In this paper we have introduced the concept of Leibniz-like functions and discussed its computational power when given via an oracle access. In particular, we have shown that certain families of Leibniz-like functions can be used to compute number-theoretic functions for which no polynomial-time algorithms are known.
Jun 22, 2020
It has been shown that they have powerful computational capability and potential capability in solving computationally hard problems. The paper describes the ...
Abstract. We study the power of randomized complexity classes that are given oracle access to a natural property of Razborov and Rudich (JCSS, ...
Jul 6, 2023 · We study the power of randomized complexity classes that are given oracle access to a natural property of Razborov and Rudich (JCSS, 1997)
We study the power of randomized complexity classes that are given oracle access to a natural property of Razborov and Rudich (JCSS, 1997) or its special ...
May 14, 2013 · But Leibniz resolved to make a “universal” calculator, that could for the first time do all four basic functions of arithmetic with a single ...
Missing: Oracles. | Show results with:Oracles.
Consider the function fC(r) = IO(C, r), where C is a circuit and r is a random string. 465. Observe that fC(r) is computable uniformly in time polynomial in |r| ...
The Power of Leibniz-Like Functions as Oracles. Chapter. Jun 2020. Jaeyoon Kim · Ilya Volkovich · Nelson Xuzhi Zhang. A Leibniz-like function \(\chi \) is an ...
[PDF] Sums of divisors, perfect numbers, and factoring | Semantic ...
www.semanticscholar.org › paper
The Power of Leibniz-Like Functions as Oracles · Mathematics, Computer Science. Computer Science Symposium in Russia · 2020.
The motivating force of Leibniz's life's work was his optimism, which grew out of his philosophical and theological convictions.
Missing: Functions Oracles.