Some Results

Under certain solver conditions, the following sets are equivalent:

• Success set: the set of initial goals for which the top-down evaluation finishes, plus the constraints deduced (corresponds to the operational semantics)
• Bottom-up fixed point: the set of goals plus constraints deduced by an accumulative bottom-up program evaluation
• Logical interpretation: the set of goals plus constraints which are logical consequence of the program (formal logic is augmented with the axioms necessary to characterize the constraint domain being used)