Floating-point interval approximation proofs #
This entrypoint collects the IEEE32Exec interval-semantics development used by the floating-point
universal-approximation development. The files underneath separate the work into:
- interval-domain semantics for executable binary32 networks;
- exact interval-image statements for rounded targets; and
- the constant-target base theorem.
The design keeps the trusted/executable float representation visible while proving the interval
claims in Lean over the concrete IEEE32Exec semantics.
Reference:
- Hwang, Lee, Park, Park, and Saad, "Floating-Point Neural Networks Are Provably Robust Universal Approximators", arXiv:2506.16065.