Over the years, Logic Programming has proved to be a good and natural tool for expressing, querying and manipulating explicit knowledge in many areas of computer science. However, it is not so easy to use in dynamic environments. Evolving Logic Programs (EVOLP) are an elegant and powerful extension of Logic Programming suitable for Multi-Agent Systems, planning and other uses where information tends to change dynamically. In this paper we characterize EVOLP by transforming it into an equivalent normal logic program over an extended language, that serves as a basis of an existing implementation. Then we prove that the proposed transformation is sound and complete and examine its computational complexity