Computational Complexity

Computational Complexity and other fun stuff in math and computer science from Lance Fortnow and Bill Gasarch

Tuesday, March 28, 2017

Parity Games in Quasipolynomial Time

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In one of the hallway discussions of last week's Dagstuhl I learned about an upcoming STOC paper Deciding Parity Games in Quasipolynomia...
3 comments:
Thursday, March 23, 2017

The Dagstuhl Family

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This week I'm at the Dagstuhl workshop on Computational Complexity of Discrete Problems . As you long time readers know Dagstuhl is a ...
2 comments:
Sunday, March 19, 2017

If you want to help your bad students DO NOT give an easy exam

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1) When I was a grad student TAing Formal Lang Theory we had a final ready to give out but noticed that one problem was too hard. So we cha...
22 comments:
Thursday, March 16, 2017

NP in ZPP implies PH in ZPP

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If NP is in ZPP is the entire polynomial-time hierarchy in ZPP? I saw this result used in an old TCS Stackexchange post  but I couldn't...
17 comments:
Monday, March 13, 2017

Other fields of math don't prove barrier results- why do we?

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Before FLT was solved did some people prove theorems like: FLT cannot be proven using techniques BLAH. This is important since all current...
14 comments:
Thursday, March 09, 2017

The Beauty of Computation

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Lisa Randall wrote a New York Times book review of Carlo Rovelli's  Reality Is Not What It Seems  with some interesting responses . I ...
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Monday, March 06, 2017

why are regular expressions defined the way they are

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BILL: The best way to prove closure properties of regular languages is to first prove  the equiv of DFA's, NDFA's and Reg Expressio...
11 comments:
Thursday, March 02, 2017

International Science

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I did some counting and the 35 academic faculty members in the Georgia Tech School of Computer Science come from 14 different countries. My ...
9 comments:
Sunday, February 26, 2017

Should we learn from the Masters or the Pupils (Sequel)

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A while back I had a blog entry Should we learn from the Masters of the Pupils?  The Masters may have more insights but he Pupils may have ...
7 comments:
Thursday, February 23, 2017

Ken Arrow and Oscars Voting

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Kenneth Arrow, the Nobel Prize winning economist known for his work on social choice and general equilibrium, passed away Tuesday at the ag...
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Sunday, February 19, 2017

The benefits of Recreational Mathematics

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Why study Recreational Mathematics? Why do recreational Mathematics? 1)  The line between recreational and serious mathematics is thin. ...
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Thursday, February 16, 2017

Liberatus Wins at Poker

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Tuomas Sandholm (center) and Ph.D. student Noam Brown (via CMU ) Congratulations to Liberatus the new poker champ . Liberatus, an AI pro...
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Monday, February 13, 2017

Raymond Smullyan: Logician, Recreational math writer, Philosopher, passed away

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Raymond Smullyan was born on May 25 1919 and passed away recently at the age of 97.  He was a logician (PhD from Princeton under Alonzo Chur...
12 comments:
Thursday, February 09, 2017

The Dichotomy Conjecture

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Note (8/19/17): The authors have retracted their claim  following the discovery of a counterexample by Ross Willard. However, there has been...
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Sunday, February 05, 2017

The Hardness of Reals Hierarchy

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In my last post ( here ) I defined the following hierarchy (which I am sure is not original- if someone has a source please leave a comment ...
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Thursday, February 02, 2017

We Are All Iranians

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A solidarity rally held at Georgia Tech today There are ten Iranian members of my department, the School of Computer Science at Georgia...
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Sunday, January 29, 2017

What was the first result in complexity theory?

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Let Z_d[x] be the set of polynomials of degree d over the integers. Let ALG_d be the set of roots of polys in Z_d. One can easily show t...
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Thursday, January 26, 2017

60 years of Eric and Mike

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As I checked in at the Holiday Inn in New Brunswick Wednesday night, they asked me if I had stayed there before. I said it has been a whi...
1 comment:
Sunday, January 22, 2017

My once-every-four-years Presidential Quiz/how should quizes work in the e-era?

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Every four years I post a PRESIDENTIAL QUIZ which I must update based on new information since we have a new prez and veep. The questions a...
Thursday, January 19, 2017

Infinite Series and Markov Chains

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There's a wonderful new series of math videos PBS Infinite Series hosted by Cornell Math Phd student Kelsey Houston-Edwards. Check out ...
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