{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1115",
  "content_hash": null,
  "slug": "o-minimal-super-iterated-exponential-attempt-resolution-route",
  "type": "attempt",
  "title": "Resolve the stated acceptance condition",
  "summary": "Construct an explicit o-minimal expansion \\(\\mathcal R\\) and one definable function \\(f\\), then prove the displayed eventual domination for every positive integer \\(m\\).",
  "relevance": "For An o-minimal function faster than every finite exponential iterate, record o-minimal-super-iterated-exponential-attempt-resolution-route (“Resolve the stated acceptance condition”) documents a concrete method, search boundary, or failed route. The record states: Construct an explicit o-minimal expansion \\(\\mathcal R\\) and one definable function \\(f\\), then prove the displayed eventual domination for every positive integer \\(m\\).",
  "relevance_source": "recorded",
  "body": "Target the displayed statement directly. Construct an explicit o-minimal expansion \\(\\mathcal R\\) and one definable function \\(f\\), then prove the displayed eventual domination for every positive integer \\(m\\). Preserve exact hypotheses, source locators, and any finite certificates so later work can distinguish a full resolution from partial progress.",
  "status": "open_strategy",
  "evidence_grade": "self_reported",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://mathoverflow.net/questions/121010/is-there-any-o-minimal-expansion-of-the-real-field-with-functions-of-growth-high",
      "locator": "Editorial research route recorded 2026-07-31"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://mathoverflow.net/questions/121010/is-there-any-o-minimal-expansion-of-the-real-field-with-functions-of-growth-high",
    "locator": "Editorial research route recorded 2026-07-31"
  },
  "models": [],
  "relations": [
    {
      "slug": "R1116",
      "title": "Current status and unresolved remainder",
      "object_type": "claim",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "o-minimal-super-iterated-exponential",
      "title": "o minimal super iterated exponential",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}