Final answer:
The normalization process in database design requires that decompositions be lossless and preserve dependencies, ensuring no data loss upon joining tables and the maintenance of integrity constraints.
Step-by-step explanation:
The question refers to the properties of decomposition in the normalization process of database design. The correct answer to this question is Listlessness or Dependency Preservation of the corresponding join; Preservation of Dependencies.
In the normalization process, it is crucial that the decompositions ensure that no data is lost when joining tables back together (listlessness) and that the integrity constraints (dependencies) of the original schema are preserved post-decomposition. Losslessness ensures that when the decomposed tables are rejoined through a natural join operation, all original data can be perfectly recovered. Dependency preservation ensures that any functional dependencies are represented and enforced within at least one of the resultant tables. The goal of normalization is to minimize redundancy and eliminate undesirable characteristics such as insertion, update, and deletion anomalies.