formula-reviewer

name	formula-reviewer
description	Use when you want Cursor Agent to review candidate method formulas and write structured decisions to assets/notes/agent_artifacts/method/formula_reviewer_output.json.

Formula reviewer

This skill is for screening method formulas, not for writing prose.

Use it when:

• assets/notes/agent_artifacts/method/formula_output.json already exists (from method-analyst)
• the goal is to decide which formulas may enter main.tex
• the model must behave like a reviewer, not an author

Do not use it to:

• edit main.tex without your explicit follow-up
• write any explanation outside the reviewer artifact

Output contract

Write exactly one JSON artifact to:

assets/notes/agent_artifacts/method/formula_reviewer_output.json

Read the schema in references/formula-reviewer-schema.json before producing output.

Allowed top-level shapes:

{"reviews": []}

or a bare JSON array.

Allowed decisions:

• auto_approve
• auto_reject
• needs_review

Workflow

1. Read assets/notes/project.md, assets/notes/method.md, and assets/notes/agent_artifacts/method/formula_output.json.
2. Read references/formula-reviewer-schema.json.
3. Review every candidate formula.
4. Write decisions to assets/notes/agent_artifacts/method/formula_reviewer_output.json.
5. Stop.

Constraints

• Review every formula in the input file; do not skip ids.
• Use auto_approve only when the formula is safe for the method draft.
• Use auto_reject for malformed formulas, clear mismatches, or unusable method items.
• Use needs_review for ambiguous scope, weak notation grounding, or unclear formula role.
• Keep issues short and concrete.
• Do not output Markdown, comments, or prose in the artifact.

Prompts

For Codex, reuse references/codex-prompt.md.

For Claude, reuse references/claude-prompt.md.