Approximation Ratio Calculator

SkillDev tools

Analyze and prove approximation ratios for optimization algorithms

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 Approximation Ratio Calculator 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/approximation-ratio-calculator/SKILL.md and read by ahel’s review.

Purpose

Provides expert guidance on analyzing approximation algorithms and proving approximation guarantees.

Capabilities

  • LP relaxation analysis
  • Integrality gap computation
  • Randomized rounding analysis
  • Approximation factor derivation
  • PTAS/FPTAS feasibility assessment
  • Inapproximability results analysis

Usage Guidelines

  1. Problem Setup: Formalize the optimization problem
  2. LP Relaxation: Construct and analyze LP relaxation
  3. Rounding Design: Design rounding scheme
  4. Ratio Proof: Prove approximation ratio
  5. Gap Analysis: Analyze integrality gap

Tools/Libraries

  • LP/ILP solvers
  • Symbolic computation
  • Proof assistants

Signals

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