Abstract
In this paper we propose an extension of Answer Set Programming (ASP) by non-Herbrand functions, i.e. functions over non-Herbrand domains, and describe a solver for the new language. Our approach stems for our interest in practical applications, and from the corresponding need to compute the answer sets of programs with non-Herbrand functions efficiently. Our extension of ASP is such that the semantics of the new language is obtained by a comparatively small change to the ASP semantics from [8]. This makes it possible to modify a state-of-the-art ASP solver in an incremental fashion, and use it for the computation of the answer sets of (a large class of) programs of the new language. The computation is rather efficient, as demonstrated by our experimental evaluation.
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