Intrusion detection system episteme

In our paper we investigate the possibilities of modal logics in coalgebras of program systems. We deal with a simplified model of an intrusion detection system. We model an intrusion detection system as a coalgebra and construct its Kripke model of coalgebraic modal linear logic using powerset endofunctor. In this model we present our idea how a fragment of epistemic linear logic can provide knowledge and belief of intrusion attempt.