PYI: The Internal Quantitative Structure of Complexity Classes

Duration:
-

Abstract:

New extensions of Lebesgue measure theory are used to investigate the internal, quantitative structure of complexity classes. The relationships among intrinsically pseudorandom objects, pseudorandom number generators, probabilistic and interactive complexity classes, and completeness phenomena are studied. Another focus is the measure structure of exponential time complexity classes.

 

Funding Organization

The Internal Quantitative Structure of Complexity Classes

Award Amount

$266,000

Award Number

9157382

Principal Investigator

Jack Lutz