All reports by Author Robert Robere:

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TR16-188
| 21st November 2016
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Toniann Pitassi, Robert Robere#### Strongly Exponential Lower Bounds for Monotone Computation

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TR13-054
| 4th April 2013
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Yuval Filmus, Toniann Pitassi, Robert Robere, Stephen A. Cook#### Average Case Lower Bounds for Monotone Switching Networks

Revisions: 1

Toniann Pitassi, Robert Robere

For a universal constant $\alpha > 0$, we prove size lower bounds of $2^{\alpha N}$ for computing an explicit monotone function in NP in the following models of computation: monotone formulas, monotone switching networks, monotone span programs, and monotone comparator circuits, where $N$ is the number of variables of the ... more >>>

Yuval Filmus, Toniann Pitassi, Robert Robere, Stephen A. Cook

An approximate computation of a Boolean function by a circuit or switching network is a computation which computes the function correctly on the majority of the inputs (rather than on all inputs). Besides being interesting in their own right, lower bounds for approximate computation have proved useful in many subareas ... more >>>