
Briefing
The core problem is the absence of a rigorous theoretical foundation for Maximal Extractable Value (MEV), a class of economic attacks arising from a block proposer’s arbitrary transaction ordering power. This research proposes a formal, abstract theory of Extractable Value by modeling smart contracts as state transition systems and introducing a comprehensive axiomatization of the adversary’s knowledge, which combines private and public mempool information. This new model establishes a game-theoretic framework for defining adversarial MEV, enabling the formal proof of security properties, such as MEV-freedom, for decentralized finance protocols. The single most important implication is the ability to formally verify and design resilient blockchain architectures and smart contracts that are provably secure against transaction-ordering manipulation.

Context
The prevailing challenge in blockchain economics is the systemic risk posed by MEV, which has historically been addressed primarily through empirical observation and ad-hoc mitigation techniques. The fundamental theoretical limitation was the lack of a general, abstract, and formal model capable of characterizing the adversary’s full power ∞ including the ability to craft and insert transactions based on a combination of private keys and public mempool data ∞ which prevented rigorous, provable security guarantees for decentralized applications.

Analysis
The breakthrough is a formal, platform-agnostic model that abstracts the blockchain state into state transition systems augmented with a concept of ‘wealth’ and ‘gain.’ The new primitive is the formal definition of adversarial MEV , which is framed as a game where the adversary maximizes gain against a set of honest users attempting to minimize damage. Crucially, this model formalizes the adversary’s knowledge as an axiomatization that goes beyond simply replaying mempool transactions, allowing for the precise modeling of sophisticated attacks like sandwiching and generalized front-running. This differs fundamentally from previous approaches by shifting the analysis from empirical observation to formal verification, enabling proofs of MEV-freedom for smart contracts.

Parameters
- Total Extracted Value ∞ $1.2 Billion ∞ The approximate value extracted via MEV attacks, demonstrating the scale of the problem the theory addresses.

Outlook
This foundational work opens new avenues for research in mechanism design and formal verification. In the next 3-5 years, this theory will be leveraged by protocol developers to formally verify the MEV-resistance of core DeFi primitives like Automated Market Makers and lending pools before deployment. It enables the creation of a new class of provably fair and economically secure smart contracts, shifting the focus from post-hoc MEV mitigation to pre-design MEV-freedom as a core architectural principle for future decentralized systems.

Verdict
This formal theory provides the indispensable, rigorous foundation required to transition blockchain security from empirical observation to verifiable, mathematical proof.
