Results 1 to 10 of about 4,903,854 (193)

Asymptotic Density for Equivalence

open access: yesElectronic Notes in Theoretical Computer Science, 2005
In this paper we study the asymptotic behavior of the fraction of true formulas against all formulas over k propositional variables with equivalence as the only connective in the language. We consider two ways of measuring the asymptotic behavior. In the
Grzegorz Matecki
exaly   +3 more sources

Asymptotic density, immunity and randomness [PDF]

open access: yesComputability, 2014
In 2012, inspired by developments in group theory and complexity, Jockusch and Schupp introduced generic computability, capturing the idea that an algorithm might work correctly except for a vanishing fraction of cases.
Eric P. Astor
semanticscholar   +4 more sources

Ultrafilter extensions of asymptotic density [PDF]

open access: yesCommentationes Mathematicae Universitatis Carolinae, 2019
We characterize for which ultrafilters on ω is the ultrafilter extension of the asymptotic density on natural numbers σ-additive on the quotient boolean algebra P (ω) /dU or satisfies similar additive condition on P (ω) /fin.
Grebík Jan
semanticscholar   +4 more sources

Asymptotic Density of Zimin Words [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2016
Word $W$ is an instance of word $V$ provided there is a homomorphism $\phi$ mapping letters to nonempty words so that $\phi(V) = W$. For example, taking $\phi$ such that $\phi(c)=fr$, $\phi(o)=e$ and $\phi(l)=zer$, we see that "freezer" is an instance of
Joshua Cooper, Danny Rorabaugh
doaj   +5 more sources

Asymptotic density of states in 2d CFTs with non-invertible symmetries [PDF]

open access: yesJournal of High Energy Physics, 2023
It is known that the asymptotic density of states of a 2d CFT in an irreducible representation ρ of a finite symmetry group G is proportional to (dim ρ)2.
Ying-Hsuan Lin   +3 more
doaj   +2 more sources

Asymptotic density and computably Enumerable Sets [PDF]

open access: yesJournal of Mathematical Logic, 2013
We study connections between classical asymptotic density and c.e. sets. We prove that a c.e. Turing degree d is not low if and only if d contains a c.e.
R. Downey, C. Jockusch, P. Schupp
semanticscholar   +4 more sources

Asymptotic density and the Ershov hierarchy [PDF]

open access: yesMathematical Logic Quarterly, 2013
We classify the asymptotic densities of the Δ20 sets according to their level in the Ershov hierarchy. In particular, it is shown that for n≥2 , a real r∈[0,1] is the density of an n‐c.e. set if and only if it is a difference of left‐ Π20 reals. Further,
R. Downey   +3 more
semanticscholar   +5 more sources

Asymptotic Structure for the Clique Density Theorem [PDF]

open access: yesDiscrete Analysis, 2020
Asymptotic structure for the clique density theorem, Discrete Analysis 2020:19, 26 pp. Turán's theorem, which is regarded as the "first" result in extremal graph theory, is the statement that the $K_r$-free graph on $n$ vertices with the largest number ...
Jaehoon Kim   +3 more
doaj   +3 more sources

Additive Complements for a Given Asymptotic Density [PDF]

open access: yesMediterranean Journal of Mathematics, 2018
We investigate the existence of subsets A and B of N:={0,1,2,⋯}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
A. Faisant   +3 more
semanticscholar   +5 more sources

Asymptotic density and the coarse computability bound [PDF]

open access: yesComputability, 2015
For r ∈ [ 0 , 1 ] we say that a set A ⊆ ω is coarsely computable at density r if there is a computable set C such that { n : C ( n ) = A ( n ) } has lower density at least r. Let γ ( A ) = sup { r : A is coarsely computable at density r } .
D. Hirschfeldt   +3 more
semanticscholar   +6 more sources

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