
Briefing
Traditional distributed ledger technologies fundamentally entangle the network’s correctness guarantee with a specific, policy-dependent total ordering mechanism, forcing all concurrent events into an arbitrary linear history. The research introduces the Deterministic Causal Structure (DCS) theory, which defines the ledger’s integrity through the axiomatic, policy-agnostic structure of a unique Provenance Directed Acyclic Graph (DAG). This foundational shift establishes consensus on a Causal Partial Order, providing a deterministic and unique record of interaction history independent of external operational policies, which is critical for resilient, high-throughput asynchronous systems.

Context
Prior to this work, the prevailing theoretical challenge in distributed systems was the necessity of achieving a global Total Order. Established BFT and DAG-based consensus protocols, including those leveraging DAGs for data dissemination, ultimately rely on an external policy, such as a leader’s sequencing decision or a resource-intensive admission mechanism like Proof-of-Work, to linearize naturally concurrent events. This entanglement means the final, correct log is a direct artifact of the policy, making the system’s integrity dependent on the policy’s fairness and security.

Analysis
The core mechanism of the Deterministic Causal Structure is the transformation of the ledger from a policy-dependent linear chain into a policy-agnostic Provenance DAG. This new primitive is defined by the intrinsic causal relationships between contributions, where a contribution’s correctness is verifiable based on the immutable properties of the data itself, independent of its position in a sequence dictated by an external protocol. The DCS model achieves consensus on the Causal Partial Order, meaning nodes agree on what happened and what caused what without needing to agree on an arbitrary, specific when for concurrent events. This fundamentally differs from previous DAG protocols that use the structure only as an intermediate step toward enforcing a Total Order.

Parameters
- Order Type Achieved – Foundational Metric ∞ Causal Partial Order. This is the new agreement state, replacing the traditional Total Order for concurrent events.
- Integrity Dependence – System Axiom ∞ Policy-Agnostic. The ledger’s correctness is derived from the data’s intrinsic structure, independent of admission or ordering rules.

Outlook
The DCS theory opens a critical new avenue for decentralized system design by providing a blueprint for systems that scale horizontally without the performance bottlenecks of forced linearization. In the next three to five years, this research will likely unlock new asynchronous consensus protocols capable of near-optimal Byzantine Fault Tolerance (BFT) performance, where execution layers can process transactions in parallel and simply commit their causal relationships to the consensus layer. This paradigm shift will lead to the development of highly specialized, high-throughput execution environments that inherit security without sacrificing performance.

Verdict
This work represents a fundamental re-axiomatization of the distributed ledger, establishing that consensus on causal structure is sufficient for correctness, thereby obsoleting the universal requirement for a Total Order.
