Property-Based Testing

  1. Fundamental Concepts
    1. Properties
      1. Definition and Characteristics
        1. Mathematical Properties
          1. Behavioral Invariants
            1. Logical Assertions
            2. Types of Properties
              1. Universal Properties
                1. Existential Properties
                  1. Conditional Properties
                    1. Relational Properties
                    2. Property Structure
                      1. Preconditions
                        1. Postconditions
                          1. Invariants
                            1. Guard Conditions
                            2. Property Quality
                              1. Completeness
                                1. Correctness
                                  1. Non-triviality
                                    1. Testability
                                  2. Data Generators
                                    1. Purpose and Role
                                      1. Input Space Exploration
                                        1. Random Data Creation
                                          1. Bias Avoidance
                                          2. Generator Types
                                            1. Primitive Generators
                                              1. Composite Generators
                                                1. Custom Generators
                                                  1. Conditional Generators
                                                  2. Generation Strategies
                                                    1. Uniform Distribution
                                                      1. Weighted Distribution
                                                        1. Constrained Generation
                                                          1. Dependent Generation
                                                          2. Generator Composition
                                                            1. Combining Simple Generators
                                                              1. Building Complex Structures
                                                                1. Recursive Generation
                                                              2. Test Execution
                                                                1. Test Runner Architecture
                                                                  1. Execution Loop
                                                                    1. Random Seed Management
                                                                      1. Iteration Control
                                                                      2. Test Configuration
                                                                        1. Number of Test Cases
                                                                          1. Timeout Settings
                                                                            1. Parallelization Options
                                                                              1. Reproducibility Controls
                                                                              2. Result Reporting
                                                                                1. Success Indicators
                                                                                  1. Failure Documentation
                                                                                    1. Statistical Summaries
                                                                                      1. Diagnostic Information
                                                                                    2. Shrinking
                                                                                      1. Purpose and Benefits
                                                                                        1. Counterexample Simplification
                                                                                          1. Debugging Assistance
                                                                                            1. Failure Communication
                                                                                            2. Shrinking Process
                                                                                              1. Iterative Reduction
                                                                                                1. Minimality Criteria
                                                                                                  1. Shrinking Strategies
                                                                                                  2. Implementation Approaches
                                                                                                    1. Integrated Shrinking
                                                                                                      1. Separate Shrinking Phase
                                                                                                        1. Custom Shrinking Logic
                                                                                                        2. Shrinking Quality
                                                                                                          1. Minimality Achievement
                                                                                                            1. Shrinking Speed
                                                                                                              1. Effectiveness Measurement

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                                                                                                          1. Introduction to Property-Based Testing

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                                                                                                          3. Property-Based Testing Workflow