Collaborative Transaction Notarization With Sliced Nonce Search

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Solution Overview

Problem

Current notarization methods in distributed ledger systems, such as Proof-of-Work (PoW), are inefficient and wasteful in terms of computing resources, and they struggle to maintain data integrity in Byzantine computing environments where malicious participants can disrupt transactions.

Innovation Solution

Implementing a Power-of-Collaboration (PoC) protocol where miners divide the solution space into slices and work cooperatively to find a nonce for notarization, with rewards for successful collaboration and penalties for non-cooperation, ensuring efficient use of computing resources.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If Proof-of-Work protocol is used for notarization, then security and decentralization are improved, but computing resource consumption and energy waste increase significantly

Engineering Contradiction:
Improvenotarization securityVSAvoidcomputing resource consumption
Core Design Contradiction:
ReliabilityVSLoss of energy

Solution Approach 1:

The solution space is divided into N slices, with each miner assigned a specific slice to search. This segmentation eliminates redundant computation across miners while maintaining the security of finding a valid nonce, thereby reducing overall computing resource consumption without compromising notarization security

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

Multiple miners collaborate by combining their computational efforts on different slices of the solution space. When one miner finds a solution, the collaborative effort is validated and rewarded, merging individual computational contributions into a secure notarization process that reduces total energy waste

Inventive Principle:
Principle #5Merging (Combining)

2Reliability

If data is fully replicated to enhance system integrity in Byzantine environment, then resiliency against malicious participants is improved, but system complexity and storage requirements increase

Engineering Contradiction:
Improvesystem integrityVSAvoidsystem complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The distributed ledger is divided into multiple shards or partitions that are distributed across different miners. Each miner maintains a segment of the data rather than a full copy, reducing storage requirements and system complexity while maintaining integrity through cryptographic verification and consensus mechanisms

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

A consensus mechanism acts as an intermediary to coordinate between miners holding different data segments. This mediator ensures that all participants can verify the integrity of the distributed data without requiring full replication, reducing complexity while maintaining resiliency against Byzantine faults

Inventive Principle:
Principle #24Intermediary (Mediator)

3Productivity

If competitive notarization protocol is used, then incentive for participation is improved, but transaction throughput decreases due to wasted computational effort

Engineering Contradiction:
Improvetransaction throughputVSAvoidwasted computing resources
Core Design Contradiction:
ProductivityVSLoss of energy

Solution Approach 1:

By dividing the solution space into distinct slices assigned to different miners, the system eliminates redundant computational effort. Each miner works on unique portions of the search space, ensuring that computational resources are not wasted on duplicate attempts, thereby improving transaction throughput while reducing energy loss

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

Miners continuously perform useful computational work on their assigned slices without interruption or waste. The collaborative framework ensures that every computational effort contributes to the overall goal of finding a valid nonce, maintaining continuous productive action that increases transaction throughput while minimizing energy waste

Inventive Principle:
Principle #20Continuity of useful action

Data Source

PatentUS12626231B2Collaborative transaction notarization in a Byzantine computing environment
Publication Date: 2026.05.12 RGT UNIV OF CALIFORNIA
  • US12626231B2 patent drawing
  • US12626231B2 patent drawing
  • US12626231B2 patent drawing

AI summary

A collaboration of miners cooperatively notarizes transactions to be added to a distributed ledger. A solution space is identified for notarizing the transactions, such as an integer space that may contain a nonce that, when hashed with the transactions or block, yields a hash value that satisfies specified criteria. The solution space is apportioned so that each miner has a discrete slice of the space in which to search for the nonce: different slices may be of equal or different sizes. All miners search their slices in parallel. If no miner announces success (e.g., within a specified time period), the solution space shifts so that each miner becomes responsible for a different slice. All miners may be rewarded when a solution is found, but a miner that failed to discover the nonce, despite searching a slice that contained it, is penalized and may not share in the reward.