
Briefing
A foundational problem in Asynchronous Byzantine Fault Tolerant (BFT) consensus protocols is the high latency and instability introduced by the mandatory sequential execution of the Asynchronous Common Sub-seQuence (ACSQ), specifically its agreement stage. This research proposes Falcon, a novel asynchronous BFT protocol that introduces the Graded Broadcast (GBC) primitive, which enables nodes to include blocks directly into the Asynchronous Common Subset (ACS) set, effectively bypassing the time-consuming agreement phase. This architectural shift, complemented by the Asymmetrical Asynchronous Binary Agreement (AABA) for safety and a partial-sorting mechanism for stability, allows the protocol to achieve significantly lower latency and enhanced throughput. The most important implication is the theoretical blueprint for building decentralized systems that deliver near-instantaneous finality under adverse network conditions, fundamentally redefining the practical limits of the scalability trilemma for permissioned and high-performance decentralized networks.

Context
Established asynchronous BFT architectures, particularly those built on the Asynchronous Common Sub-seQuence (ACSQ) paradigm, are characterized by a multi-stage process that guarantees safety and liveness under arbitrary network delays. The core limitation resides in the inherent latency of the Asynchronous Common Subset (ACS) component, which requires a computationally and communicatively expensive agreement phase before transactions can be committed. This integral-sorting mechanism causes significant latency instability and forces the discarding of blocks, which collectively constrains the overall throughput and responsiveness of the distributed ledger, making these protocols impractical for high-frequency applications.

Analysis
The Falcon protocol introduces a structural re-engineering of the BFT consensus flow by decoupling block dissemination from the costly final agreement. The Graded Broadcast (GBC) primitive is the core mechanism; it allows a node to assign a ‘grade’ to a block during the initial broadcast. Blocks that achieve a sufficiently high grade ∞ signaled by a threshold of correct nodes ∞ are immediately included in the node’s local Common Subset without requiring the full, multi-round binary agreement process.
This direct inclusion path acts as a fast-path for block finality during favorable network conditions. For safety, the protocol incorporates the Asymmetrical Asynchronous Binary Agreement (AABA) , which complements GBC by providing a robust fallback mechanism that quickly outputs a decision if the fast path is not taken, ensuring the protocol maintains liveness and safety even when Byzantine nodes are present.

Parameters
- Consensus Latency ∞ 12 ms – The measured time to finality in a favorable, four-node testbed configuration, demonstrating a near-real-time performance metric.
- Consensus Throughput ∞ 10,042 tx/s – The measured transaction processing speed in the same favorable test environment.
- Core Primitives ∞ Graded Broadcast (GBC) – The novel broadcast protocol that enables direct block commitment, bypassing the traditional agreement stage.
- Fault Tolerance ∞ mathbff where 3f+1 le n – The protocol maintains the optimal Byzantine fault tolerance of one-third of the total nodes (mathbfn).

Outlook
This research establishes a new performance baseline for asynchronous BFT, which is critical for the next generation of high-frequency, low-latency decentralized applications such as cross-chain bridges, decentralized exchanges, and gaming infrastructure. Over the next three to five years, the GBC primitive is likely to be integrated into existing DAG-based and asynchronous BFT protocols, unlocking a new design space for consensus that prioritizes responsiveness without sacrificing the security guarantees of Byzantine fault tolerance. Future research will focus on optimizing the communication overhead of the GBC primitive and formally integrating its performance benefits into a generalized asynchronous consensus framework.

Verdict
The Falcon protocol introduces a fundamental, provably safe architectural primitive that resolves the long-standing latency constraint in asynchronous Byzantine Fault Tolerance, significantly advancing the theoretical frontier of high-performance distributed consensus.
