Compiling Spatial Certificates into Temporal Contracts for Latency-Aware Control

What the math gives to ML

The paper contributes a compiler that converts spatial safety certificates into conservative temporal persistence contracts, so a runtime scheduler can reason about bounded latency without repeatedly integrating plant dynamics. Its key transferable asset is the persistence functional \(\Phi_I(x)\), whose nonnegative superlevel set is certified safe, together with a normalized unit-rate countdown that supports asynchronous execution and hybrid safety invariance. For neural systems, the most direct use is latency-aware scheduling of learned controllers or recurrent inference: compute a conservative remaining computation budget from the current certificate once, then permit delayed or asynchronous network execution only while the temporal contract remains nonnegative.