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    "title": "Ben-Or: randomized agreement without a common clock",
    "summary": "Ben-Or presents randomized binary-agreement protocols for fully asynchronous message-passing systems: crash tolerance with N>2t and a Byzantine construction with N>5t, with probability-one termination under the stated admissible scheduling model.\n\nIf computers cannot distinguish a crashed peer from a slow one, a deterministic agreement algorithm may wait forever. Ben-Or changes one ingredient: unresolved participants can make random choices, while messages carry round information and quorum conditions protect agreement. The result is an early concrete route to eventual agreement without a shared timing bound. Randomness changes the termination guarantee; it does not make every possible sequence finish by a deadline. The Byzantine variant also requires participants to identify message senders. These are mathematical protocols, not a ready-made permissionless network or a mechanism for deciding which scientific claim is true.",
    "boundary": "The 1983 target is a four-page extended abstract, not a full proof article. N is a fixed process population and t a fault bound; fair admissible schedules eventually deliver messages to continuing correct receivers. Crash and Byzantine protocols have different sufficient thresholds, N>2 t and N>5 t. Byzantine senders must be identifiable; no Sybil/open-membership guarantee follows. The scheduler may use past/current state, not unspecified foreknowledge of future random choices. Probability-one termination does not mean every random tape terminates or impose a wall-clock deadline. The efficiency discussion allows exponential expected rounds; the introduction explicitly limits constant expected rounds for t=O(sqrt(N)) to synchronous execution. Source theorem wording sometimes says all processes in the crash case, but already crashed processes need not decide. The account does not certify a complete pseudocode transcription or reconstruct the omitted proof details. Its 1983 uncertainty about the 5 t bound is not a claim that this remains optimal or open today. No proof/model checking or live protocol replay was performed. FLP, prior randomized synchronization and later improved protocols retain separate ownership. Agreement does not establish scientific correctness.",
    "area": "Randomized asynchronous agreement",
    "topic": "Computing",
    "year": 1983,
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        "description": "The 1983 target is a four-page extended abstract, not a full proof article. N is a fixed process population and t a fault bound; fair admissible schedules eventually deliver messages to continuing correct receivers. Crash and Byzantine protocols have different sufficient thresholds, N>2 t and N>5 t. Byzantine senders must be identifiable; no Sybil/open-membership guarantee follows. The scheduler may use past/current state, not unspecified foreknowledge of future random choices. Probability-one termination does not mean every random tape terminates or impose a wall-clock deadline. The efficiency discussion allows exponential expected rounds; the introduction explicitly limits constant expected rounds for t=O(sqrt(N)) to synchronous execution. Source theorem wording sometimes says all processes in the crash case, but already crashed processes need not decide. The account does not certify a complete pseudocode transcription or reconstruct the omitted proof details. Its 1983 uncertainty about the 5 t bound is not a claim that this remains optimal or open today. No proof/model checking or live protocol replay was performed. FLP, prior randomized synchronization and later improved protocols retain separate ownership. Agreement does not establish scientific correctness.",
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      "sources": [
        {
          "citation": "Ben-Or, Another Advantage of Free Choice: Completely Asynchronous Agreement Protocols, PODC1983 extended abstract",
          "url": "https://homepage.cs.uiowa.edu/~ghosh/BenOr.pdf"
        },
        {
          "citation": "Hebrew University research output: Ben-Or1983 original byline, year and pages",
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      "statement": "# Ben-Or: randomized agreement without a common clock\n\nBen-Or presents randomized binary-agreement protocols for fully asynchronous message-passing systems: crash tolerance with N>2t and a Byzantine construction with N>5t, with probability-one termination under the stated admissible scheduling model.\n\nIf computers cannot distinguish a crashed peer from a slow one, a deterministic agreement algorithm may wait forever. Ben-Or changes one ingredient: unresolved participants can make random choices, while messages carry round information and quorum conditions protect agreement. The result is an early concrete route to eventual agreement without a shared timing bound. Randomness changes the termination guarantee; it does not make every possible sequence finish by a deadline. The Byzantine variant also requires participants to identify message senders. These are mathematical protocols, not a ready-made permissionless network or a mechanism for deciding which scientific claim is true.\n\n## Scientific scope\n\nThe 1983 target is a four-page extended abstract, not a full proof article. N is a fixed process population and t a fault bound; fair admissible schedules eventually deliver messages to continuing correct receivers. Crash and Byzantine protocols have different sufficient thresholds, N>2 t and N>5 t. Byzantine senders must be identifiable; no Sybil/open-membership guarantee follows. The scheduler may use past/current state, not unspecified foreknowledge of future random choices. Probability-one termination does not mean every random tape terminates or impose a wall-clock deadline. The efficiency discussion allows exponential expected rounds; the introduction explicitly limits constant expected rounds for t=O(sqrt(N)) to synchronous execution. Source theorem wording sometimes says all processes in the crash case, but already crashed processes need not decide. The account does not certify a complete pseudocode transcription or reconstruct the omitted proof details. Its 1983 uncertainty about the 5 t bound is not a claim that this remains optimal or open today. No proof/model checking or live protocol replay was performed. FLP, prior randomized synchronization and later improved protocols retain separate ownership. Agreement does not establish scientific correctness.\n\n## People and systems\n\nMichael Ben-Or\n\n\n\n## Original sources\n\n- [Ben-Or, Another Advantage of Free Choice: Completely Asynchronous Agreement Protocols, PODC1983 extended abstract](https://homepage.cs.uiowa.edu/~ghosh/BenOr.pdf)\n- [Hebrew University research output: Ben-Or1983 original byline, year and pages](https://cris.huji.ac.il/en/publications/another-advantage-of-free-choice-completely-asynchronous-agreemen/)\n",
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