A string of binary data is trivial if, like a string of all zeros, it contains negligible information beyond that implicit in its length. This notion of ...

Oct 23, 2013 · Abstract:A 1976 theorem of Chaitin can be used to show that arbitrarily dense sets of lengths n have a paucity of trivial strings (only a ...

A 1976 theorem of Chaitin can be used to show that arbitrarily dense sets of lengths n have a paucity of trivial strings (only a bounded number of strings of ...

Abstract. A 1976 theorem of Chaitin, strengthening a 1969 theorem of Meyer, says that infinitely many lengths n have a paucity of trivial strings.

The purpose of this note is to give a very simple proof of a frequent paucity theorem. Our theorem's frequency condition is as strong as that of Theorem 3.

A 1976 theorem of Chaitin, strengthening a 1969 theorem of Meyer, says that infinitely many lengths n have a paucity of trivial strings (only a bounded ...

A 1976 theorem of Chaitin can be used to show that arbitrarily dense sets of lengths n have a paucity of trivial strings (only a bounded number of strings of ...

TL;DR: In this paper, the probabilistic method is used to prove that arbitrarily dense sets of lengths n have a paucity of trivial strings (only a bounded ...

A 1976 theorem of Chaitin can be used to show that arbitrarily dense sets of lengths n have a paucity of trivial strings (only a bounded number of strings ...

Nov 22, 2013 · Abstract: A 1976 theorem of Chaitin, strengthening a 1969 theorem of Meyer,says that infinitely many lengths n have a paucity of trivial strings ...