Computational Complexity

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

Wednesday, March 30, 2005

Sublogarithmic Space

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A reader asks I wanted to ask you something about the Savitch and Immerman-Szelepcsényi theorems that I saw you have in your weblog. In...
3 comments:
Tuesday, March 29, 2005

A Non-Standard Post

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Mike O'Donnell tells a story of talk he saw once where the speaker considered the following recursive program: f(n) := output 0 if n =...
3 comments:
Monday, March 28, 2005

Getting an Edge

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Using performance-enhancing drugs has become a major issue in national and international sports, most recently in Major League Baseball in A...
12 comments:
Saturday, March 26, 2005

My Brother

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I have a brother who worked in the music industry and got us first row tickets to Kool and the Gang. I have a brother who was an entertainme...
Thursday, March 24, 2005

P=NP and the Arts

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A few years ago someone asked Steven Rudich, a complexity theorist at Carnegie-Mellon, why he thought P is different than NP. He replied ...
14 comments:
Wednesday, March 23, 2005

Complexity LaTeX Package

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From Chris Bourke : I've created a LaTeX package for typesetting complexity commands ($\P$, $\NP$, etc). Its available on CTAN . Not on...
Tuesday, March 22, 2005

Tape Reduction

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Given a k-tape Turing machine can we reduce the number of tapes without too large an increase in time and space (memory)? Not just an esoter...
4 comments:
Monday, March 21, 2005

Paul Fortnow (1937-1980)

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My father passed away 25 years ago today. I thought I would share some of the lessons I learned from him. Once you win an argument, stop ar...
5 comments:
Friday, March 18, 2005

The End of the Travel Season

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In 2005 I have already traveled on five trips to four different countries on three different continents. My travel comes in bunches. I didn...
2 comments:
Wednesday, March 16, 2005

Bicycling in Holland

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When I visit Amsterdam I rent a bike for much the same reason I rent a car when I travel to New Jersey. CWI is in the east part of the city ...
3 comments:
Monday, March 14, 2005

What Makes a Good Collaborator?

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This week I visit CWI in Amsterdam where I spent my sabbatical year eight years ago and continue working relationships with many people her...
5 comments:
Friday, March 11, 2005

The Reality of Virtual Pets

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The Tamagotchi craze has hit my daughters' school. The Tamagotchi is a small toy with a few buttons and a screen where you can play wit...
3 comments:
Wednesday, March 09, 2005

NP-complete Problems and Physical Reality

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Scott Aaronson has a fun paper in the complexity column of the new SIGACT News where he addresses the question: Can NP-complete problems be...
Tuesday, March 08, 2005

Favorite Theorems: Efficient Computation

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February Edition How do we formalize the notion of efficient computation? Two important papers from the 60's suggest polynomial time a...
10 comments:
Monday, March 07, 2005

The Researcher's Dilemma

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I finally read Clayton's Christensen's The Innovator's Dilemma . A few years ago an NEC executive gave a talk using the ideas in...
3 comments:
Friday, March 04, 2005

Finding Duplicates

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Here is an interesting problem given by Muthukrishnan during his talk in the New Horizons workshop. Start with an array A of n+1 entries ea...
11 comments:
Wednesday, March 02, 2005

Theory in Japan

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Japan has produced some excellent theorists, like Seinosuke Toda who won the 1998 Gödel prize for his paper reducing the polynomial-time h...
2 comments:
Sunday, February 27, 2005

Are we the university?

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Two fellow (and slightly better known) Chicago professors Gary Becker and Richard Posner run a joint weblog on various social issues. This ...
10 comments:
Friday, February 25, 2005

New Horizons in Japan

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I'm off to Japan for a Workshop on New Horizons in Computing that kicks off a new theory project sponsored by the Japanese Ministry of...
Wednesday, February 23, 2005

Ramanujan's Lost Notebook

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Below the paid ads, Gmail gives me related links on the side of my email. In a discussion on a bad P ≠ NP proof (don't ask) Gmail pointe...
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