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counterexample-generator

Testing & Quality
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Automated search for counterexamples to mathematical conjectures

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How to use this skill

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Source SKILL.md: https://github.com/a5c-ai/babysitter/blob/HEAD/library/specializations/domains/science/mathematics/skills/counterexample-generator/SKILL.md

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Counterexample Generator

Purpose

Provides automated search capabilities for finding counterexamples to mathematical conjectures and validating proof attempts.

Capabilities

  • Random testing with intelligent sampling
  • SMT-based counterexample search
  • Quickcheck-style property testing
  • Boundary case enumeration
  • Finite model finding (Nitpick, Quickcheck)

Usage Guidelines

  1. Property Specification: Define testable properties formally
  2. Sampling Strategy: Choose appropriate random distributions
  3. Constraint Solving: Use SMT for structured search
  4. Boundary Testing: Exhaustively check small cases

Tools/Libraries

  • Z3
  • CVC5
  • Quickcheck
  • Nitpick