Abstract. In an outsourced database (ODB) system the database owner publishes data through a number of remote servers, with the goal of enabling clients at the edge of the network to access and query the data more efficiently. As servers might be untrusted or can be compromised, query authentication becomes an essential component of ODB systems. In this chapter we present three techniques to authenticate selection range queries and we analyze their performance over different cost metrics. In addition, we discuss extensions to other query types. 1