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The normalization of relations in DBMS is based on

  1. Divide and conquer algorithm
  2. Axioms of probability
  3. Greedy algorithm
  4. Armstrong's axioms 
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Armstrong Axioms is the answer.

Normalization is done to get the minimal set of functional dependencies which can be used to generate all other functional dependencies. Armstrong axioms states those rules.

For more information visit https://www.geeksforgeeks.org/armstrongs-axioms-in-functional-dependency-in-dbms/

 

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