AI Chat AI Image Generator AI Video Text to Speech

Gacs-Kucera Theorem

07/06/2022

∙

by Leonid A. Levin, et al.

∙

∙

Gacs-Kucera Theorem, tightened by Barmpalias and Lewis-Pye, w.t.t.-reduces each infinite sequence to a Kolmogorov–Martin-Lof random one and is broadly used in various Math and CS areas. Its early proofs are somewhat cumbersome, but using some general concepts yields significant simplification illustrated here.

research

∙ 10/10/2022

A Reunion of Godel, Tarski, Carnap, and Rosser

We unify Godel's First Incompleteness Theorem (1931), Tarski's Undefinab...

0 Saeed Salehi, et al. ∙

research

∙ 09/03/2021

Four proofs of the directed Brooks' Theorem

We give four new proofs of the directed version of Brook's Theorem and a...

0 Pierre Aboulker, et al. ∙

research

∙ 09/19/2022

A Generalized Argmax Theorem with Applications

The argmax theorem is a useful result for deriving the limiting distribu...

0 Gregory Cox, et al. ∙

research

∙ 12/21/2020

Copula Measures and Sklar's Theorem in Arbitrary Dimensions

Although copulas are used and defined for various infinite-dimensional o...

0 Fred Espen Benth, et al. ∙

research

∙ 06/09/2018

Functional Pearl: Theorem Proving for All (Equational Reasoning in Liquid Haskell)

Equational reasoning is one of the key features of pure functional langu...

0 Niki Vazou, et al. ∙

research

∙ 10/31/2021

Gács-Kučera's Theorem Revisited by Levin

Leonid Levin (arxiv.org/abs/cs/0503039v14, p.7) published a new (and ver...

0 Alexander Shen, et al. ∙

research

∙ 10/08/2022

Some Tribonacci Conjectures

In a recent talk of Robbert Fokkink, some conjectures related to the inf...

0 Jeffrey Shallit, et al. ∙