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benchmarks: construct an order-12 Hadamard certificate - #593

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morluto merged 4 commits into
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agent/conjecture-hadamard-order12
Aug 7, 2026
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benchmarks: construct an order-12 Hadamard certificate#593
morluto merged 4 commits into
mainfrom
agent/conjecture-hadamard-order12

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@yuelgrace1810-ops

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Summary

  • add a Regression-family Harbor conjecture probe derived from retained spreadsheet row C-007
  • require a complete normalized order-12 Hadamard matrix, complete Gram matrix, and exact signed determinant
  • independently replay normalization, all 144 orthogonality entries, and the determinant using integer Bareiss elimination
  • accept equivalent normalized constructions and reject corrupted matrices, wrong determinants, input tampering, and unsupported VERIFIED claims

Benchmark contract

  • Family: Regression
  • Primary objective: exact combinatorial matrix construction
  • Quality score: 87/100
  • Difficulty: Hard (provisional); a non-Sylvester construction and exact determinant certificate must be coordinated, with empirical calibration pending
  • Source: retained Unresolved Conjecture row C-007; finite construction authored from the standard Hadamard definition and Paley-construction literature
  • Assurance boundary: CHECKED only for the submitted order-12 matrix; no general Hadamard-conjecture conclusion

Shortcut and duplication audit

Knowing that order 12 exists or naming Paley is insufficient. The full matrix, full Gram matrix, normalization, and determinant are independently checked. The verifier accepts row/column-equivalent normalized matrices. This does not duplicate the bounded Vizing graph workflow or the perfect-cuboid semantic-scope audit.

Validation

  • focused and adversarial tests: 5 passed
  • selected Harbor preparation and contract checks
  • Ruff lint/format and git diff --check
  • Docker Client/Server 29.6.2
  • task and verifier images built and executed under --network none
  • direct-container Oracle: full applicable reward 1.0

Native Harbor 0.20 on macOS remains blocked by its Docker no-network capability detection before task execution. Network policy was not weakened and no Docker socket was mounted. This draft awaits the GitHub Linux exact-task Oracle before completion.

morluto commented Aug 7, 2026

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morluto marked this pull request as ready for review August 7, 2026 09:05

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morluto force-pushed the agent/conjecture-hadamard-order12 branch from 6979ddd to 29a5385 Compare August 7, 2026 10:03

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Grace Lee Rui Yue and others added 4 commits August 7, 2026 11:37
- Change evidence media type from text/plain to application/json with
  payload_shape in instruction.md and public_contract.json
- Decouple mathematics, evidence, scope, and assurance from contract;
  use require_input_binding=False and independent computation
- Emit canonical reward dimensions (correctness, evidence_validity,
  scope_accuracy, assurance_calibration) in both main path and
  exception handler
- Bound evidence memory to 2 MiB via max_bytes in
  evidence_list_is_bound and read_evidence_json
- Accept all scoreable assurances (UNVERIFIED, COMPUTED, CHECKED)
- Drop whitespace-churn commits during rebase onto origin/main
… lint

Co-authored-by: morluto <morluto@users.noreply.github.com>
@cursor
cursor Bot force-pushed the agent/conjecture-hadamard-order12 branch from 488345c to 18edbc3 Compare August 7, 2026 11:37
@morluto
morluto merged commit 88bc164 into main Aug 7, 2026
34 checks passed
@morluto
morluto deleted the agent/conjecture-hadamard-order12 branch August 7, 2026 11:41
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3 participants