Does Firebird support full-text search?

Not directly in the engine, but there are 3rd party solutions:

http://www.ibobjects.com/ibofts.html
http://www.textolution.com/ftsib.asp
http://www.codeproject.com/cs/database/FulltextFirebird.asp
http://www.tamaracka.com/
http://sourceforge.net/projects/mutis
http://www.sphinxsearch.com/

You can also read a paper titled "Full text search in Firebird without a full text search engine" by Bjoern Reimer and Dirk Baumeister, presented at 4th Firebird Conference:

http://www.ibphoenix.com/downloads/FirebirdConf2006/TECH-TPZ303-R/TECH-TPZ303-R.zip

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