%0 Journal Article %T A Coalgebra as an Intrusion Detection System %A Daniel Mih¨˘lyi %A Valerie Novitzk¨˘ %J Acta Polytechnica Hungarica %D 2010 %I ?buda University %X 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. %K Coalgebra %K Category theory %K Intrusion detection system %U http://uni-obuda.hu/journal/Mihalyi_Novitzka_23.pdf