LAAW04
10 April 2006 to 13 April 2006
Proof complexity is an area of mathematics (and mathematical logic and computational complexity theory in particular) centered around the problem whether the complexity class NP is closed under complementation. With a suitable general definition of a propositional proof system (Cook and Reckhow 1979) this becomes a lengths-of-proofs question: Is there a propositional proof system in which every tautology admits a proof whose length is bounded above by a polynomial in the length of the tautology? The ultimate goal of proof complexity is to show that there is no such proof system; that is, to demonstrate superpolynomial lower bounds for all proof systems.
Strong lower bounds are known for some particular, classical proof systems. (In fact, also surprising upper bounds are known!) The methods used for proving these lower bounds borrow from all parts of logic, from finite combinatorics, from parts of complexity theory including circuit complexity, communication complexity, cryptography, derandomization, from classical algebra like field theory or representation theory, or from abstract concepts of geometry like Euler characteristic and Grothendieck ring.
The purpose of the conference is to bring together researchers in various parts of mathematics and computer science interested in proof complexity. Our ambition is to expose, through invited and contributed lectures, current developments in proof complexity as well as new ideas and directions of research pursued most recently.
Monday 10th April 2006 | |||
---|---|---|---|
08:30 to 10:00 | No Room Required | ||
10:00 to 11:00 |
Pavel Pudlak |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:00 |
The complexity of proving the discrete Jordan Curve theorem and related principles |
Room 1 | |
12:00 to 12:30 | Room 1 | ||
12:30 to 13:30 | No Room Required | ||
14:00 to 15:00 |
Neil Thapen Charles University, Prague |
Room 1 | |
15:00 to 15:30 | No Room Required | ||
15:30 to 16:00 |
Emil Jerabek University of Toronto |
Room 1 | |
16:00 to 16:30 |
Chris Pollett |
Room 1 | |
17:00 to 18:00 | No Room Required | ||
18:45 to 19:30 | No Room Required |
Tuesday 11th April 2006 | |||
---|---|---|---|
09:30 to 10:30 |
Stephen Cook University of Toronto |
Room 1 | |
10:30 to 11:00 |
Moshe Vardi Rice University |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:00 |
Michael Soltys McMaster University |
Room 1 | |
12:00 to 12:30 |
Steven Perron University of Toronto |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
14:00 to 15:00 |
Russell Impagliazzo University of California |
Room 1 | |
15:00 to 15:30 | No Room Required | ||
15:30 to 16:00 |
Soren Riis Queen Mary University of London |
Room 1 | |
16:00 to 16:30 |
Nicola Galesi |
Room 1 | |
18:45 to 19:30 | No Room Required |
Wednesday 12th April 2006 | |||
---|---|---|---|
09:30 to 10:30 |
Toniann Pitassi University of Toronto |
Room 1 | |
10:30 to 11:00 |
Jakob Nordstrom |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:30 |
Nathan Segerlind University of Toronto |
Room 1 | |
12:30 to 13:30 | No Room Required | ||
19:30 to 18:00 | No Room Required |
Thursday 13th April 2006 | |||
---|---|---|---|
09:30 to 10:30 |
Iddo Tzameret Tel Aviv University |
Room 1 | |
10:00 to 10:30 | Room 1 | ||
11:00 to 11:30 | No Room Required | ||
11:30 to 12:30 | Room 1 | ||
12:30 to 13:30 | No Room Required | ||
14:00 to 14:30 |
Pavel Naumov |
Room 1 | |
14:30 to 15:30 |
Mikhail Alekhnovich University of California |
Room 1 | |
15:30 to 16:00 | No Room Required | ||
18:45 to 19:30 | No Room Required |
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