{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1730",
  "content_hash": null,
  "slug": "real-exponential-field-decidability-attempt-dated-source-audit",
  "type": "attempt",
  "title": "Dated source and duplicate audit",
  "summary": "The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: R_exp is o-minimal, and a Schanuel-type conjecture yields decidability. Unresolved remainder: An unconditional decision procedure or undecidability proof remains unknown.",
  "relevance": "Documents why Decidability of the real exponential field was treated as a distinct open target on 2026-08-01.",
  "relevance_source": "recorded",
  "body": "The audit ran on 2026-08-01 across the cited primary literature and problem collections, Crossref, arXiv, and stable publisher records, TheoremDB published, prospecting, packet, formal, and retired corpus. It checked the exact statement, its named or normalized variants, recent status evidence, and the controlled TheoremDB corpus.\n\nQueries included:\n- decidability real exponential field open 2026\n- Tarski exponential function problem current status Schanuel\n\nThe exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: R_exp is o-minimal, and a Schanuel-type conjecture yields decidability. Unresolved remainder: An unconditional decision procedure or undecidability proof remains unknown.",
  "status": "completed",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "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": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "real-exponential-field-decidability",
      "title": "real exponential field decidability",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}