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REPORTS > AUTHORS > TULASI MOHAN MOLLI:
All reports by Author Tulasi mohan Molli:

TR22-182 | 16th December 2022
Prahladh Harsha, Tulasi mohan Molli, A. Shankar

Criticality of AC0-Formulae

Revisions: 1

Rossman [In Proc. 34th Comput. Complexity Conf., 2019] introduced the notion of criticality. The criticality of a Boolean function $f : \{0, 1\}^n\to \{0, 1\}$ is the minimum $\lambda \geq 1$ such that for all positive integers $t$,
\[Pr_{\rho\sim R_p} [\text{DT}_{\text{depth}}(f|_\rho) \geq t] \leq (p\lambda)^t.\]
.
Håstad’s celebrated switching lemma ... more >>>




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