SQL: Recursion

Contents

• A motivating example
• Recursion in SQL, Ancestor query in SQL3
• Fixed point of a function
• Fixed point of a query, Finding ancestors
• Intuition behind fixed-point iteration
• Linear recursion, Linear vs. non-linear recursion
• Mutual recursion example
• Semantics of WITH
• Computing mutual recursion
• Fixed points are not unique
• Mixing negation with recursion
• Fixed-point iter may not converge
• Multiple minimal fixed points
• Legal mix of negation and recursion
• Stratified negation example
• Evaluating stratified negation

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