{"abstract":"A client removed by timeout reappears when an old update is redelivered.","category":"CRDT convergence","checks":9,"contract":"Presence updates [\"update\", client, clock, state|None, now] are accepted when clock exceeds the last accepted clock for that client, or when it equals it, the state is None and the client is present. Accepted updates record the clock; a None state removes the client (logging a removal only if it was present); otherwise [state, now] is stored. [\"tick\", now] removes, in client order, every client other than self_id whose last update is at least timeout old. Return present [client, state] pairs and the removal log.","evaluation_group":"w2-crdt-convergence-awareness-presence","failed_approach":"Forgetting the recorded clock once a client is gone lets even older updates bring it back.","family":"w2-crdt-convergence-awareness-presence-stale-clock","id":"FA-75271","implementations":{"attempt":{"sha256":"f222438a267111240784110d0073aab82921ed51728dde65c3ff1069c625b8cd","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(events, self_id, timeout):\n    table = {}\n    clocks = {}\n    removed = []\n    for ev in events:\n        if ev[0] == 'update':\n            _, c, clk, st, now = ev\n            cur = clocks.get(c, -1) if c in table else -1\n            if clk > cur or (clk == cur and st is None and c in table):\n                clocks[c] = clk\n                if st is None:\n                    if table.pop(c, None) is not None:\n                        removed.append(c)\n                else:\n                    table[c] = [st, now]\n        else:\n            now = ev[1]\n            for c in sorted(table):\n                if c != self_id and now - table[c][1] >= timeout:\n                    del table[c]\n                    removed.append(c)\n    return {'present': sorted([c, v[0]] for c, v in table.items()), 'removed': removed}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = {\n    1: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me1', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me1', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 1, 'on', 0], ['update', 'c2', 1, None, 1]], 'me1', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 1, 'on', 0], ['update', 'c2', 1, 'changed', 1]], 'me1', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me1', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me1', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me1', 30], {'present': [['me1', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me1', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me1', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 101, 's', 3], ['tick', 5], ['tick', 13]], 'me1', 10], {'present': [], 'removed': ['c8']})],\n    2: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me2', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me2', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 2, 'on', 0], ['update', 'c2', 2, None, 1]], 'me2', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 2, 'on', 0], ['update', 'c2', 2, 'changed', 1]], 'me2', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me2', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me2', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me2', 30], {'present': [['me2', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me2', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me2', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 102, 's', 3], ['tick', 5], ['tick', 13]], 'me2', 10], {'present': [], 'removed': ['c8']})],\n    3: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me3', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me3', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 3, 'on', 0], ['update', 'c2', 3, None, 1]], 'me3', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 3, 'on', 0], ['update', 'c2', 3, 'changed', 1]], 'me3', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me3', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me3', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me3', 30], {'present': [['me3', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me3', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me3', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 103, 's', 3], ['tick', 5], ['tick', 13]], 'me3', 10], {'present': [], 'removed': ['c8']})],\n    4: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me4', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me4', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 4, 'on', 0], ['update', 'c2', 4, None, 1]], 