Agent Skills: Amortized Analysis Assistant

Apply amortized analysis techniques including aggregate, accounting, and potential methods

algorithm-analysisID: a5c-ai/babysitter/amortized-analysis-assistant

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plugins/babysitter/skills/babysit/process/specializations/domains/science/computer-science/skills/amortized-analysis-assistant/SKILL.md

Skill Metadata

Name
amortized-analysis-assistant
Description
Apply amortized analysis techniques including aggregate, accounting, and potential methods

Amortized Analysis Assistant

Purpose

Provides expert guidance on amortized analysis of data structures and algorithms using multiple analysis techniques.

Capabilities

  • Aggregate method calculations
  • Accounting method with credit tracking
  • Potential function design and verification
  • Banker's method for persistent data structures
  • Generate amortized bounds documentation
  • Handle complex operation sequences

Usage Guidelines

  1. Method Selection: Choose appropriate amortized analysis method
  2. Potential Design: Design potential function for potential method
  3. Credit Tracking: Track credits for accounting method
  4. Bound Derivation: Derive amortized cost bounds
  5. Documentation: Generate clear analysis documentation

Tools/Libraries

  • Symbolic computation
  • LaTeX documentation
  • Proof assistants