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claude-codescience

Babysitter approximation-ratio-calculator

Analyze and prove approximation ratios for optimization algorithms

install
source · Clone the upstream repo
git clone https://github.com/a5c-ai/babysitter
Claude Code · Install into ~/.claude/skills/
T=$(mktemp -d) && git clone --depth=1 https://github.com/a5c-ai/babysitter "$T" && mkdir -p ~/.claude/skills && cp -r "$T/library/specializations/domains/science/computer-science/skills/approximation-ratio-calculator" ~/.claude/skills/a5c-ai-babysitter-approximation-ratio-calculator && rm -rf "$T"
manifest: library/specializations/domains/science/computer-science/skills/approximation-ratio-calculator/SKILL.md
tags
#algorithm-analysis#approximation-theory#complexity-theory#optimization#math-proofs
source content

Approximation Ratio Calculator

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