Firewalls use packet filtering to either accept or deny packets on the basis of a set of predefined rules called filters. The firewall forms the initial layer of defense and protects the network from unauthorized access. However, maintaining firewall policies is always an error prone task, because the policies are highly complex. Conflict is a misconfiguration that occurs when a packet matches two or more filters. The occurrence of conflicts in a firewall policy makes the filters either redundant or shadowed, and as a result, the network does not reflect the actual configuration of the firewall policy. Hence, it is necessary to detect conflicts to keep the filters meaningful. Even though geometry-based conflict detection provides an exhaustive method for error classification, when the number of filters and headers increases, the demands on memory and computation time increase. To solve these two issues, we make two main contributions. First, we propose a topology-based conflict detection system that computes the topological relationship of the filters to detect the conflicts. Second, we propose a systematic implementation method called BISCAL (a bit-vector-based spatial calculus) to implement the proposed system and remove irrelevant data from the conflict detection computation. We perform a mathematical analysis as well as experimental evaluations and find that the amount of data needed for topology is only one-fourth of that needed for geometry.
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