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Understanding Proof Systems

Dive deeper into SNARKs, STARKs, and other proving systems.

Vitalik's ZK-SNARKs Explained External Link

In-depth but accessible explanation of zkSNARKs by Vitalik.

ZK STARKs Overview External Link

Explains the motivation and construction of STARKs.

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STARK Deep Dives

Comprehensive resources for understanding STARK proofs in detail.

Vitalik's STARK Series External Link

Detailed explanation of STARKs from basic principles to implementation details.

STARK Anatomy Series External Link

Comprehensive breakdown of STARK components and implementation.

Brainfuck STARK Tutorial External Link

Hands-on tutorial implementing a STARK prover for the Brainfuck language.

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PLONK Resources

Tutorials and explanations of the PLONK proving system.

How PLONK Works by sCrypt External Link

A two-part explanation of the PLONK proving system.

PLONK on Bitcoin External Link

Explanation of how PLONK can be implemented on Bitcoin.

PLONK by Hand External Link

A detailed walkthrough of PLONK calculations by hand from MetaState.

Understanding PLONK by Vitalik External Link

Vitalik Buterin's explanation of the PLONK proving system.

Understanding PLONK by David Wong External Link

A clear explanation of PLONK from cryptography expert David Wong.

A Python tutorial of the paper PLONK External Link

A Python implementation tutorial based on the original PLONK paper.

ZK Study Club - Plonk with Zac Williamson External Link

Zac Williamson explains the PLONK proving system in detail.

How PLONK works by David Wong External Link

Comprehensive 12-part video series explaining PLONK.

PLONK: Privacy in a World of Universal SNARKs External Link

Conference talk by Zac Williamson on PLONK applications.

PLONK Explained by Ariel Gabizon External Link

Technical overview of PLONK by Protocol Labs researcher.

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ZK DSL Guides

Intermediate tutorials on languages like Circom and Noir.

Noir Book External Link

Official Noir language documentation and guides.

Awesome Circom External Link

A collection of Circom examples and useful links.