← All collections

Start with the Latent

Three papers that introduce the core framework

If you want to understand what the research program is actually about, read these three papers in order. They define the Latent framework, show how proof discovery works as neural architecture search, and demonstrate the method on a concrete physics problem.

3 papers

Core Theory Draft Lean DOI Flagship
The Latent: Finite Sufficient Representations of Smooth Systems
We define the **Latent** of a smooth system as the basis-free element of a graded Hilbert tensor algebra that completely characterizes the system's distributional, dynamic, and functional properties.
80,076 words 35 claims
meta-methodology Draft Lean Flagship
The Operational Curry–Howard: Proof Discovery as Navigated Software Architecture
We propose a framework that unifies two perspectives on formal proof construction: **proof as pathfinding** in a type-theoretic state space and **proof as programming** via the Curry–Howard correspondence.
37,516 words 26 claims
Formal Verification Working Paper Lean DOI Flagship
Grade Decomposition and Gevrey Regularity for Navier-Stokes: A Machine-Checked Conditional Framework
We introduce a grade decomposition of the Gevrey energy balance for the incompressible Navier-Stokes equations. The physically correct model uses $\mathbb{C}$-valued Fourier coefficients with a factor of $i$ in the advection; the real-coefficient model trivializes all grade-3 terms.
9,471 words 7 claims