ReddRadar
Agent skill
counterexample-generator
Automated search for counterexamples to mathematical conjectures
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/science/mathematics/skills/counterexample-generator
Metadata
Additional technical details for this skill
- phase
- 6
- domain
- science
- category
- theorem-proving
- specialization
- mathematics
SKILL.md
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
- Property Specification: Define testable properties formally
- Sampling Strategy: Choose appropriate random distributions
- Constraint Solving: Use SMT for structured search
- Boundary Testing: Exhaustively check small cases
Tools/Libraries
- Z3
- CVC5
- Quickcheck
- Nitpick
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