{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1732",
  "content_hash": null,
  "slug": "real-exponential-field-decidability-claim-literature-frontier",
  "type": "claim",
  "title": "Strongest checked neighboring result",
  "summary": "R_exp is o-minimal, and a Schanuel-type conjecture yields decidability.",
  "relevance": "Locates the present research frontier immediately below Decidability of the real exponential field.",
  "relevance_source": "recorded",
  "body": "R_exp is o-minimal, and a Schanuel-type conjecture yields decidability.\n\nThis leaves the following boundary unresolved: An unconditional decision procedure or undecidability proof remains unknown. The distinction is retained here so a restricted theorem, finite computation, or neighboring case is not presented as a solution of the full target.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://ris.uni-paderborn.de/record/18304",
      "locator": "A. Macintyre and A. Wilkie, On the decidability of the real exponential field, Kreiseliana (1996). bibliographic record for pages 441-467"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://ris.uni-paderborn.de/record/18304",
    "locator": "A. Macintyre and A. Wilkie, On the decidability of the real exponential field, Kreiseliana (1996). bibliographic record for pages 441-467"
  },
  "relations": [
    {
      "slug": "R1733",
      "title": "Current status and exact unresolved remainder",
      "object_type": "claim",
      "relation": "informs",
      "direction": "outgoing"
    },
    {
      "slug": "real-exponential-field-decidability",
      "title": "real exponential field decidability",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}