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Characterizing hybrid ASP solving in a generic way is difficult since oneneeds to abstract from specific theories. Inspired by lazy SMT solving, this isusually addressed by treating theory atoms as opaque. Unlike this, we propose aslightly more transparent approach that includes an abstract notion of a term.Rather than imposing a syntax on terms, we keep them abstract by stipulatingonly some basic properties. With this, we further develop a semantic frameworkfor hybrid ASP solving and provide aggregate functions for theory variablesthat adhere to different semantic principles, show that they generalizeexisting aggregate semantics in ASP and how we can rely on off-the-shelf hybridsolvers for implementation.

A Uniform Treatment of Aggregates and Constraints in Hybrid ASP