
Briefing
The core research problem centers on the systemic economic damage caused by Maximal Extractable Value (MEV) attacks, which lacked a rigorous theoretical foundation for mitigation. This paper proposes a formal, abstract theory of MEV by axiomatizing adversarial knowledge and defining universal MEV as the maximal profit extractable by any actor, regardless of their identity or initial wealth. This foundational breakthrough provides the necessary mathematical framework to formally define and prove the security property of MEV-freedom for smart contracts, fundamentally shifting the approach to blockchain architecture from reactive mitigation to proactive, provable security.

Context
The prevailing challenge in decentralized finance (DeFi) security was the absence of a formal, established definition for Maximal Extractable Value, despite its increasing real-world impact on users and network stability. MEV, which arises from a block producer’s power to reorder, insert, or censor transactions, was understood informally as an economic attack. This lack of a rigorous, abstract model made it theoretically impossible to construct proofs guaranteeing that a specific smart contract or protocol design was truly secure or “MEV-free,” leaving the entire DeFi ecosystem vulnerable to economically driven manipulation.

Analysis
The paper introduces a new model based on an abstract representation of blockchains and smart contracts, grounding its MEV definition in the axiomatization of adversarial knowledge. The mechanism quantifies MEV as the maximal gain an adversary can achieve by firing a sequence of transactions deducible from their private knowledge and the public mempool state. Crucially, the concept of universal MEV is introduced, which measures the maximal extractable value by any adversary, thereby decoupling the attack’s profitability from the attacker’s specific identity or current token balance. This formalization provides a binary classification → a contract is deemed MEV-free if its universal MEV is zero, establishing a mathematically verifiable security property that fundamentally differs from previous, qualitative security notions.

Parameters
- Total Extracted Value → $1.2 Billion – The approximate dollar amount extracted from MEV attacks on DeFi protocols prior to this research, underscoring the severity of the problem.
- MEV-Freedom → Zero – The required value of the universal MEV metric for a smart contract or system state to be formally classified as MEV-free.
- Adversarial Knowledge → Axiomatization – The core logical primitive used to formally define the transaction sequences an adversary can execute to maximize their gain.

Outlook
This formal MEV theory immediately unlocks a new avenue of research focused on building automated analysis tools for MEV-freedom, akin to existing formal verification tools for functional correctness. In the next 3-5 years, this foundational work is expected to enable the design of provably secure DeFi primitives → Automated Market Makers (AMMs), lending protocols, and oracles → that can be certified against transaction-ordering attacks. The ultimate application is the integration of these proofs into smart contract compilers, ensuring that economic security is a verifiable property before deployment, thereby creating a more stable and equitable on-chain environment.
