When Lean Proved My Durability Definition Too Easily

Short summary

The author formalized ACID properties in Lean 4 and discovered that Lean proved durability with surprisingly few assumptions, exposing the definition as overly loose. Transactions become state transformations, consistency becomes invariant preservation, and atomicity/isolation map to algebraic properties—offering a mathematical lens on database design.

• •ACID formalized in Lean 4 as algebraic structures: transactions = state transformations, consistency = invariant preservation
• •Durability proved with minimal assumptions, suggesting the formal definition needs tighter constraints
• •Opens new perspective on database architecture through category theory and mathematical abstractions

Generated with AI, which can make mistakes.