[Colloquium] UC Theory Seminar - Roei Tell, Tuesday, January 3, 2023
Jose J Fragoso
jfragoso at uchicago.edu
Tue Jan 3 13:55:51 CST 2023
UNIVERSITY OF CHICAGO
COMPUTER SCIENCE DEPARTMENT
PRESENTS
Roei Tell, PhD
Institute for Advanced Study and Center for Discreet Mathematics and Theoretical Computer Science
[Roei Tell headshot]
Tuesday, January 3, 2023 at 3:30pm
Kent Chemical Laboratory, Room 102
TITLE: A free lunch theorem for de-randomization of proof systems, and consequences
ABSTRACT: In the first half of the talk, I'll set up some background, by describing two recent directions in the study of de-randomization: A non-black-box algorithmic framework, which replaces the classical PRG-based paradigm; and free lunch results, which eliminate randomness with essentially no runtime overhead.
In the second half we'll see one result along these directions: Under hardness assumptions, every doubly efficient proof system with constantly many rounds of interaction can be simulated by a deterministic NP-type verifier, with essentially no runtime overhead, such that no efficient adversary can mislead the deterministic verifier. Consequences include an NP-type verifier of this type for #SAT, running in time 2^{eps*n} for an arbitrarily small constant eps>0; and a complexity-theoretic analysis of the Fiat-Shamir heuristic in cryptography.
The talk is based on a joint work with Lijie Chen (UC Berkeley).
Bio: I’m a postdoc at IAS+DIMACS working in Theoretical Computer Science and Complexity Theory. Previously he was a postdoc at MIT and completed his PhD at the Weizmann Institute of Science.
HOST: Aaron Potechin
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