PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephen Simpson.

Title:LR-reducibility and LK-reducibility
Seminar:Logic Seminar
Speaker:Stephen G. Simpson, Pennsylvania State University
Abstract Link:http://www.math.psu.edu/simpson/papers/aedsh.pdf
Abstract:
Let A and B be Turing oracles. We say that A is LR-reducible to B if every X which is random relative to B is random relative to A. We say that A is LK-reducible to B if K^B(tau) < K^A(tau) + O(1), where K^A denotes prefix-free Kolmogorov complexity relative to A. Recently Kjos-Hanssen, Miller and Solomon discovered that LR-reducibility and LK-reducibility coincide. Moreover, A is LR-reducible to B if and only if every set of positive measure which is effectively closed relative to A includes a set of positive measure which is effectively closed relative to B. We sketch the proof of these and related results.

Room Reservation Information

Room Number:MB315
Date:10 / 13 / 2009
Time:02:30pm - 03:45pm