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Designing an alternative to SQL?

I'm thinking of developing and implementing my own SQL equivalent (DDL + DML), which ...

  • pure relational algebraic language and
  • has elegant Lisp syntax - / Scheme-like

Assuming RDBMS such as MySQL, where exactly will I need to start work on creating a language? To the top of a layer with a storage engine like InnoDB?

I don’t know that all the functionality of RDBMS is usually located on the storage platform? My real intuitive understanding is that the bulk of the work needed to create a DBMS (e.g. MySQL) would already be done as part of the storage engine (in particular, in InnoDB), and all you have to do is create wrap language around It. But I also know that if that were true, why did MySQL exist in the first place!

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