Module theorem for the general theory of stable models

2012 Theory and Practice of Logic Programming  
AbstractThe module theorem by Janhunenet al. demonstrates how to provide a modular structure in answer set programming, where each module has a well-defined input/output interface which can be used to establish the compositionality of answer sets. The theorem is useful in the analysis of answer set programs, and is a basis of incremental grounding and reactive answer set programming. We extend the module theorem to the general theory of stable models by Ferrariset al. The generalization applies
more » ... to non-ground logic programs allowing useful constructs in answer set programming, such as choice rules, the count aggregate, and nested expressions. Our extension is based on relating the module theorem to the symmetric splitting theorem by Ferrariset al. Based on this result, we reformulate and extend the theory of incremental answer set computation to a more general class of programs.
doi:10.1017/s1471068412000269 fatcat:373ef47hvvgjtfanjh6xd2apmi