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"Five-Point Haskell": Unconditional Election via Parametricity

The post explains how Haskell’s parametric polymorphism forces functions like forall a. a -> a to behave uniformly, illustrating unconditional election via universal quantification.

WHY IT MATTERS

Engineers can rely on parametricity to guarantee that polymorphic functions cannot inspect or modify their arguments, reducing the need for defensive checks. This property enables stronger reasoning about code correctness and facilitates safe abstraction boundaries.

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The three things worth knowing

01

A function with type forall a. a -> a in Haskell can only return its argument unchanged because type erasure prevents any runtime type inspection.

02

When the result type is fixed, such as forall a. a -> String, the function must ignore its input and produce a constant string.

03

Adding typeclass constraints like Show a restricts the function to use only what the class exposes, preserving parametric guarantees while allowing limited inspection.

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