Add Property-Based Testing

Implement property-based testing framework with invariant analysis and test generation: $ARGUMENTS

Current Testing Context

• Language: !find . -name "*.js" -o -name "*.ts" | head -1 >/dev/null && echo "JavaScript/TypeScript" || find . -name "*.py" | head -1 >/dev/null && echo "Python" || echo "Multi-language"
• Test framework: !find . -name "jest.config.*" -o -name "pytest.ini" | head -1 || echo "Detect framework"
• Mathematical functions: Analysis of codebase for property-testable functions
• Business logic: Identification of invariants and properties in domain logic

Task

Implement comprehensive property-based testing with invariant analysis and automated test generation:

Language Focus: Use $ARGUMENTS to specify JavaScript, Python, Java, Haskell, Rust, Clojure, or auto-detect from codebase

Property-Based Testing Framework:

1. Framework Selection - Choose appropriate tool (fast-check, Hypothesis, QuickCheck, proptest), install dependencies, configure integration
2. Property Identification - Analyze mathematical properties, identify business invariants, discover symmetries, evaluate round-trip properties
3. Generator Design - Create custom data generators, implement constraint-based generation, design composite generators, optimize generation strategies
4. Property Implementation - Write property tests, implement preconditions, design postconditions, create invariant checks
5. Shrinking Configuration - Configure test case shrinking, optimize failure minimization, implement custom shrinkers, enhance debugging
6. Integration & Reporting - Integrate with existing test suite, configure reporting, setup CI integration, optimize execution performance

Advanced Features: Stateful property testing, model-based testing, custom generators, parallel property execution, performance property testing.

Quality Assurance: Property completeness analysis, edge case coverage, performance optimization, maintainability assessment.

Output: Complete property-based testing setup with identified properties, custom generators, integrated test suite, and performance optimization.