Approximation Ratio Calculator

SkillDev tools

Analyze and prove approximation ratios for optimization algorithms

Use Approximation Ratio Calculator in Claude, ChatGPT or Ahel Desktop

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Details

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

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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
113
Last commit
Sep 2026
Advanced
Item type
skill
Key
approximation-ratio-calculator
Source
github.com/a5c-ai/babysitter