The standard interpretation of a term in some language yields

the term's standard denotational semantics, i.e. its "meaning".

This is usually given by a semantic function which maps a term

in the abstract syntax to a point in some domain. The domain

is the interpretation of the term's type. The semantic

function also takes an environment - a function which maps the

free variables of the term to their meaning. We say that a

domain point "denotes", or "is the denotation of", a term. A

non-standard semantics results from some other interpretation,

e.g. an abstract interpretation.