| { | |
| "dataset_name": "quantum-lean-hard-vvuq-dataset", | |
| "version": "1.0.0", | |
| "description": "Hard Lean verification and repair dataset focusing on type theory, tactic sequences, and proof strategies", | |
| "purpose": "Demonstrate Physics World Model (PWM) effectiveness in NeurIPS experiments", | |
| "difficulty_levels": { | |
| "easy": "Basic tactic completion", | |
| "hard": "Complex reasoning required", | |
| "expert": "Advanced type theory and proof strategies" | |
| }, | |
| "categories": { | |
| "type_theory": "Type coercion, dependent types, universe levels", | |
| "tactic_sequence": "Incorrect tactic choices and ordering", | |
| "proof_strategy": "Wrong high-level proof approaches", | |
| "advanced_type_theory": "Higher-order reasoning patterns", | |
| "baseline": "Simple problems for comparison" | |
| }, | |
| "pwm_levels": { | |
| "W1": "Basic Lean syntax and simple tactics", | |
| "W2": "Intermediate proof patterns and mathematical reasoning", | |
| "W3": "Advanced type theory and complex proof strategies" | |
| }, | |
| "requirements": { | |
| "RequirementLEAN": "All problems must be verified with actual Lean compilation", | |
| "RequirementPWM": "Complete problem sets provided in prompts" | |
| }, | |
| "expected_behavior": { | |
| "Method_A": "Should fail on hard/expert problems", | |
| "Method_E": "Should succeed with W3 knowledge", | |
| "Differentiation": "Clear performance gradient across methods A-E" | |
| } | |
| } |