What is the Two Generals' Problem? (2024)

What is the Two Generals' Problem? (1)

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The Two Generals' Problem is a thought experiment and theoretical problem in computer science and communication theory, particularly in the study of distributed systems and the challenges of coordinating actions in the presence of unreliable communication. It highlights the impossibility of achieving perfect agreement or consensus between two parties over an unreliable link, such as the internet or any network that can lose messages.

The Scenario:

Imagine two generals of allied armies camped on opposite sides of a valley, with an enemy city in the center. They need to coordinate a simultaneous attack on the city to succeed, but they can only communicate by sending messengers through the valley, where messengers are at risk of being captured by the enemy.

The Problem:

  • General A decides to attack at dawn and sends a messenger to General B to inform him of the plan.
    • If General B receives the message, he knows General A's plan, but General A doesn't know if the message was received.
  • General B, upon receiving the message, agrees to the plan and sends a confirmation back to General A.
    • If General A receives the confirmation, he knows General B is ready, but now General B doesn't know if his confirmation was received.

This cycle of uncertainty can continue indefinitely, with neither general ever being sure that the other has agreed to the plan and knows the other is aware of this agreement.

Implications:

The Two Generals' Problem illustrates a fundamental issue in distributed systems and computer networks: achieving consensus with 100% certainty is impossible when there's any possibility that messages can be lost. This problem is foundational in understanding the challenges of distributed computing, leading to further exploration in algorithms and systems designed to achieve consensus under practical conditions, like the Byzantine Generals Problem and algorithms for fault tolerance and eventual consistency.

Solutions and Workarounds:

While the Two Generals' Problem suggests that perfect agreement is theoretically impossible in the presence of unreliable communication, various algorithms and protocols have been developed to achieve consensus with high probability in practical applications. These include:

  • Paxos and Raft Algorithms: Protocols designed for distributed systems to achieve consensus despite a certain degree of network unreliability.
  • Blockchain and Distributed Ledgers: Systems that achieve consensus on a global state through mechanisms like proof of work or proof of stake, despite the presence of potentially malicious actors.
  • Retransmission and Acknowledgment Mechanisms: Practical approaches in network protocols (like TCP) to ensure messages are eventually delivered and acknowledged, even though perfect certainty is not achieved.

Conclusion:

The Two Generals' Problem serves as a foundational concept in distributed computing, illustrating the challenges of achieving reliable consensus over unreliable communication channels. It underscores the importance of designing systems and protocols that can handle uncertainty and partial failures to achieve as reliable a consensus as possible.

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What is the Two Generals' Problem? (2024)

FAQs

What is the Two Generals' Problem? ›

In computing, the Two Generals' Problem is a thought experiment meant to illustrate the pitfalls and design challenges of attempting to coordinate an action by communicating over an unreliable link.

What is the two generals problem in blockchain? ›

One such approach is the Two Generals' Problem, which investigates the challenge of coordinating the actions of two generals who must jointly attack or retreat, while accounting for possible faulty messages.

Why is the two generals problem unsolvable yet TCP is considered reliable? ›

Despite TCP's overall reliability as a protocol, it does not resolve the Two Generals' Problem due to the inherent uncertainty in communication channels. One solution to The Two Generals' Problem is instead of one messenger, General A sends 100 messengers, each with a unique serial number, to General B.

What is Byzantine Generals Problem and explain how to achieve fault tolerance? ›

The Byzantine Generals Problem is a challenge in computer science that portrays the difficulties of ensuring security in a distributed network. To address the Byzantine Generals Problem, honest nodes must achieve consensus even with dishonest nodes in the mix.

What is the generals problem in distributed systems? ›

The Byzantine generals problem is a well-known concept in distributed computing and computer science that describes the difficulty of coordinating the actions of several independent parties in a distributed system. Marshall Pease, Robert Shostak, and Leslie Lamport developed the idea in 1982.

What is the answer to the two generals problem? ›

It is required that the two generals have their armies attack the city simultaneously to succeed, lest the lone attacker army die trying.

What is the generals problem in crypto? ›

In blockchain systems, the Byzantine Generals Problem is addressed in consensus protocols like proof of work (PoW) to reach an agreement among multiple nodes in a trustless environment. Byzantine fault tolerance represents an essential characteristic of decentralized blockchain networks.

What is the Byzantine Generals Problem for dummies? ›

The Byzantine generals are based on a game theory analogy. The problem is that multiple generals besiege Byzantium. They've encircled the city, but they must decide when to assault as a group. They will win if all generals assault simultaneously; however, they will lose if they attack.

Can the Byzantine Generals Problem be solved? ›

Proof-of-Work Solves the Byzantine Generals Problem

Because the rules are objective, there can be no disagreement or meddling with the information on the Bitcoin network.

Does Bitcoin solve the Byzantine Generals Problem? ›

Its groundbreaking solution to the Byzantine Generals' Problem established a foundation of trust and decentralized consensus, unlike any digital currency before it. Bitcoin's finite nature, mirroring precious metals, and its pioneering role in the crypto world solidify its status.

What is the Byzantine Generals Problem algorithm? ›

The problem is to find an algorithm to ensure that the loyal generals will reach agreement. It is shown that, using only oral messages, this problem is solvable if and only if more than two-thirds of the generals are loyal; so a single traitor can confound two loyal generals.

What is an example of a Byzantine failure? ›

A Byzantine failure is the loss of a system service due to a Byzantine fault in systems that require consensus among distributed nodes. If all generals attack in coordination, the battle is won (left). If two generals falsely declare that they intend to attack, but instead retreat, the battle is lost (right).

What is the solution to the Byzantine agreement problem? ›

In conclusion, the Byzantine agreement problem remains a significant challenge in distributed systems. The BFT algorithm provides a solution to the problem by allowing nodes to reach a consensus even in the presence of Byzantine nodes.

What is the biggest problem in blockchain? ›

Scalability Issues

One of the key technological challenges of blockchain is the network's technical scalability, which might lack of interest adoption, especially for public blockchains. The ability to process thousands of transactions per second is a hallmark of legacy transaction networks.

What is the double spend problem in blockchain? ›

What Is an Example of a Double Spend Problem? The most widely used example is an attack on a blockchain by an entity with more than 50% of the network's hashing power. This person or group could introduce an altered blockchain and spend the same tokens more than once.

What are the two important problems that blockchains dlt solve? ›

Top 10 Problems that Blockchain Solves
  • Data Storage. The times when knowledge was available only to the chosen ones are long gone. ...
  • Data Security. Storing data in blockchain will bring vast improvement to data security. ...
  • Transactions. ...
  • Intermediaries. ...
  • Supply Chains. ...
  • Intellectual Property. ...
  • Government Operations. ...
  • Charity.

What main problem does blockchain solve? ›

Blockchain reduces the probability of security breaches by limiting access to information encoded on an immutable ledger, making it easy to identify anyone trying to manipulate data.

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