Computational Complexity

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

Wednesday, October 29, 2025

AI and the Power of Nonuniform Circuits

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The advances in artificial intelligence have changed the way we think about computing. For today's post, how nonuniformity plays a much ...
20 comments:
Sunday, October 26, 2025

Bill's Bad Advice

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 I sometimes give the following advice for research which I label Bill's Bad Advice . We will later see who it might be good advice for....
5 comments:
Thursday, October 23, 2025

AI and Intro Theory

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This fall, for the first time at Illinois Tech, I'm teaching Introduction to Theory of Computation. While I've taught a variation of...
22 comments:
Monday, October 20, 2025

Sept 16, 2025 was Pythagorean Day

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      Several people emailed me that September 16, 2025 ---written as  9-16-25  in the US---represents the integer side lengths of a right t...
8 comments:
Wednesday, October 15, 2025

Fall Jobs Post 2025

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Each fall I try to predict the theory computer science faculty job market to come and give suggestions to those going after them. Get set fo...
6 comments:
Sunday, October 12, 2025

The Most Common Name in the World is Not Charles Lin. But It Seems That Way To Me.

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(ADDED LATER- a Sad Note. The older Charles Lin passed away in December of 2025.) In 2001 I supervised Charles Lin's Master's Thesis...
4 comments:
Wednesday, October 08, 2025

Big Bots Don't Cry

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A few comments to last week's post Computers Don't Want  suggested that human brains are just advanced computers, yet still possess ...
40 comments:
Sunday, October 05, 2025

If you use AI in your work do you brag about it or hide it?

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You used AI in your work. Do you hide it or brag about it?  1) In 2002 there was a movie  Simone  about an actress who is really an AI.  The...
2 comments:
Wednesday, October 01, 2025

Computers Don't Want

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I read through the new book If Anyone Builds It, Everyone Dies  by Eliezer Yudkowsky and Nate Soares. "It" refers to Artificial Su...
21 comments:
Sunday, September 28, 2025

Clyde Kruskal talks about his Father Martin on Martin's 100th birthday

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Martin Kruskal was born Sept 28, 1925 and passed away on Dec 26, 2006, at the age of 81 (we did two posts for his memorial,  here   and here...
2 comments:
Thursday, September 25, 2025

Self-Driving Cars

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A few weeks ago I took an Uber to a regional airport and was picked up by a Tesla. The driver used FSD, so-called Full Self-Driving, never t...
11 comments:
Sunday, September 21, 2025

We can find more papers on the web than we used to. Are we reading them?

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  STUDENT: What did you do before the web to find papers? BILL: We went to the library and copied papers to read later. STUDENT: Did you rea...
5 comments:
Wednesday, September 17, 2025

What is "PhD-Level Intelligence"?

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When announcing Open-AI's latest release last month, Sam Altman said "GPT-5 is the first time that it really feels like talking to ...
19 comments:
Monday, September 15, 2025

``I'm on vacation so I won't be checking email'' will sound funny soon. Maybe it already does.

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 "I'll be on vacation so I won't be checking email.'' "I can't be at the meeting since I will be out of town...
12 comments:
Thursday, September 11, 2025

Is the Prob Method `Just Counting'- I say no and HELL NO

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(After I wrote this post Lance tweeted a pointer to a great talk by Ronald de Wolf with more examples, and also examples of quantum proofs, ...
5 comments:
Monday, September 08, 2025

A Restless Soul

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When I first became a professor I had it all planned out, I would do research, teach and supervise students, get tenure and do more research...
10 comments:
Tuesday, September 02, 2025

Guest Post on Why Coding Style is Important

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Coding Style Is Important Does coding style matter? We teach students how to write code and about algorithms. But, do we discuss coding styl...
19 comments:
Wednesday, August 27, 2025

The Logical Argument

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This will be one of a series of posts that I've always wanted to write but I needed to wait until I was no longer an academic administra...
10 comments:
Saturday, August 23, 2025

Was the George Foreman Grill The Best Invention of the last 50 Years?

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(This post was inspired by  George Foreman , who passed away March 21, 2025, at the age of 76.) About 10 years ago I asked my class What is ...
11 comments:
Wednesday, August 20, 2025

The Phone

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I've heard this story from a few places. A father watches Back to the Future II with his kid. The 1989 movie view of 2015 looks entirel...
10 comments:
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