Monadic metalanguage [mde-0028]
Monadic metalanguage [mde-0028]
Moggi's monadic metalanguage (Moggi 1991, Section 2) is an internal language for categories equipped with a strong monad: it is do-notation.
That is, it extends the internal language for categories (perhaps with finite products, or cartesian closed structure) by introducing a new type \(T \tau \) for every type \(\tau \), and terms subject to the following typing rules,
subject to the equivalences,
