Complexity of Tarski Fixed Points

September 10, 2025, 11:00 AM - 12:00 PM

Location:

Conference Room 301

Rutgers University

CoRE Building

96 Frelinghuysen Road

Piscataway, NJ 08854

Yuhao Li, Columbia University

Tarski's fixed point theorem has extensive applications across many fields, including verification, semantics, game theory, and economics. Recently, the complexity of finding a Tarski fixed point has attracted significant attention.

In this talk, I will introduce the problem of computing a Tarski fixed point over a grid $[N]^d$, highlight our recent progress toward a better understanding of it, and discuss the surprising journey and the mysteries surrounding its complexity.