Hi Roger,

On 24 November 2011 10:43, Costello, Roger L. <costello@mitre.org> wrote:
data Var = V | W | X | Y | Z

data Lambda = Variable Var | Application Lambda Lambda | Abstraction (Variable Var) Lambda

Variable is a constructor of the data type Lambda. Abstraction is another. You use Variable as if it was a data type while defining Abstraction.

data Lambda = Variable Var | Application Lambda Lambda | Abstraction Lambda Lambda

You can use the above declaration to successfully create your example lambda terms. However, it doesn't stop you from constructing things like:

Abstraction (Application .. ..) (Variable ..)

If you want to go to that land, you either need smart constructors (simpler) or GADTs (more hairy, unfortunately).

HTH,
Ozgur