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A Coalgebra as an Intrusion Detection System

Author(s): Daniel Mihályi | Valerie Novitzká

Journal: Acta Polytechnica Hungarica
ISSN 1785-8860

Volume: 7;
Issue: 2;
Start page: 71;
Date: 2010;
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Keywords: Coalgebra | Category theory | Intrusion detection system

In this paper we construct a coalgebra for an intrusion detection system todescribe the behaviour of a packet stream together with selected actions in the case ofintrusions. We start with an extension of the notion of the many-typed signature to thegeneralised signature and we construct the category of packets as a basic structure of ourapproach. A defined endofunctor captures the expected behaviour of the packet stream. Theconstructed coalgebra enables the description of the behaviour of the packet streamtogether with the reaction to intrusions.
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