Audit a bounded mathematical slice for missing or unusable Jacobian capabilities, beyond a single-operation review.
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Design, audit, or repair mathematical benchmark verifiers, submission contracts, and scoring.
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A verifier decides a benchmark's mathematical predicate from frozen input and
a bounded submission. It does not grade prose, confidence, tool use, or equality
with one preferred solution. Use harbor-benchmarks only when the task also
needs Harbor packaging, environment changes, or execution guidance.
Choose the smallest checkable submission: a typed result, a result with a necessary finite witness, or a supported formal proof. Accept mathematically equivalent representations unless canonicalization is an explicit task outcome. The visible instruction and schema must describe every enforced condition and must not leak the solution or derived conclusions.
For a new or changed submission shape, read submission contracts, including witness selection, schema reductions, and independent result fields. Keep instruction, schema, verifier, gold, public contract, and host tests consistent when changing that shape.
Bound input before parsing; enforce exact types and shapes before computation. Replay mathematics against the frozen verifier copy. Malformed submissions must produce a deterministic false predicate and reward artifact, not a host exception. Input binding, mathematical correctness, and declared witness validity remain separate diagnostics where independently observable; required gates combine in reward. Default reward is binary. Partial credit requires explicitly declared, independent mathematical subclaims.
For implementation, diagnostic binding exceptions, artifact/path handling, or regression tests, read replay and attacks. Preserve alternate valid witnesses and a discriminating wrong mathematical claim alongside malformed-input cases. Natural-language proofs need human review unless formalization or an executable certificate makes them checkable.
Run focused behavioral attacks, the selected Oracle, and the repository's planned Harbor gate when the verifier or task contract changes. Refresh selected Dockerfile checksums after verifier edits through the task preparation workflow. Shared support changes require the affected task-local copies and Oracles; historical snapshots remain unchanged.
Report the actual command, task digest, Oracle result, and deferred validation. A verifier test, Oracle pass, repository gate, and causal benchmark comparison establish different evidence.
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Audit a bounded mathematical slice for missing or unusable Jacobian capabilities, beyond a single-operation review.
The English summary is being prepared. Showing the original description.
Diagnose malformed calls, retries, and unusable results after an agent selects an MCP tool.
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Design or audit a Jacobian operation’s mathematical contract, boundedness, exact results, and composition.
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Extract reusable Jacobian capabilities from a mathematical solution corpus, rather than one agent trajectory.
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Investigate MCP tool availability, discovery, and selection, including controlled adoption evaluations.
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Author, package, validate, or run mathematical evaluations as Jacobian Harbor datasets.
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