>>