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Eden: An Provably Secure, Ultra-Fast, and Fully Decentralized Blockchain Interoperability Protocol

Ke Liang

TL;DR

Eden tackles the challenge of secure, scalable cross-chain interoperability by introducing a decentralized envoy network powered by a zero-knowledge MapReduce framework. The main idea is to replace traditional consensus with non-interactive, stake-weighted voting using zk-VRF randomness, allowing envoys to verify and vote on messages in parallel and to transmit message slices encoded with Raptor Codes. The paper provides a formal parameterization strategy, deriving bounds on the threshold $\theta$ and the number of required votes $\tau$ to ensure high-probability safety under a PoS supermajority, with a concrete instantiation $\tau=5000$ and $\theta=0.3$, requiring $\theta\tau=1500$ votes for confirmation. The proposed approach promises reduced latency, improved scalability, and robust security for SparkleX’s omnichain liquidity network by leveraging non-interactive verification, probabilistic vote allocation, and error-correcting data transmission.

Abstract

As the blockchain ecosystem grows and diversifies, seamless interoperability between blockchain networks has become essential. Interoperability not only enhances the usability and reach of individual chains but also fosters collaboration, unlocking new opportunities for decentralized applications. In this paper, we introduce Eden, the parallel-verified messaging protocol powering SparkleX. Eden is an elastic, decentralized envoy network built on a zero-knowledge MapReduce framework (i.e., ZK-MapReduce), enabling ultra-fast, secure, and fully decentralized cross-chain communication. We explore Eden's design, its robust security model, and the innovative mechanisms that ensure its elasticity and resilience, even in demanding network environments.

Eden: An Provably Secure, Ultra-Fast, and Fully Decentralized Blockchain Interoperability Protocol

TL;DR

Eden tackles the challenge of secure, scalable cross-chain interoperability by introducing a decentralized envoy network powered by a zero-knowledge MapReduce framework. The main idea is to replace traditional consensus with non-interactive, stake-weighted voting using zk-VRF randomness, allowing envoys to verify and vote on messages in parallel and to transmit message slices encoded with Raptor Codes. The paper provides a formal parameterization strategy, deriving bounds on the threshold and the number of required votes to ensure high-probability safety under a PoS supermajority, with a concrete instantiation and , requiring votes for confirmation. The proposed approach promises reduced latency, improved scalability, and robust security for SparkleX’s omnichain liquidity network by leveraging non-interactive verification, probabilistic vote allocation, and error-correcting data transmission.

Abstract

As the blockchain ecosystem grows and diversifies, seamless interoperability between blockchain networks has become essential. Interoperability not only enhances the usability and reach of individual chains but also fosters collaboration, unlocking new opportunities for decentralized applications. In this paper, we introduce Eden, the parallel-verified messaging protocol powering SparkleX. Eden is an elastic, decentralized envoy network built on a zero-knowledge MapReduce framework (i.e., ZK-MapReduce), enabling ultra-fast, secure, and fully decentralized cross-chain communication. We explore Eden's design, its robust security model, and the innovative mechanisms that ensure its elasticity and resilience, even in demanding network environments.
Paper Structure (16 sections, 2 theorems, 16 equations, 3 figures, 2 algorithms)

This paper contains 16 sections, 2 theorems, 16 equations, 3 figures, 2 algorithms.

Table of Contents

  1. Introduction
  2. Related Work
  3. Assumption
  4. Overview
  5. ZK-MapReduce Framework
  6. Mapping Phase
  7. Vote Calculation
  8. Random Number Generation
  9. Security Guarantee
  10. Choosing Optimal Parameters
  11. Security Foundation
  12. Determining $\tau$
  13. Determining $\theta$
  14. Parameter Selection
  15. Reducing Phase
  16. ...and 1 more sections

Key Result

Theorem 5.1

Let $h$ represent the fraction of tokens held by honest envoys, and $\alpha$ denote the proportion of tokens owned by active envoys. Suppose the probability of a token being selected is defined as $p = \tau / K$, where $\tau$ is a predefined constant and $K$ is the maximum token supply. The cross-ch

Figures (3)

  • Figure 1: Eden consists of a cluster of envoys, each independently and non-interactively delivering cross-chain messages.
  • Figure 2: ZK-MapReduce framework.
  • Figure 3: Determining the votes of $e_i$ via Inverse Transform Method: Here, $x$ represents a uniformly distributed random number in the interval $[0,1]$. $y$ is defined as the greatest integer less than or equal to $F^{-1}(x)$. Consequently, the voting power of $e_i$ is denoted by $y$.

Theorems & Definitions (4)

  • Theorem 5.1
  • proof
  • Theorem 5.2
  • proof