Resource-bounded measure on probabilistic classes

We extend Lutz's resource-bounded measure to probabilistic classes, and obtain notions of resource-bounded measure on probabilistic complexity classes such as BPE and BPEXP. Unlike former attempts, our resource bounded measure notions satisfy all three basic measure properties, that is every singleton {L} has measure zero, the whole space has measure one, and "enumerable infinite unions" of measure zero sets have measure zero. Key words: Resource-bounded Measure, Probabilistic complexity classes.

• Type: Journal
• Year: 2008
• Where: IPL
• Authors: Philippe Moser
• Keywords: Basic Measure Properties, IPL 2008, Probabilistic Complexity Classes, Resource-bounded Measure