We have proposed an interactive fault localization method based on two data mining techniques, formal concept analysis and association rules. A lattice formalizes the partial ordering and the dependencies between the sets of program elements (e.g., lines) that are most likely to lead to program execution failures. The paper provides an algorithm to traverse that lattice starting from the most suspect places. The main contribution is that the algorithm is able to deal with any number of faults within a single execution of a test suite. In addition, a stopping criterion independent of the number of faults is provided.