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The Alon-Edmonds-Luby distance amplification procedure (FOCS 1995) is an algorithm that transforms a code with vanishing distance to a code with constant distance. AEL was invoked by Kopparty, Meir, Ron-Zewi, and Saraf (J. ACM 2017) for obtaining their state-of-the-art LDC, LCC and LTC. Cohen and Yankovitz (CCC 2021) devised a ... more >>>
We suggest a general framework to study dependency schemes for dependency quantified Boolean formulas (DQBF). As our main contribution, we exhibit a new infinite collection of implication-free DQBF dependency schemes that generalise the reflexive resolution path dependency scheme. We establish soundness of all these schemes, implying that they can be ... more >>>
For a function $t : 2^\star \to 1^\star$, let $C_t$ be the set of problems decidable on input $x$ in time at most $t(x)$ almost everywhere. The Union Theorem of Meyer and McCreight asserts that any union $\bigcup_{i < \omega} C_{t_i}$ for a uniformly recursive sequence of bounds $t_i$ is ... more >>>
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