Abstract
We propose a very simple formalism based on parameterized types and a rule-based algebra to explain the storage structures and algorithms of database management systems. Implementations of DBMSs are expressed as equations If all functions referenced in the equations have been implemented the software for a DBMS can be synthesized in minutes at little cost, in contrast to current methods where man-years of effort and hundreds of thousands of dollars are required. Our research aims to develop a DBMS counterpart to today's compiler-complier technologies

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