Dimension and the structure of complexity classes

JH Lutz, N Lutz, E Mayordomo - Theory of Computing Systems, 2023 - Springer
We prove three results on the dimension structure of complexity classes.(1) The Point-to-Set
Principle, which has recently been used to prove several new theorems in fractal geometry …

Polynomial-Time Axioms of Choice and Polynomial-Time Cardinality

JA Grochow - Theory of Computing Systems, 2023 - Springer
There is no single canonical polynomial-time version of the Axiom of Choice (AC); several
statements of AC that are equivalent in Zermelo-Fraenkel (ZF) set theory are already …

Beautiful structures: An appreciation of the contributions of Alan Selman

LA Hemaspaandra - ACM SIGACT News, 2014 - dl.acm.org
As I write these words in June 2014, it has been just over a month since the retirement
celebration for Alan Selman at the University at Buffalo's Center for Tomorrow. I can't think of …

[PDF][PDF] Thoughts on Alan Selman (1941–2021)

LA Hemaspaandr - Bulletin of EATCS, 2021 - smtp.eatcs.org
Alan's love of music was deep, and in emails to me he commented that he envied the opera
opportunities I'd have on sabbatical in Germany, and when my wife and I lucked into a …

[PDF][PDF] In Memoriam Lars Arge∗ 8.10. 1967—† 23.12. 2020

GS Brodal - Bulletin of EATCS, 2021 - bulletin.eatcs.org
Our dear colleague and friend Lars Arge passed away on December 23, 2020, at the age of
53, way too early. Lars was battling kidney cancer the last years of his life, something he was …

SIGACT News Complexity Theory Column 108

LA Hemaspaandra - ACM SIGACT News, 2021 - dl.acm.org
Warmest thanks to Rafael Pass and Muthu Venkitasubramaniam for this issue's guest
column," Average-Case Complexity Through the Lens of Interactive Puzzles." When I …