# GAP: Generalization-and-Perturbation Framework

Code for the GAP framework, which decomposes equivalence-preserving transformations of mathematical problems into **surface** (deterministic renaming) and **kernel** (parameter resampling with multi-judge verification) families.

## Contents

- `putnam-bench-anon/` — evaluation harness: multi-provider async solver/grader with checkpoint, cross-provider grading, CLI
- `mini_gap_math*.py` — MATH Level 4-5 generalization experiments
- `kv_math*.py` — kernel-variant generation and evaluation on MATH
- `analysis/` — structural-overlap analysis, rescue experiment runner, figure generation

## Quick start

```bash
pip install -r putnam-bench-anon/requirements.txt
python putnam-bench-anon/putnam_cli.py --help
```

## License

CC-BY-4.0. See `LICENSE`.