Briefing
A foundational problem in blockchain architecture is the absence of a rigorous, abstract theory for Maximal Extractable Value (MEV), which prevents formal security proofs against economic attacks. This research introduces a formal MEV theory based on an abstract model of blockchains and smart contracts, centering the concept on the axiomatization of adversarial knowledge. The new mechanism defines MEV as the maximal gain an actor can achieve by firing a sequence of transactions deducible from their private knowledge and the public mempool state. The single most important implication is that this formal model provides the necessary mathematical basis to construct and prove the security of new consensus protocols and transaction ordering mechanisms, moving the industry toward provably fair and economically secure decentralized systems.
Context
The prevalence of MEV ∞ where block producers exploit their power to reorder, drop, or insert transactions for profit ∞ has become a systemic risk to decentralized finance, extracting significant value at the expense of users. Despite the real-world impact of these attacks, which have already resulted in over a billion dollars in losses, the theoretical foundations of MEV remained insufficiently established. This lack of a formal, abstract model has been the critical barrier, preventing the development of rigorous security proofs for new protocols designed to mitigate or redistribute this value.
Analysis
The core breakthrough is the formal definition of MEV through the lens of adversarial knowledge. The model introduces the concept of a “$-bounded contract,” which is a foundational requirement for the theory to hold, ensuring that the contract’s state transition is constrained. The paper then defines an actor’s MEV as the maximal profit they can extract by executing a sequence of transactions that are logically deducible from the actor’s private information combined with the public mempool.
This approach fundamentally shifts the analysis from merely observing the outcome of an attack to formalizing the informational advantage that enables it. The model’s power lies in its ability to quantify and bound the extractable value based on the adversary’s information set, a mechanism that differs from prior empirical analyses by providing a theoretical upper limit on the economic threat.
Parameters
- Total Extracted Value ∞ $1.2 billion – The estimated value extracted from DeFi protocols so far by MEV attacks, highlighting the problem’s scale.
- Axiomatization of Adversarial Knowledge ∞ The core logical principle used to formally define and calculate the maximum extractable gain for any set of actors.
- $-Bounded Contracts ∞ A foundational assumption that ensures the MEV value is always defined and non-negative within the model’s framework.
Outlook
This formal theory is the prerequisite for the next generation of provably secure and fair blockchain architectures. In the next three to five years, this model will be used to formally verify the security guarantees of new transaction ordering mechanisms, such as those that employ threshold encryption or trusted execution environments. It opens new avenues of research into mechanism design, allowing developers to construct protocols where the MEV is provably minimized or channeled back to users, fundamentally changing the economic incentives for block production and ensuring a more equitable on-chain environment.
Verdict
This formal axiomatization of Maximal Extractable Value is a critical theoretical milestone, establishing the necessary foundational principles for provable security against economic exploitation in decentralized systems.
