2,760 research outputs found
Sheaf semantics of termination-insensitive noninterference
We propose a new sheaf semantics for secure information flow over a space of
abstract behaviors, based on synthetic domain theory: security classes are
open/closed partitions, types are sheaves, and redaction of sensitive
information corresponds to restricting a sheaf to a closed subspace. Our
security-aware computational model satisfies termination-insensitive
noninterference automatically, and therefore constitutes an intrinsic
alternative to state of the art extrinsic/relational models of noninterference.
Our semantics is the latest application of Sterling and Harper's recent
re-interpretation of phase distinctions and noninterference in programming
languages in terms of Artin gluing and topos-theoretic open/closed modalities.
Prior applications include parametricity for ML modules, the proof of
normalization for cubical type theory by Sterling and Angiuli, and the
cost-aware logical framework of Niu et al. In this paper we employ the phase
distinction perspective twice: first to reconstruct the syntax and semantics of
secure information flow as a lattice of phase distinctions between "higher" and
"lower" security, and second to verify the computational adequacy of our sheaf
semantics vis-\`a-vis an extension of Abadi et al.'s dependency core calculus
with a construct for declassifying termination channels.Comment: Extended version of FSCD '22 paper with full technical appendice
Target space entanglement in Matrix Models
We study target space entanglement in gauged multi-matrix models as models of
entanglement between groups of D-branes separated by a planar entangling
surface, paying close attention to the implementation of gauge invariance. We
open with a review of target space entanglement between identical particles,
which shares some important features (specifically a gauged permutation
symmetry) with our main problem. For our matrix models, we implement a gauge
fixing well-adapted to the entangling surface. In this gauge, we map the matrix
model problem to that of entanglement of a gauge theory on a complete or
all-to-all lattice. Matrix elements corresponding to open strings stretching
across the entangling surface in the target space lead to interesting
contributions to the entanglement entropy.Comment: 34 pages, 3 figure
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