'me4', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 4, 'on', 0], ['update', 'c2', 4, 'changed', 1]], 'me4', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me4', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me4', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me4', 30], {'present': [['me4', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me4', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me4', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 104, 's', 3], ['tick', 5], ['tick', 13]], 'me4', 10], {'present': [], 'removed': ['c8']})],\n    5: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me5', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me5', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 5, 'on', 0], ['update', 'c2', 5, None, 1]], 'me5', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 5, 'on', 0], ['update', 'c2', 5, 'changed', 1]], 'me5', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me5', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me5', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me5', 30], {'present': [['me5', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me5', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me5', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 105, 's', 3], ['tick', 5], ['tick', 13]], 'me5', 10], {'present': [], 'removed': ['c8']})],\n}[N]\nfor label, args, expected in cases:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"3330aebec2bcd61ff2b889edd724448fa8132f4119940a3df8a44fb6b48c173e","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(events, self_id, timeout):\n    table = {}\n    clocks = {}\n    removed = []\n    for ev in events:\n        if ev[0] == 'update':\n            _, c, clk, st, now = ev\n            cur = clocks.get(c, -1)\n            if clk >= cur or (clk == cur and st is None and c in table):\n                clocks[c] = clk\n                if st is None:\n                    if table.pop(c, None) is not None:\n                        removed.append(c)\n                else:\n                    table[c] = [st, now]\n        else:\n            now = ev[1]\n            for c in sorted(table):\n                if c != self_id and now - table[c][1] >= timeout:\n                    del table[c]\n                    removed.append(c)\n    return {'present': sorted([c, v[0]] for c, v in table.items()), 'removed': removed}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = {\n    1: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me1', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me1', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 1, 'on', 0], ['update', 'c2', 1, None, 1]], 'me1', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 1, 'on', 0], ['update', 'c2', 1, 'changed', 1]], 'me1', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me1', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me1', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me1', 30], {'present': [['me1', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me1', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me1', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 101, 's', 3], ['tick', 5], ['tick', 13]], 'me1', 10], {'present': [], 'removed': ['c8']})],\n    2: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me2', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me2', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 2, 'on', 0], ['update', 'c2', 2, None, 1]], 'me2', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 2, 'on', 0], ['update', 'c2', 2, 'changed', 1]], 'me2', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me2', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me2', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me2', 30], {'present': [['me2', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me2', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me2', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 102, 's', 3], ['tick', 5], ['tick', 13]], 'me2', 10], {'present': [], 'removed': ['c8']})],\n    3: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me3', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me3', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 3, 'on', 0], ['update', 'c2', 3, None, 1]], 'me3', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 3, 'on', 0], ['update', 'c2', 3, 'changed', 1]], 'me3', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me3', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me3', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me3', 