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C772 — Define the finite source configuration

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Study sequence: Cainan, Terah and Sojourn variants (C772–C791) · Regular & Cumulative

C772 — Define the finite source configuration

Question

What is the smallest regular birth-state formula consistent with the declared variant domains?

Inputs

{
  "s": "0/1 minimum/full430",
  "t": "0/1 baseline/+60 Terah",
  "c": "0/1 Cainan OFF/ON"
}

Sources

[
  "File18 §§1.3–1.6; model/variant_inputs.json"
]

Opened utc

2026-09-28T01:59:36.002851+00:00

Results

{
  "rule": {
    "path": "model/variant_rule.json",
    "sha256": "58ac54c59156d94eeedd4313111bbd2ec5edcb91af5eab442f2e2251878fb5b5",
    "bytes": 516
  },
  "masks": {
    "Adam–Arphaxad": [
      1,
      1,
      1
    ],
    "Shelah–Terah": [
      1,
      1,
      0
    ],
    "Abraham–Joseph/Levi": [
      1,
      0,
      0
    ],
    "Aaron/Moses terminal": [
      0,
      0,
      0
    ]
  }
}

Finding

Three finite choices have nested supports. The rule predicts placements within each source domain while preserving native LXX Cainan and unassigned regular births.

Reassessment

Recover the four literal Terah states before extending the rule.

Checks

{
  "nested": true
}

Closed utc

2026-09-28T01:59:36.003316+00:00

Record provenance

Exact record hash: 3af63638f3027a8078f580010e6f0b62199336c09a6fbfdbcba020353820bc16

Source journal: Research_Cycles/C0732_C0831/journal.json

Linked sources and evidence

Edition and provenance

C772.md

SHA-256 828bfdf8143a7077b7dd2453f6cc2779a8df0cb53e61799c47cf95fa97c6e0fe

C480–C1634/Research_Cycles/C0732_C0831/journal.json#C772