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...e the infinitary logic which we will use to represent gringo programs, and in Section 4 we give a theoretical result which makes this logic an appealing representational choice. In Section 5, we show that the semantics can be used to establish the correctness of a gringo program. Finally, our plans for future work are documented in Section 6. 2 Defining Semantics for Gringo Programs In this note we will use “Gringo” to denote the input language of gringo. In work currently in submission (Gebser et al. 2015), we extend the translational approach to defining the semantics of Gringo proposed in (Harrison et al. 2014b). In that note, we showed how rules containing arithmetical functions, comparisons, conditions, and aggregates can be translated into the language of infinitary propositional formulas described in Section 3. In (Gebser et al. 2015), we extend that semantics to cover intervals, pools, division of integers, aggregates with non-numeric values, and lparse-style aggregate expressions. That semantics serves as a specification for Gringo from Version 4.5 on. The key element of the proposed semantics is a translation function from Gringo Formal Methods for Answer Set Programming 3 into the language ...