30], {'present': [['me3', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me3', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me3', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 103, 's', 3], ['tick', 5], ['tick', 13]], 'me3', 10], {'present': [], 'removed': ['c8']})],\n    4: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me4', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me4', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 4, 'on', 0], ['update', 'c2', 4, None, 1]], 'me4', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 4, 'on', 0], ['update', 'c2', 4, 'changed', 1]], 'me4', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me4', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me4', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me4', 30], {'present': [['me4', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me4', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me4', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 104, 's', 3], ['tick', 5], ['tick', 13]], 'me4', 10], {'present': [], 'removed': ['c8']})],\n    5: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me5', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me5', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 5, 'on', 0], ['update', 'c2', 5, None, 1]], 'me5', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 5, 'on', 0], ['update', 'c2', 5, 'changed', 1]], 'me5', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me5', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me5', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me5', 30], {'present': [['me5', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me5', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me5', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 105, 's', 3], ['tick', 5], ['tick', 13]], 'me5', 10], {'present': [], 'removed': ['c8']})],\n}[N]\nfor label, args, expected in cases:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"fixed":{"sha256":"7a90f56e2d1048b0ab250e1c6cb00437e5785e7438fb263581d1fa05010dcdc5","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(events, self_id, timeout):\n    table = {}\n    clocks = {}\n    removed = []\n    for ev in events:\n        if ev[0] == 'update':\n            _, c, clk, st, now = ev\n            cur = clocks.get(c, -1)\n            if clk > cur or (clk == cur and st is None and c in table):\n                clocks[c] = clk\n                if st is None:\n                    if table.pop(c, None) is not None:\n                        removed.append(c)\n                else:\n                    table[c] = [st, now]\n        else:\n            now = ev[1]\n            for c in sorted(table):\n                if c != self_id and now - table[c][1] >= timeout:\n                    del table[c]\n                    removed.append(c)\n    return {'present': sorted([c, v[0]] for c, v in table.items()), 'removed': removed}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = {\n    1: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me1', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me1', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 1, 'on', 0], ['update', 'c2', 1, None, 1]], 'me1', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 1, 'on', 0], ['update', 'c2', 1, 'changed', 1]], 'me1', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me1', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me1', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me1', 30], {'present': [['me1', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me1', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me1', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 101, 's', 3], ['tick', 5], ['tick', 13]], 'me1', 10], {'present': [], 'removed': ['c8']})],\n    2: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me2', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me2', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 2, 'on', 0], ['update', 'c2', 2, None, 1]], 'me2', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 2, 'on', 0], ['update', 'c2', 2, 'changed', 1]], 'me2', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me2', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me2', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me2', 30], {'present': [['me2', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me2', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me2', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 102, 's', 3], ['tick', 5], ['tick', 13]], 'me2', 10], {'present': [], 'removed': ['c8']})],\n    