Topics covered in this episode:

1:42 Introduction to Zero-Knowledge Proofs.

7:07 What MPC in the head achieves, at a high level.

14:35 The efficiency of MPC in the head.

15:56 What is “MPC” anyways?

18:37 How MPC in the head works, at a high level.

20:38 An overview of the IKOS paper: the one that started it all.

https://web.cs.ucla.edu/~rafail/PUBLIC/77.pdf (2007)

“Zero-Knowledge from Secure Multiparty Computation” - Yuval Ishai, Eyal Kushilevitz, Rafail Ostrovsky, and Amit Sahai

31:05 The ZKBoo paper: making MPC in the head practical.

https://eprint.iacr.org/2016/163

“ZKBoo: Faster Zero-Knowledge for Boolean Circuits“ - Irene Giacomelli, Jesper Madsen, and Claudio Orlandi

My implementation of ZKBoo: https://github.com/cronokirby/boo-hoo

41:22 The KKW paper: adding pre-processing to simulated MPC.

https://eprint.iacr.org/2018/475

“Improved Non-Interactive Zero Knowledge with Applications to Post-Quantum Signatures” - Jonathan Katz, Vladimir Kolesnikov, and Xiao Wang

48:32 The core idea of the Limbo paper: verifying execution traces.

https://eprint.iacr.org/2021/215

“Limbo: Efficient Zero-knowledge MPCitH-based Arguments“ - Cyprien Delpech de Saint Guilhem, Emmanuela Orsini, and Titouan Tanguy

51:07 What distinguishes Ligero from other MPC in the head systems: Sqrt(N) complexity.

https://acmccs.github.io/papers/p2087-amesA.pdf

“Ligero: Lightweight Sublinear Arguments without a trusted setup” - Scott Ames, Carmit Hazy, Yuval Ishai, an dMuthuramakrishnan Venkitasubramaniam

54:10 The “Rambo” paper: how to add RAM to ZK proof programs.

https://eprint.iacr.org/2022/313.pdf

“Efficient Proof of RAM Programs from Any Public-Coin
Zero-Knowledge System” - Cyprien Delpech de Saint Guilhem, Emmanuela Orsini, Titouan Tanguy, and Michiel Verbauwhede

1:03:10 My project, Rem-Boo

https://github.com/cronokirby/rem-boo

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