Recurrence Solver

SkillDev tools

Solve recurrence relations using multiple methods including Master Theorem and generating functions

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 Recurrence Solver 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/recurrence-solver/SKILL.md and read by ahel’s review.

Purpose

Provides expert guidance on solving recurrence relations arising from divide-and-conquer and recursive algorithm analysis.

Capabilities

  • Apply Master Theorem (all three cases)
  • Substitution method with guess verification
  • Recursion tree analysis with visualization
  • Generating functions for complex recurrences
  • Akra-Bazzi method for generalized recurrences
  • Handle non-standard recurrence forms

Usage Guidelines

  1. Recognition: Identify recurrence structure and applicable methods
  2. Master Theorem: Check and apply Master Theorem cases
  3. Substitution: Formulate and verify guess for complex cases
  4. Tree Analysis: Build recursion tree for intuition
  5. Verification: Validate solutions with base cases

Tools/Libraries

  • SymPy
  • Visualization libraries
  • Symbolic algebra systems

Signals

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