A complete, nonredundant algorithm for reversed Skolemization (Q1059063)

The paper deals with the problem of reversing Skolemization and presents several algorithms to accomplish wholly this process. All the algorithms are written in a common language form. It is proved that the first of the algorithms is terminating, sound and non-redundant, but not complete. Therefore, the algorithm is preprocessed to the version which already has the properties of halting, soundness and completeness. From these two algorithms a third one is constructed as their combination, and its elementary properties like above are proved. Finally, the objective algorithm is presented for solving the overall process of de- Skolemization, and its termination, soundness, non-redundancy and completeness are proved.