This is a reminder that the next TCS+ talk is taking place this week, Wednesday, April 8th at 1:00 PM Eastern Time (10:00 AM Pacific Time, 19:00 Central European Time, 17:00 UTC). The speakers' slides will be made available at https://sites.google.com/view/tcsplus/welcome/past-talks after the talk.
If you’d like to join the Zoom talk, please sign up using the form at https://sites.google.com/view/tcsplus/welcome/next-tcs-talk. The talk will also be recorded and posted shortly afterwards on our YouTube channel, here: http://www.youtube.com/user/TCSplusSeminars.
Hoping to see you all there,
The organizers
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Speaker: Rahul Ilango (MIT)
Title: Gödel in Cryptography: Zero-Knowledge Proofs With No Interaction, No Setup, and Perfect Soundness
Abstract: Gödel showed that there are true but unprovable statements. This was bad news for Hilbert, who hoped that every true statement was provable. In this talk, I’ll describe why Gödel’s result is, in fact, good news for cryptography.
Specifically, Gödel’s result allows for the following strange scenario: a cryptographic system S is insecure, but it is impossible to prove that S is insecure. As I will explain, in this scenario (defined carefully), S is secure for nearly all practical purposes.
Leveraging this idea, we effectively construct — under longstanding assumptions — a classically-impossible cryptographic dream object: “zero-knowledge proofs for NP with no interaction, no setup, and perfect soundness” (I won’t assume you know what this means!). As an application, our result lets one give an ordinary mathematical proof that a Sudoku puzzle is solvable without revealing how to solve it. Previously, it was not known how to do this.
Paper link: https://eccc.weizmann.ac.il/report/2025/095/