3: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me3', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me3', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 3, 'on', 0], ['update', 'c2', 3, None, 1]], 'me3', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 3, 'on', 0], ['update', 'c2', 3, 'changed', 1]], 'me3', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me3', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me3', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me3', 30], {'present': [['me3', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me3', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me3', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 103, 's', 3], ['tick', 5], ['tick', 13]], 'me3', 10], {'present': [], 'removed': ['c8']})],\n    4: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me4', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me4', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 4, 'on', 0], ['update', 'c2', 4, None, 1]], 'me4', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 4, 'on', 0], ['update', 'c2', 4, 'changed', 1]], 'me4', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me4', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me4', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me4', 30], {'present': [['me4', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me4', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me4', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 104, 's', 3], ['tick', 5], ['tick', 13]], 'me4', 10], {'present': [], 'removed': ['c8']})],\n    5: [('newer update replaces', [[['update', 'c1', 1, 'idle', 0], ['update', 'c1', 2, 'typing', 5]], 'me5', 30], {'present': [['c1', 'typing']], 'removed': []}), ('stale update after timeout is rejected', [[['update', 'c1', 3, 'on', 0], ['tick', 30], ['update', 'c1', 3, 'on', 31], ['update', 'c1', 2, 'old', 32]], 'me5', 30], {'present': [], 'removed': ['c1']}), ('offline notice at the same clock removes', [[['update', 'c2', 5, 'on', 0], ['update', 'c2', 5, None, 1]], 'me5', 30], {'present': [], 'removed': ['c2']}), ('same-clock state change is ignored', [[['update', 'c2', 5, 'on', 0], ['update', 'c2', 5, 'changed', 1]], 'me5', 30], {'present': [['c2', 'on']], 'removed': []}), ('timeout boundary', [[['update', 'c3', 1, 'x', 10], ['tick', 39], ['update', 'c4', 1, 'y', 20], ['tick', 40]], 'me5', 30], {'present': [['c4', 'y']], 'removed': ['c3']}), ('own state never expires', [[['update', 'me5', 1, 'self', 0], ['tick', 500], ['update', 'me', 7, 'other', 490], ['tick', 600]], 'me5', 30], {'present': [['me5', 'self']], 'removed': ['me']}), ('activity refreshes the timer', [[['update', 'c5', 1, 'a', 0], ['update', 'c5', 2, 'b', 25], ['tick', 40]], 'me5', 30], {'present': [['c5', 'b']], 'removed': []}), ('offline notice for an unknown client', [[['update', 'c6', 4, None, 0], ['update', 'c6', 3, 'late', 1], ['update', 'c7', 1, 'on', 2], ['update', 'c7', 2, None, 3], ['update', 'c7', 2, None, 4]], 'me5', 30], {'present': [], 'removed': ['c7']}), ('large clocks and short timeout', [[['update', 'c8', 105, 's', 3], ['tick', 5], ['tick', 13]], 'me5', 10], {'present': [], 'removed': ['c8']})],\n}[N]\nfor label, args, expected in cases:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"A deterministic, bounded teaching model of one replicated data type with stipulated operation and merge rules; it is not a production CRDT library and makes no claim of conformance to any specific published design. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"w2-crdt-convergence-awareness-presence-stale-clock","generated_at":"2026-09-29T14:49:04.639708+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Ephemeral presence rides alongside document CRDTs and must neither resurrect departed peers nor expire the local user.","repair":"Accept only strictly newer clocks, except for a same-clock offline notice.","root_cause":"Updates with a clock equal to the last accepted one are accepted again.","sha256":"fa16ae0cffb3e34330c6069a529d2b4a0102f46663fa3261984d0dc875f2740b","title":"Awareness presence table: a replayed update revives a timed-out client · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":46.361,"exit_code":1,"observations":[{"actual":{"present":[["c1","typing"]],"removed":[]},"check":"newer update replaces","expected":{"present":[["c1","typing"]],"removed":[]},"passed":true},{"actual":{"present":[["c1","on"]],"removed":["c1"]},"check":"stale update after timeout is rejected","expected":{"present":[],"removed":["c1"]},"passed":false},{"actual":{"present":[],"removed":["c2"]},"check":"offline notice at the same clock