Colliding Random Walks for Distributed Leader Election

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Solution Overview

Problem

Existing consensus mechanisms in distributed systems, such as blockchains, face challenges with slow leader election speed, resource inefficiency, high latency, fairness concerns, and scalability issues, particularly in constrained devices, and lack a secure, quantum-resistant, and fault-tolerant leader election mechanism.

Innovation Solution

A system and method utilizing colliding random walks with a Proof-of-Match Adaptive (PoMA) mechanism, where nodes generate pairs of software coupons (Left and Right) for randomized walks, enabling fair leader election by identifying matches, and employing a fault-tolerant 'm-ling' mechanism to increase leader election probability and resilience, suitable for high-volume data handling in distributed systems.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Speed

If existing consensus mechanisms (Paxos, Raft, PoW, PoS) are used for leader election, then consensus can be achieved, but the leader election speed is slow and latency is high

Engineering Contradiction:

Improveleader election speedVSAvoidelection latency

Core Design Contradiction:

SpeedVSLoss of time

Solution Approach 1:

The patent replaces traditional mechanical consensus protocols (Paxos, Raft, PoW, PoS) with a probabilistic coupon matching system. Instead of deterministic leader election through complex protocols or energy-intensive mining, nodes generate and exchange cryptographic coupons that randomly match, enabling faster leader selection without the overhead of traditional consensus mechanisms.

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The system changes the fundamental parameters of leader election from deterministic protocol-based selection to probabilistic coupon-based selection. By adjusting coupon generation rates, validity periods, and matching algorithms, the system can control leader election speed and latency independently of the underlying consensus mechanism.

Inventive Principle:

Principle #35Parameter changes

2Productivity

If existing consensus mechanisms are implemented, then leader election can be performed, but resource consumption is high and the system is resource hungry

Engineering Contradiction:

ImprovethroughputVSAvoidenergy efficiency

Core Design Contradiction:

ProductivityVSUse of energy by moving object

Solution Approach 1:

The patent uses disposable cryptographic coupons with limited validity periods. These coupons are generated cheaply, exchanged quickly, and discarded after use. This approach replaces expensive, long-running consensus protocols with inexpensive, short-lived cryptographic artifacts that consume minimal computational and energy resources.

Inventive Principle:

Principle #27Cheap short-living objects (Disposable)

Solution Approach 2:

Instead of requiring nodes to participate in expensive consensus rounds, the system uses cryptographic copies (coupons) that can be generated and exchanged independently. Each node creates copies of leadership credentials through coupon generation, eliminating the need for resource-intensive inter-node verification protocols.

Inventive Principle:

Principle #26Copying

3Reliability

If traditional leader election mechanisms are used, then consensus can be reached, but fairness and security concerns arise including centralization risks

Engineering Contradiction:

Improvefairness and securityVSAvoidmechanism complexity

Core Design Contradiction:

ReliabilityVSDevice complexity

Solution Approach 1:

The patent introduces a new dimension of cryptographic randomness into leader election through coupon matching. Instead of relying on centralized authorities or complex voting protocols, the system adds a probabilistic dimension where leadership emerges from cryptographic chance, improving fairness without increasing centralization risks.

Inventive Principle:

Principle #17Another dimension (Dimensionality change)

4Productivity

If existing consensus algorithms are deployed, then leader election can occur, but scalability is limited and the system cannot handle large volumes of data at high velocity

Engineering Contradiction:

Improvedata handling velocityVSAvoidsystem complexity

Core Design Contradiction:

ProductivityVSDevice complexity

Solution Approach 1:

The patent segments the leader election process into independent coupon generation, exchange, and matching phases. This segmentation allows parallel processing of multiple leadership decisions simultaneously, enabling the system to handle large volumes of data transactions without sequential bottlenecks inherent in traditional consensus protocols.

Inventive Principle:

Principle #1Segmentation

Data Source

PatentUS11159611B2System and method for leader election for distributed systems

Publication Date: 2021.10.26 KRYPC CORP

AI summary

The embodiment herein provides a system and method for providing a novel leader election mechanism in distributed systems that is randomized in twin dimensions of space and time using the concept of a colliding random walk (CRW). Leader election is randomized in space in terms of the node identified as the leader and the time taken to identify the leader. A source node is enabled to generate left and right coupons in a quantum resistant manner for random walks. A novel fault tolerance mechanism is provided to identify several leaders for same set of coupons. In this system and method, the source vertex generates multiple CRWs for each piece of work that needs to be done. The fault tolerance mechanism reduces the time to collision, increases the number of leaders and also offers increased resilience and tolerance to faults.