Capability Safety as Datalog: A Foundational Equivalence
We prove that capability safety admits an exact representation as propositional Datalog evaluation (Datalogprop: the monadic, ground, function-free fragment of first-order logic), enabling the transfer of algorithmic and structural results unavailable in the native formulation. This addresses two structural limitations of the capability hypergraph framework of Spera [2026]: the absence of efficient incremental maintenance, and the absence of a decision procedure for audit surface containment. The equivalence is tight: capability hypergraphs correspond to exactly this fragment, no more.
| Authors | Cosimo Spera |
|---|---|
| Primary category | cs.LO |
| Published | 20 March 2026 |
| Last updated at source | 20 March 2026 |
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