**
**

**
Math 268 - Logic, Computation and Randomness
**

**
Dates: Fall 2011 thru Spring 2012
**

Planned lecturers: Sam Buss, Mia Minnes, and others.

**Meeting times for Winter 2012: Tuesdays, 2:00-3:30, APM 2402.**

Please email at Sam at sbuss@math.ucsd.edu to get on or off the
email list for seminar announcements.

The scribe notes for lectures by Buss are mostly
handwritten versions of the lecture notes
and student notes. The notes by Minnes are mostly
typeset, but still in very preliminary form.

The students' handwritten notes were written in real time
during the lecture.
As such, neither the instructors nor the students
take any responsibility for the notes'
correctness, or neatness, or anything.
Instead they serve as an immediate record of what was covered
or was planned to be covered.

Various topics are planned.
Past topics, in reverse chronological order:

###
KL versus ML, again

Lectures by Mia Minnes

Based on Kastermans-Lempp,
*Comparing notions of randomness*. T.C.S. 411, 3 (2010) 602-618.

Available from the journal
or
from the authors.

April 24 - ???, 2012.
Lecture notes by Mia.
###
Hardness Amplification

Lectures by Sam Buss

Based on Chapter 19 of Arora-Barak,
*Computational Complexity: A Modern Approach*.

February 6-13, March 5-12, April 17., 2012.
Cumulative lecture notes by Sam.
###
Nisan-Wigderson Theorem

Lectures by Sam Buss.

Based in part on the paper "Hardness vs. Randomness" by
N. Nisan and A. Wigderson. Available on line
at http://www.math.ias.edu/~avi/PUBLICATIONS/MYPAPERS/NOAM/HARDNESS/final.pdf.

Following the treatment in Chapter 20 of the textbook by Arora-Barak.

November 21 - November 30, 2011.
Cumulative lecture notes by Sam.

November 21, 2011.
Scribe notes by James Aisenberg.

November 23, 2011.
Scribe notes by Andy Wilson.

November 28, 2011.
Scribe notes by Olivia Simpson.

November 30, 2011.
Scribe notes by Bob Chen.
###
Kolmogorov–Loveland versus Martin-Löf

Lectures by Mia Minnes.

Based in part on the paper "Kolmogorov-Loveland Randomness and Stochasticity" by
W. Merkle, J. Miller, A. Nies, J. Reimann, and F. Stephan. Available on line
at http://www.math.wisc.edu/~jmiller/Papers/kl.pdf.

October 30 - November 16, 2012
Cumulative lecture notes by Mia.

October 30, 2011.
Scribe notes by Olivia Simpson.
###
Toda's Theorem

Lectures by Sam Buss

Based on Chapter 17 of Arora-Barak,
*Computational Complexity: A Modern Approach*.

October 10 - October 26, 2011.
Cumulative lecture notes by Sam.

October 10, 2011.
Scribe notes by Olivia Simpson.

October 12, 2011.
Scribe notes by Bob Chen.

October 17, 2011.
Scribe notes by James Aisenberg.

October 19, 2011.
Scribe notes by Andy Wilson.

October 24, 2011.
Scribe notes by Bob Chen.

October 26, 2011.
Scribe notes by James Aisenberg.

**Back to Sam Buss's web page.**