Gales suffice for constructive dimension

  • Authors:
  • John M. Hitchcock

  • Affiliations:
  • Department of Computer Science, Iowa State University, 226 Atanasoff Hall, Ames, IA

  • Venue:
  • Information Processing Letters
  • Year:
  • 2003

Quantified Score

Hi-index 0.89

Visualization

Abstract

Supergales, generalizations of supermartingales, have been used by Lutz (2002) to define the constructive dimensions of individual binary sequences. Here it is shown that gales, the corresponding generalizations of martingales, can be equivalently used to define constructive dimension.