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TCS
2002
13 years 10 months ago
Presentations of computably enumerable reals
We study the relationship between a computably enumerable real and its presentations: ways of approximating the real by enumerating a prefix-free set of binary strings.
Rodney G. Downey, Geoffrey LaForte
CORR
2008
Springer
70views Education» more  CORR 2008»
13 years 11 months ago
Every Computably Enumerable Random Real Is Provably Computably Enumerable Random
We prove that every computably enumerable (c.e.) random real is provable in Peano Arithmetic (PA) to be c.e. random. A major step in the proof is to show that the theorem stating ...
Cristian S. Calude, Nicholas J. Hay
JCSS
2007
75views more  JCSS 2007»
13 years 10 months ago
Undecidability of the structure of the Solovay degrees of c.e. reals
We show that the elementary theory of the structure of the Solovay degrees of computably enumerable reals is undecidable.
Rodney G. Downey, Denis R. Hirschfeldt, Geoffrey L...
APAL
2010
125views more  APAL 2010»
13 years 11 months ago
The computable Lipschitz degrees of computably enumerable sets are not dense
The computable Lipschitz reducibility was introduced by Downey, Hirschfeldt and LaForte under the name of strong weak truthtable reducibility [6]. This reducibility measures both t...
Adam R. Day
COMAD
2009
13 years 12 months ago
Large Maximal Cliques Enumeration in Large Sparse Graphs
Identifying communities in social networks is a problem of great interest. One popular type of community is where every member of the community knows all others, which can be view...
Natwar Modani, Kuntal Dey