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The paper presents an approach and formal framework for modeling attacks against computer network and its software implementation on the basis of a multi-agent architecture. The model of an attack is considered as a complex process of contest of adversary entities those are malefactor or team of malefactors, on the one hand, and network security system implementing a security policy, on the other hand. The paper focuses on the conceptual justification of the chosen approach, specification of the basic components composing attack model, formal frameworks for specification of the above components and their interaction in simulation procedure. The peculiarities of the developed approach are the followings: (1) malefactor’s intention-centric attack modeling; (2) multi-level attack specification; (3) ontology-based distributed attack model structuring; (4) attributed stochastic LL(2) context-free grammar for …