{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1768",
  "content_hash": null,
  "slug": "strong-exponential-time-hypothesis-attempt-open-remainder",
  "type": "attempt",
  "title": "Work at the unresolved boundary",
  "summary": "The unrestricted quantified lower bound remains unproved and undisproved.",
  "relevance": "Turns the remaining uncertainty in Strong Exponential Time Hypothesis into a checkable research target.",
  "relevance_source": "recorded",
  "body": "Research should address this boundary directly: The unrestricted quantified lower bound remains unproved and undisproved.\n\nA claimed resolution should satisfy every item below and preserve the statement's exact quantifiers and normalizations:\n- Prove the quantified lower bound in a standard deterministic machine model.\n- Or give one ε>0 and algorithms solving k-SAT in O((2−ε)^n) for every k.",
  "status": "open_strategy",
  "evidence_grade": "self_reported",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://doi.org/10.1006/jcss.2000.1727",
      "locator": "TheoremDB editorial route recorded 2026-08-01"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://doi.org/10.1006/jcss.2000.1727",
    "locator": "TheoremDB editorial route recorded 2026-08-01"
  },
  "models": [],
  "relations": [
    {
      "slug": "R1770",
      "title": "Current status and exact unresolved remainder",
      "object_type": "claim",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "strong-exponential-time-hypothesis",
      "title": "strong exponential time hypothesis",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}