Based on the provided search context, there is no mention of a framework named CONTINUITY or a paper titled "Security-Context Contracts for Composable LLM Agent Controls." The search results instead highlight two other recent frameworks for LLM agent security:
- A Framework for Formalizing LLM Agent Security (Siu et al., March 2026): This framework systematizes agent security through four contextual properties—task alignment, action alignment, source authorization, and data isolation—verified via oracle functions. It argues that security is contextual and that existing defenses often fail because they do not verify all four properties simultaneously against the full execution context.
- Alignment Contracts for Agentic Security Systems (May 2026): This work introduces alignment contracts with finite-trace semantics, focusing on enforcement soundness under an Effect Observability Assumption (EOA). It uses a reference monitor to enforce scope, allow/forbid constraints, and disclosure policies, ensuring that mediated effects remain within authorized boundaries regardless of the underlying LLM's behavior.
If CONTINUITY is a distinct or newer framework not covered in the provided search results, its specific details regarding security-context discontinuity and verifiable end-to-end composition are not available in the current context.