[ww520]

Functional language has the declarative aspect while declarative language lacks the functional aspect. Just because A => B doesn't mean B => A.

[TheZenPsycho]

You are correct that the fact that excel is declarative does not, on its own, make it "functional"... the fact that excel formulas adhere (by the definition of what an excel formula is) to the statelessness, and referential transparency requirements of "first order functions" does make it functional.

[gruseom]

But Excel doesn't have first order functions. You can't even define a function in spreadsheet cells, let alone pass one around as a value.

[chousuke]

The cells are the functions.

[gruseom]

A cell formula defines a computation, but not a function. For it to be a function you have to be able to reuse it (call it as a function) in multiple places.

For example, you can't define the abstraction "square" in Excel. You can compute 2 * 2, A1 * A1 and so on. But there's no way to define a construct which given x produces x * x, then reuse that construct everywhere you want to square things. Everywhere you want to square something, you must inline the computation. That's the absence of functional abstraction.

[ww520]

The reusability test of function nails it. Thanks for clarifying it. Sometimes we just need to go back to the basic definition to make things clear.