removes","expected":{"present":[],"removed":["c2"]},"passed":true},{"actual":{"present":[["c2","on"]],"removed":[]},"check":"same-clock state change is ignored","expected":{"present":[["c2","on"]],"removed":[]},"passed":true},{"actual":{"present":[["c4","y"]],"removed":["c3"]},"check":"timeout boundary","expected":{"present":[["c4","y"]],"removed":["c3"]},"passed":true},{"actual":{"present":[["me1","self"]],"removed":["me"]},"check":"own state never expires","expected":{"present":[["me1","self"]],"removed":["me"]},"passed":true},{"actual":{"present":[["c5","b"]],"removed":[]},"check":"activity refreshes the timer","expected":{"present":[["c5","b"]],"removed":[]},"passed":true},{"actual":{"present":[["c6","late"]],"removed":["c7"]},"check":"offline notice for an unknown client","expected":{"present":[],"removed":["c7"]},"passed":false},{"actual":{"present":[],"removed":["c8"]},"check":"large clocks and short timeout","expected":{"present":[],"removed":["c8"]},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"newer update replaces\", \"actual\": {\"present\": [[\"c1\", \"typing\"]], \"removed\": []}, \"expected\": {\"present\": [[\"c1\", \"typing\"]], \"removed\": []}, \"passed\": true}, {\"check\": \"stale update after timeout is rejected\", \"actual\": {\"present\": [[\"c1\", \"on\"]], \"removed\": [\"c1\"]}, \"expected\": {\"present\": [], \"removed\": [\"c1\"]}, \"passed\": false}, {\"check\": \"offline notice at the same clock removes\", \"actual\": {\"present\": [], \"removed\": [\"c2\"]}, \"expected\": {\"present\": [], \"removed\": [\"c2\"]}, \"passed\": true}, {\"check\": \"same-clock state change is ignored\", \"actual\": {\"present\": [[\"c2\", \"on\"]], \"removed\": []}, \"expected\": {\"present\": [[\"c2\", \"on\"]], \"removed\": []}, \"passed\": true}, {\"check\": \"timeout boundary\", \"actual\": {\"present\": [[\"c4\", \"y\"]], \"removed\": [\"c3\"]}, \"expected\": {\"present\": [[\"c4\", \"y\"]], \"removed\": [\"c3\"]}, \"passed\": true}, {\"check\": \"own state never expires\", \"actual\": {\"present\": [[\"me1\", \"self\"]], \"removed\": [\"me\"]}, \"expected\": {\"present\": [[\"me1\", \"self\"]], \"removed\": [\"me\"]}, \"passed\": true}, {\"check\": \"activity refreshes the timer\", \"actual\": {\"present\": [[\"c5\", \"b\"]], \"removed\": []}, \"expected\": {\"present\": [[\"c5\", \"b\"]], \"removed\": []}, \"passed\": true}, {\"check\": \"offline notice for an unknown client\", \"actual\": {\"present\": [[\"c6\", \"late\"]], \"removed\": [\"c7\"]}, \"expected\": {\"present\": [], \"removed\": [\"c7\"]}, \"passed\": false}, {\"check\": \"large clocks and short timeout\", \"actual\": {\"present\": [], \"removed\": [\"c8\"]}, \"expected\": {\"present\": [], \"removed\": [\"c8\"]}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":42.495,"exit_code":1,"observations":[{"actual":{"present":[["c1","typing"]],"removed":[]},"check":"newer update replaces","expected":{"present":[["c1","typing"]],"removed":[]},"passed":true},{"actual":{"present":[["c1","on"]],"removed":["c1"]},"check":"stale update after timeout is rejected","expected":{"present":[],"removed":["c1"]},"passed":false},{"actual":{"present":[],"removed":["c2"]},"check":"offline notice at the same clock removes","expected":{"present":[],"removed":["c2"]},"passed":true},{"actual":{"present":[["c2","changed"]],"removed":[]},"check":"same-clock state change is ignored","expected":{"present":[["c2","on"]],"removed":[]},"passed":false},{"actual":{"present":[["c4","y"]],"removed":["c3"]},"check":"timeout boundary","expected":{"present":[["c4","y"]],"removed":["c3"]},"passed":true},{"actual":{"present":[["me1","self"]],"removed":["me"]},"check":"own state never expires","expected":{"present":[["me1","self"]],"removed":["me"]},"passed":true},{"actual":{"present":[["c5","b"]],"removed":[]},"check":"activity refreshes the timer","expected":{"present":[["c5","b"]],"removed":[]},"passed":true},{"actual":{"present":[],"removed":["c7"]},"check":"offline notice for an unknown client","expected":{"present":[],"removed":["c7"]},"passed":true},{"actual":{"present":[],"removed":["c8"]},"check":"large clocks and short timeout","expected":{"present":[],"removed":["c8"]},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"newer update replaces\", \"actual\": {\"present\": [[\"c1\", \"typing\"]], \"removed\": []}, \"expected\": {\"present\": [[\"c1\", \"typing\"]], \"removed\": []}, \"passed\": true}, {\"check\": \"stale update after timeout is rejected\", \"actual\": {\"present\": [[\"c1\", \"on\"]], \"removed\": [\"c1\"]}, \"expected\": {\"present\": [], \"removed\": [\"c1\"]}, \"passed\": false}, {\"check\": \"offline