FTS3 and FTS4 are an SQLite virtual table modules that allows users to perform full-text searches on a set of documents.
The most common (and effective) way to describe full-text searches is "what Google, Yahoo and Altavista do with documents placed on the World Wide Web". Users input a term, or series of terms, perhaps connected by a binary operator or grouped together into a phrase, and the full-text query system finds the set of documents that best matches those terms considering the operators and groupings the user has specified.