CPRR (Conjecture-Proof-Refutation-Refinement) is a research methodology that treats hypotheses as first-class artifacts with explicit lifecycle management, evidence tracking, and refutation gates.

1. Conjecture: "Algorithm X has O(n log n) complexity"
2. Evidence: Benchmark data, theoretical analysis
3. Refutation attempt: Edge case with O(n²) behavior
4. Refinement: "Algorithm X has O(n log n) for sorted input"
5. New conjecture: Refined hypothesis
6. Proof: Formal verification or exhaustive testing

• Research hypothesis management
• Experimental software development
• Formal methods integration
• Multi-agent coordination
• Knowledge base maintenance

• Lakatos, "Proofs and Refutations" (1976)
• Popper, "The Logic of Scientific Discovery" (1959)