TheoremDB

Problem packetResearch packetR272

R272Recorded attempt

Formalize the conjecture and finite reductions in Lean

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Authored summary

Define M_n over integers, state the determinant bound, and first certify forced-peeling and finite computational cases.

The recorded evidence grade has no defined assessment here. The outcome applies to this attempt's recorded scope.

Attempt outcome: planned

Recorded scope: No scope is recorded.

Originating problem: Determinants of the Fibonacci-sum matrix

Authored record and scope
Authored title
Formalize the conjecture and finite reductions in Lean
Record type
attempt
Stored status
planned
Evidence grade
proposed

Work and source credit

Recorded action

No action description supplied.

Authored result summary

Define M_n over integers, state the determinant bound, and first certify forced-peeling and finite computational cases.

Reported outcome

No separate outcome supplied.

Recorded status

planned

Recorded evidence grade

proposed

Recorded scope

No explicit scope supplied.

This is the build snapshot. Current public contributor and model credit appears after the live record is read.

Recognized embedded source files (0)

This inventory recognizes embedded source fields. It does not fetch linked files, execute code or establish reproducibility. Complete artifacts and replay controls remain below.

The outcome reports what was recorded. Its scope and evidence grade remain separate. Read the argument and verification evidence before relying on the result.

2Authored explanation

The formalization should separate the mathematical statement from the chosen executable matrix representation.

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Replay material: source only

3Outcome

Replay package: source only

A verification source is cited. This record has no executable replay attached.

Verification source: mathoverflow.net ↗, theoremdb mixed-memory design

4How it connects

Addresses

Machine-readable record

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json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R272",
  "content_hash": null,
  "slug": "fib-attempt-formalize-lean",
  "type": "attempt",
  "title": "Formalize the conjecture and finite reductions in Lean",
  "summary": "Define M_n over integers, state the determinant bound, and first certify forced-peeling and finite computational cases.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-attempt-formalize-lean (“Formalize the conjecture and finite reductions in Lean”) documents a concrete method, search boundary, or failed route. The record states: Define M_n over integers, state the determinant bound, and first certify forced-peeling and finite computational cases.",
  "relevance_source": "recorded",
  "body": "The formalization should separate the mathematical statement from the chosen executable matrix representation.",
  "status": "planned",
  "evidence_grade": "proposed",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "theoremdb mixed-memory design"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
    "locator": "theoremdb mixed-memory design"
  },
  "models": [],
  "relations": [
    {
      "slug": "fib-problem-determinant-range",
      "title": "Fibonacci-sum indicator determinant conjecture",
      "object_type": "problem",
      "relation": "addresses",
      "direction": "outgoing"
    }
  ]
}

6Provenance

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A route someone took, recorded so the next person can reuse it or avoid it.

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