Towards Universal Atomic Composability: Atomic composability & ZK-proofs

This paper is available on arxiv under CC 4.0 license. Authors: (1) Dipankar Sarkar, Cryptuon Research and me@dipankar.name Table of Links Abstract and Introduction Formal Model - Rollups with Decentralized Common Pool (DCP) Atomic composability & ZK-proofs Incorporating Zk-proofs Application of the Formal Model Conclusion and References 3 Atomic composability & ZK-proofs Zero-Knowledge Proofs (zk-proofs), particularly zk-SNARKs (Zero-Knowledge Succinct Non-Interactive Argument of Knowledge) and zk-STARKs (Zero-Knowledge Scalable Transparent Argument of Knowledge), are cryptographic methods that allow one party to prove to another party that a statement is true, without revealing any specific information beyond the validity of the statement itself [1, 2]. For atomic composability across rollups, zk-proofs can be exceptionally beneficial. Let’s explore how: 3.1 Transaction Validation zk-proofs can be utilized to validate that a transaction on one rollup adheres to specific conditions, without actually revealing the contents of the transaction. This is especially useful for maintaining privacy across rollups while still ensuring that conditions are met [6]. 3.2 Dependency Verification If one transaction depends on another from a different rollup, zk-proofs can be utilized to validate the successful execution and correctness of the dependent transaction, again, without revealing the actual transaction details [7]. 3.3 Concurrency and Aggregate Dependencies zk-proofs can be crafted to provide proofs of concurrent transaction executions or aggregate transaction conditions (like total transaction value across multiple rollups) being met, all without revealing specific transaction details [12]. 3.4 Compactness and Efficiency zk-proofs, especially zk-SNARKs, have the advantage of being succinct. That means, irrespective of the amount of data or the number of transactions they’re validating, the proof size remains relatively small and verification is swift. This feature can be immensely beneficial in a system with multiple rollups, where swift validations are essential [10]. This paper is available on arxiv under CC 4.0 license. Authors: (1) Dipankar Sarkar, Cryptuon Research and me@dipankar.name This paper is available on arxiv under CC 4.0 license. Authors: Authors: (1) Dipankar Sarkar, Cryptuon Research and me@dipankar.name Table of Links Abstract and Introduction Formal Model - Rollups with Decentralized Common Pool (DCP) Atomic composability & ZK-proofs Incorporating Zk-proofs Application of the Formal Model Conclusion and References Abstract and Introduction Abstract and Introduction Formal Model - Rollups with Decentralized Common Pool (DCP) Formal Model - Rollups with Decentralized Common Pool (DCP) Atomic composability & ZK-proofs Atomic composability & ZK-proofs Incorporating Zk-proofs Incorporating Zk-proofs Application of the Formal Model Application of the Formal Model Conclusion and References Conclusion and References 3 Atomic composability & ZK-proofs Zero-Knowledge Proofs (zk-proofs), particularly zk-SNARKs (Zero-Knowledge Succinct Non-Interactive Argument of Knowledge) and zk-STARKs (Zero-Knowledge Scalable Transparent Argument of Knowledge), are cryptographic methods that allow one party to prove to another party that a statement is true, without revealing any specific information beyond the validity of the statement itself [1, 2]. For atomic composability across rollups, zk-proofs can be exceptionally beneficial. Let’s explore how: 3.1 Transaction Validation 3.1 Transaction Validation zk-proofs can be utilized to validate that a transaction on one rollup adheres to specific conditions, without actually revealing the contents of the transaction. This is especially useful for maintaining privacy across rollups while still ensuring that conditions are met [6]. 3.2 Dependency Verification 3.2 Dependency Verification If one transaction depends on another from a different rollup, zk-proofs can be utilized to validate the successful execution and correctness of the dependent transaction, again, without revealing the actual transaction details [7]. 3.3 Concurrency and Aggregate Dependencies 3.3 Concurrency and Aggregate Dependencies zk-proofs can be crafted to provide proofs of concurrent transaction executions or aggregate transaction conditions (like total transaction value across multiple rollups) being met, all without revealing specific transaction details [12]. 3.4 Compactness and Efficiency 3.4 Compactness and Efficiency zk-proofs, especially zk-SNARKs, have the advantage of being succinct. That means, irrespective of the amount of data or the number of transactions they’re validating, the proof size remains relatively small and verification is swift. This feature can be immensely beneficial in a system with multiple rollups, where swift validations are essential [10].