In this article we consider the mathematical foundations and software implementation of the early diagnosis of computer attacks. For this we used the JSM method of automatic hypothesis generation and the theory of case-based models.This software outputs hypotheses about the properties and expected consequences of a new computer attack. The system analyses a set of properties of the computer attack known to the user. For this we use the Base of the cyber attack's precedents, described in the language of fuzzification of Boolean-valued models. Each potential property of the new attack is studied by using the JSM method. This process builds sets of positive and negative hypotheses concerning each property, giving a set of properties and consequences characteristic of the attack that has yet not happened at the time of analysis.The developed algorithm has polynomial complexity.Keywords: information security, computer attack, case of the computer attack, case-based model, fuzzification of the case-based model, JSM-method, JSM-reasoning
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