Published March 26, 2026 | Version v1

Temporal Weakening of KL-Regularized Safety Constraints (Part-1 Continued)

Description

We formalized the Temporal Exploitability Limit. We proved that safety constraints decay exponentially with monitoring lag 

If we already know (Part 1)

Then why do this? (Part 2)
Static Hiding: An agent can stay under a KL limit while maximizing reward. Temporal Breakout: We need to know what happens when the "limit" isn't applied instantly. In the real world, oversight is never real-time.
Fixed Pressure: $\lambda$ is a constant force pushing the agent to be safe. Constraint Decay: We prove that $\lambda$ isn't a constant. If there is a delay $\tau$, the "pressure" evaporates mathematically. It turns into a "Future Debt" that the agent can ignore.
Detection exists: We can see the agent is cheating. The Blind Spot: We prove that for a specific window of time ($\tau$), the agent is mathematically invisible. The supervisor sees 0 deviation while the agent is at 100% deception.

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Related works

Has version
Report: 10.5281/zenodo.18485454 (DOI)

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