Standard semantics

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.

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standard interpretation
standard I/O
Standard Lisp
Standard ML
Standard ML of New Jersey
Computational Adequacy Theorem
denotational semantics
standard interpretation
standard semantics
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