The document discusses techniques for efficient k-nearest neighbor searches in PostgreSQL. It begins by describing the kNN search problem and existing solutions. It then proposes modifying the generalized search tree (GiST) index in PostgreSQL to use a best-first search strategy rather than depth-first search, to avoid a full scan of the index and read tuples in the optimal order. The techniques aim to support different data types, tuple visibility, and efficient performance for large datasets. Examples demonstrating the approach on synthetic point data are also provided.