Alignerr
ProjectFrontier LLM Capability Boundary Probing via Graduate-Level Physics & Risk-Engineering Benchmarks
- Built physics problems centered on long-form derivations, invariant-based reasoning, and tight constraint management to prevent shortcut solutions
- Recombined rigorous physics foundations into mechanics-heavy prompts that demand both physical intuition and careful mathematical derivations
- Converted risk-engineering research themes into quantitative prompts that require explicit assumptions, nontrivial modeling choices, and end-to-end reasoning
- Raised difficulty by layering advanced techniques and edge conditions, pushing problems beyond standard textbook patterns
- Representative example: designed a right-triangle kinematics puzzle with path-invariant vertical time, reducing optimization to horizontal scheduling; proved the fastest path, showed the slowest path has no maximizer but a supremum, and derived harmonic-number asymptotics for a staircase construction approaching the bound
- Reused the same layered-difficulty design playbook across multiple topics and scenarios, balancing high-compute reasoning with creativity