
Briefing
A foundational problem in decentralized systems is the manipulation of transaction ordering, a practice known as Miner Extractable Value, which existing ledger properties like consistency and liveness fail to address. This research proposes a formal, Universally Composable (UC) definition for order fairness that rigorously integrates both receiver-order fairness and input causality, establishing a theoretical benchmark for security. The core breakthrough is a novel ledger protocol based on a YOSO-style mechanism that uses temporary transaction encryption, crucially achieving a communication complexity for decryption that is asymptotically independent of the total number of encrypted transactions. This new theoretical construction provides the necessary cryptographic primitive for building decentralized systems with provable, composable transaction order neutrality, fundamentally shifting the economic landscape of block production.

Context
The established theory of decentralized consensus prioritizes consistency and liveness, but it has historically neglected the economic and security implications of transaction sequencing. This oversight created the systemic problem of Miner Extractable Value (MEV), where block producers exploit their ordering power to extract value through front-running, sandwich attacks, and arbitrary reordering. The lack of a rigorous, composable definition for transaction fairness meant that proposed solutions were often ad-hoc or lacked formal security guarantees when integrated into larger, complex protocol stacks. This research directly addresses the need for a foundational, cryptographically sound definition of fairness that holds even when protocols are composed together.

Analysis
The paper introduces a new cryptographic primitive and ledger design to enforce order fairness. The core mechanism is a YOSO (You Only Speak Once)-style protocol that achieves fairness by forcing all transactions to be temporarily encrypted upon submission. This encryption prevents the block producer from viewing or manipulating the transaction order based on content. The transactions are later decrypted by the network after the block order is finalized.
The novelty lies in the decryption process, which is designed to be highly efficient, relying on a threshold cryptographic scheme where the communication overhead required for the collective decryption is constant regardless of the number of transactions being processed. This decoupling of cryptographic overhead from transaction volume is the key to achieving a practical, scalable, and provably fair-ordering ledger.

Parameters
- Decryption Communication Complexity → Independent of the number of encrypted transactions. This asymptotic complexity is critical for scaling the fair-ordering mechanism to high-throughput systems.

Outlook
The introduction of a Universally Composable definition for transaction order fairness establishes a new, higher standard for consensus protocol design. Future research will focus on removing the reliance on standard cryptographic assumptions and exploring constructions that do not require global trusted execution environments, while maintaining the constant-complexity decryption property. In the next three to five years, this framework will enable the deployment of truly MEV-resistant decentralized exchanges and lending protocols, where transaction ordering is provably neutral, leading to a more equitable and predictable on-chain economy. This work provides the necessary theoretical foundation for a new generation of fair-by-design blockchain architectures.

Verdict
This research delivers a foundational, composable cryptographic primitive that transforms transaction ordering from an economic vulnerability into a provable security property.
