Reduction Builder

SkillDev tools

Construct and verify polynomial-time reductions between computational problems

Instructions available. Your AI can read the instructions. Execution depends on the setup they require.

Add ahel to your AI once: Claude, ChatGPT, Cursor, Claude Code or Codex. Then ask it to use this.

Then ask your AI: use the Reduction Builder skill

What this skill tells your AI

The instructions your AI receives, as published by a5c-ai/babysitter in library/specializations/domains/science/computer-science/skills/reduction-builder/SKILL.md and read by ahel’s review.

Purpose

Provides expert guidance on constructing polynomial-time reductions for NP-completeness proofs and problem classification.

Capabilities

  • Gadget library for common reductions (3-SAT, Vertex Cover, etc.)
  • Reduction verification (correctness in both directions)
  • Polynomial-time verification
  • Visualization of gadget constructions
  • Generate reduction documentation
  • Chain multiple reductions

Usage Guidelines

  1. Problem Analysis: Understand source and target problem structures
  2. Gadget Selection: Choose or design appropriate gadgets
  3. Reduction Construction: Build the polynomial-time mapping
  4. Correctness Proof: Prove both directions of the reduction
  5. Time Analysis: Verify polynomial running time

Tools/Libraries

  • Graph visualization
  • LaTeX documentation
  • Formal verification tools

Signals

GitHub stars
2k
Forks
112
Last commit
Sep 2026
Advanced
Item type
skill
Key
reduction-builder
Source
github.com/a5c-ai/babysitter