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amkiskoamkisko/prayers/.agents/skills/derivation-audit/SKILL.md

derivation-audit

Skill2 starsChanged 8 days agoMITView on GitHub

Audit formal claims, registered checks, and symbolic derivation scope. Use when asked to review a computer-algebra derivation, a paper proposition, or a solver-backed proof. Do not use for ordinary prose claims, a whole-tree engineering audit, or a contest paper workflow.

The file

We split this skill into the rules it gives an agent

3 rules. About 0 are common, 2 are distinctive, and 1 is very specific to this project.

  • ≈0

    Common · estimate

    Many files like this have a rule of this kind.

  • ≈2

    Distinctive · estimate

    This author's own choices. Worth a look.

  • 1

    Very specific

    Tied to their project's names, files or tools. Probably skip.

  • Common
  • Distinctive
  • Very specific
  1. Distinctive:

    Keep the statement, the domain, and the quantifiers.

    line 24
  2. Very specific:

    Write durable findings under docs/issues per docs-conventions.

    line 50
  3. Distinctive:

    When a named skill is unavailable, preserve the finding and name the deeper review.

    line 58

≈ “Common” is an estimate: at least 1 in 5 of the 350,495 skill files we read have a rule of the same kind, not the same words. “Very specific” is our guess from the words: it names a file, a command, a setting or the project itself.

Keep what fits and drop the rest. Your version, ready for your agents.
Files
SKILL.md

Derivation audit

Review a formal claim and the checks that claim to support it. This skill does not replace claims-audit. It owns identity, implication, registered rows, and solver scope when a consumer asks for that job by name.

The consumer owns the executable and the style exemplar. Stay on concepts. Do not name a computer algebra system.

Quick reference

keep statement domain quantifiers -> classify the claim -> inspect registered checks -> treat solver output -> record unresolved

Claim classes

Keep the statement, the domain, and the quantifiers. Distinguish:

  • identity;
  • equivalent solution sets;
  • one-way implication.

A numeric example does not replace a quantified claim. Solver or test order is not uniqueness. When a condition is rewritten, show both sides and the domain of the rewrite.

Registered checks

A Boolean check table certifies only its registered rows. A nonempty table is not a proof of the surrounding proposition. Completeness, consistency, and quality are different questions.

A green gate certifies the assertions it ran, not the surrounding product claim. Missing runtime is not a successful static pass.

Solver output

Timeout, unevaluated output, and a failed solver check stay unresolved until a counterexample or a closed proof exists. Do not treat an unresolved result as a refutation.

A cited standard or theorem used as support needs a recorded statement with its hypotheses, not a name-drop.

Freeze

Quantities that come from the derivation stay unverifiable until they are frozen from the producing artifact. Do not hand-edit the freeze. A later file does not prove an earlier gate.

Record

Write durable findings under docs/issues per docs-conventions. Outcomes follow claims-audit: supported, partially supported, unsupported, outdated, contested, unverifiable. Add unresolved when the solver did not close the claim.

Routing

  • claims-audit for documentary facts, quotations, and freeze of prose quantities.
  • engineering-audit when the surrounding product claim is a green test gate.
  • rfc-process when an RFC states a theorem; reuse these statuses only when that RFC asks.

When a named skill is unavailable, preserve the finding and name the deeper review.

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