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i would like to check if my relational algebra statements are correct, so is there a program out there that outputs relational algebra equivalent of an SQL query?

A: 

I don't know of one. There isn't a relational algebra equivalent of every SQL query and not every RA expression has an equivalent in SQL.

You might want to check out Rel (http://dbappbuilder.sourceforge.net/Rel.php) which is based on Tutoral D - a truly relational language much more like the RA.

dportas