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The paper extends the concept of justification to the context of Answer Set Programming---a recent paradigm that builds on the foundations of logic programming, answer set semantics, and non-monotonic reasoning. A justification describes the support for the truth value of each atom in an answer set of a logic program, and it can be employed as a tool for reasoning and debugging of answer set programs. The paper describes the implementation of the notion of justification in the ASP system along with some examples of its applications.