Capability Safety as Datalog: A Foundational Equivalence

Fuente: arXiv
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Autore principale: Spera, Cosimo
Natura: Preprint
Pubblicazione: 2026
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author Spera, Cosimo
author_facet Spera, Cosimo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_26725
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Capability Safety as Datalog: A Foundational Equivalence
Spera, Cosimo
Logic in Computer Science
Artificial Intelligence
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.
title Capability Safety as Datalog: A Foundational Equivalence
topic Logic in Computer Science
Artificial Intelligence
url https://arxiv.org/abs/2603.26725