notice at the same clock removes\", \"actual\": {\"present\": [], \"removed\": [\"c2\"]}, \"expected\": {\"present\": [], \"removed\": [\"c2\"]}, \"passed\": true}, {\"check\": \"same-clock state change is ignored\", \"actual\": {\"present\": [[\"c2\", \"changed\"]], \"removed\": []}, \"expected\": {\"present\": [[\"c2\", \"on\"]], \"removed\": []}, \"passed\": false}, {\"check\": \"timeout boundary\", \"actual\": {\"present\": [[\"c4\", \"y\"]], \"removed\": [\"c3\"]}, \"expected\": {\"present\": [[\"c4\", \"y\"]], \"removed\": [\"c3\"]}, \"passed\": true}, {\"check\": \"own state never expires\", \"actual\": {\"present\": [[\"me1\", \"self\"]], \"removed\": [\"me\"]}, \"expected\": {\"present\": [[\"me1\", \"self\"]], \"removed\": [\"me\"]}, \"passed\": true}, {\"check\": \"activity refreshes the timer\", \"actual\": {\"present\": [[\"c5\", \"b\"]], \"removed\": []}, \"expected\": {\"present\": [[\"c5\", \"b\"]], \"removed\": []}, \"passed\": true}, {\"check\": \"offline notice for an unknown client\", \"actual\": {\"present\": [], \"removed\": [\"c7\"]}, \"expected\": {\"present\": [], \"removed\": [\"c7\"]}, \"passed\": true}, {\"check\": \"large clocks and short timeout\", \"actual\": {\"present\": [], \"removed\": [\"c8\"]}, \"expected\": {\"present\": [], \"removed\": [\"c8\"]}, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":48.553,"exit_code":0,"observations":[{"actual":{"present":[["c1","typing"]],"removed":[]},"check":"newer update replaces","expected":{"present":[["c1","typing"]],"removed":[]},"passed":true},{"actual":{"present":[],"removed":["c1"]},"check":"stale update after timeout is rejected","expected":{"present":[],"removed":["c1"]},"passed":true},{"actual":{"present":[],"removed":["c2"]},"check":"offline notice at the same clock removes","expected":{"present":[],"removed":["c2"]},"passed":true},{"actual":{"present":[["c2","on"]],"removed":[]},"check":"same-clock state change is ignored","expected":{"present":[["c2","on"]],"removed":[]},"passed":true},{"actual":{"present":[["c4","y"]],"removed":["c3"]},"check":"timeout boundary","expected":{"present":[["c4","y"]],"removed":["c3"]},"passed":true},{"actual":{"present":[["me1","self"]],"removed":["me"]},"check":"own state never expires","expected":{"present":[["me1","self"]],"removed":["me"]},"passed":true},{"actual":{"present":[["c5","b"]],"removed":[]},"check":"activity refreshes the timer","expected":{"present":[["c5","b"]],"removed":[]},"passed":true},{"actual":{"present":[],"removed":["c7"]},"check":"offline notice for an unknown client","expected":{"present":[],"removed":["c7"]},"passed":true},{"actual":{"present":[],"removed":["c8"]},"check":"large clocks and short timeout","expected":{"present":[],"removed":["c8"]},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"newer update replaces\", \"actual\": {\"present\": [[\"c1\", \"typing\"]], \"removed\": []}, \"expected\": {\"present\": [[\"c1\", \"typing\"]], \"removed\": []}, \"passed\": true}, {\"check\": \"stale update after timeout is rejected\", \"actual\": {\"present\": [], \"removed\": [\"c1\"]}, \"expected\": {\"present\": [], \"removed\": [\"c1\"]}, \"passed\": true}, {\"check\": \"offline notice at the same clock removes\", \"actual\": {\"present\": [], \"removed\": [\"c2\"]}, \"expected\": {\"present\": [], \"removed\": [\"c2\"]}, \"passed\": true}, {\"check\": \"same-clock state change is ignored\", \"actual\": {\"present\": [[\"c2\", \"on\"]], \"removed\": []}, \"expected\": {\"present\": [[\"c2\", \"on\"]], \"removed\": []}, \"passed\": true}, {\"check\": \"timeout boundary\", \"actual\": {\"present\": [[\"c4\", \"y\"]], \"removed\": [\"c3\"]}, \"expected\": {\"present\": [[\"c4\", \"y\"]], \"removed\": [\"c3\"]}, \"passed\": true}, {\"check\": \"own state never expires\", \"actual\": {\"present\": [[\"me1\", \"self\"]], \"removed\": [\"me\"]}, \"expected\": {\"present\": [[\"me1\", \"self\"]], \"removed\": [\"me\"]}, \"passed\": true}, {\"check\": \"activity refreshes the timer\", \"actual\": {\"present\": [[\"c5\", \"b\"]], \"removed\": []}, \"expected\": {\"present\": [[\"c5\", \"b\"]], \"removed\": []}, \"passed\": true}, {\"check\": \"offline notice for an unknown client\", \"actual\": {\"present\": [], \"removed\": [\"c7\"]}, \"expected\": {\"present\": [], \"removed\": [\"c7\"]}, \"passed\": true}, {\"check\": \"large clocks and short timeout\", \"actual\": {\"present\": [], \"removed\": [\"c8\"]}, \"expected\": {\"present\": [], \"removed\": [\"c8\"]}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}