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Author Book, Ronald V. ♦ Du, Ding-Zhu
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1987
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract If $\textit{C}$ is a class of sets and $\textit{A}$ is not in $\textit{C},$ then an infinite set $\textit{H}$ is a proper hard core for A with respect to C, if $\textit{H}$ ⊆ $\textit{A}$ and for every $\textit{C}$ ε $\textit{C}$ such that $\textit{C}$ ⊆ $\textit{A},$ $\textit{C}$ ⋒ $\textit{H}$ is finite. It is shown that if $\textit{C}$ is a countable class of sets of strings that is closed under finite union and finite variation, then every infinite set not in $\textit{C}$ has a proper hard core with respect to $\textit{C}.$ In addition, the density of such generalized complexity cores is studied.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1987-07-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 34
Issue Number 3
Page Count 13
Starting Page 718
Ending Page 730


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Source: ACM Digital Library