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symbol-table-builder

Build and maintain one global mathematical symbol and unit table from the problem frame and active method cards, resolving cross-subquestion conflicts before code or paper work.

Star
1,057
Category
Science
License
MIT
Last commit
Sep 24, 2026

plugins/mathmodeling-skills/skills/symbol-table-builder/SKILL.md

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Purpose

Ensure the same concept uses one symbol and different concepts do not collide.

Inputs

  • problem parse and relationships;
  • active methods/Qx/qx_method_card.md;
  • approved code plans when available;
  • question dependency map;
  • existing planning/symbol_table.md.

Read legacy candidate pools only when method cards are absent.

Workflow

  1. Extract inputs, outputs, parameters, decisions, states, indices, sets, functions, and intermediate quantities.
  2. Preserve user-established notation unless it conflicts or is ambiguous.
  3. Resolve:
    • same meaning with different symbols;
    • different meanings with the same symbol;
    • unit/domain conflicts;
    • Qx output-to-input handoff conflicts.
  4. Classify each symbol by role and scope.
  5. Save or update planning/symbol_table.md.
  6. If a canonical symbol changes, classify it CANONICAL and run scoped consistency for affected Qx.

Table Fields

  • symbol;
  • plain name;
  • definition;
  • type: input, output, parameter, estimated parameter, decision, state, intermediate, index, set, function;
  • domain/range;
  • unit;
  • scope/Qx;
  • source artifact;
  • notes or conflict resolution.

Rules

  • Define every symbol before first use.
  • Record units and domains when applicable.
  • Use one notation for cross-question handoffs.
  • Do not invent variables to make a table look complete.
  • Do not maintain a separate verbose conflict log; record material resolutions in the table notes.

Verification

  • Active method-card and code-plan variables are covered.
  • No unresolved symbol or unit collision remains.
  • Shared quantities agree across Qx.
  • Downstream artifacts can cite one canonical table.

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