Event Concealment and Concealability Enforcement in Discrete Event Systems Under Partial Observation

Fuente: arXiv
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Auteurs principaux: Duan, Wei, Hadjicostis, Christoforos N., Li, Zhiwu
Format: Preprint
Publié: 2022
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author Duan, Wei
Hadjicostis, Christoforos N.
Li, Zhiwu
author_facet Duan, Wei
Hadjicostis, Christoforos N.
Li, Zhiwu
contents Inspired by privacy problems where the behavior of a system should not be revealed to an external curious observer, we investigate event concealment and concealability enforcement in discrete event systems modeled as non-deterministic finite automata under partial observation. Given a subset of secret events in a given system, concealability holds if the occurrence of all secret events remains hidden to a curious observer (an eavesdropper). A secret event is said to be (at least under some executions) unconcealable (inferable) if its occurrence can be indirectly determined with certainty after a finite number of observations. When concealability of a system does not hold (i.e., one or more secret events are unconcealable), we analyze how a defender, placed at the interface of the system with the eavesdropper, can be used to enforce concealability. The defender takes as input each observed event of the system and outputs a carefully modified event sequence (seen by the eavesdropper) using event deletion, insertion, or replacement. The defender is said to be C-enforceable if, following the occurrence of the secret events and regardless of subsequent activity generated by the system, it can always deploy a strategy to manipulate observations and conceal the events perpetually. We discuss systematic procedures to detect the presence of unconcealable secret events and verify C-Enforceability using techniques from state estimation and event diagnosis. We also propose a polynomial complexity construction for obtaining one necessary and one sufficient condition for C-Enforceability.
format Preprint
id arxiv_https___arxiv_org_abs_2205_03170
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Event Concealment and Concealability Enforcement in Discrete Event Systems Under Partial Observation
Duan, Wei
Hadjicostis, Christoforos N.
Li, Zhiwu
Cryptography and Security
Systems and Control
Inspired by privacy problems where the behavior of a system should not be revealed to an external curious observer, we investigate event concealment and concealability enforcement in discrete event systems modeled as non-deterministic finite automata under partial observation. Given a subset of secret events in a given system, concealability holds if the occurrence of all secret events remains hidden to a curious observer (an eavesdropper). A secret event is said to be (at least under some executions) unconcealable (inferable) if its occurrence can be indirectly determined with certainty after a finite number of observations. When concealability of a system does not hold (i.e., one or more secret events are unconcealable), we analyze how a defender, placed at the interface of the system with the eavesdropper, can be used to enforce concealability. The defender takes as input each observed event of the system and outputs a carefully modified event sequence (seen by the eavesdropper) using event deletion, insertion, or replacement. The defender is said to be C-enforceable if, following the occurrence of the secret events and regardless of subsequent activity generated by the system, it can always deploy a strategy to manipulate observations and conceal the events perpetually. We discuss systematic procedures to detect the presence of unconcealable secret events and verify C-Enforceability using techniques from state estimation and event diagnosis. We also propose a polynomial complexity construction for obtaining one necessary and one sufficient condition for C-Enforceability.
title Event Concealment and Concealability Enforcement in Discrete Event Systems Under Partial Observation
topic Cryptography and Security
Systems and Control
url https://arxiv.org/abs/2205.03170