  We explore the concept of co-design in the context of neural network
verification. Specifically, we aim to train deep neural networks that not only
are robust to adversarial perturbations but also whose robustness can be
verified more easily. To this end, we identify two properties of network models
- weight sparsity and so-called ReLU stability - that turn out to significantly
impact the complexity of the corresponding verification task. We demonstrate
that improving weight sparsity alone already enables us to turn computationally
intractable verification problems into tractable ones. Then, improving ReLU
stability leads to an additional 4-13x speedup in verification times. An
important feature of our methodology is its "universality," in the sense that
it can be used with a broad range of training procedures and verification
approaches.
