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In computer science, denotational semantics (initially known as mathematical semantics or Scott–Strachey semantics) is an approach of formalizing the meanings of programming languages by constructing mathematical objects (called denotations) that describe the meanings of expressions from the languages.
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Attribute grammars can be understood as a denotational semantics where the target language is simply the original language enriched with attribute annotations. Aside from formal semantics, attribute grammars have also been used for code generation in compilers, and to augment regular or context-free grammars with context-sensitive conditions;
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When C 0 has received back two values N 1 and N 2, it sends C the value N 1 + N 2. In this way, the denotational semantics for process calculi and the Actor model provide a denotational semantics for "<expression 1 > + <expression 2 >" in terms of the semantics for <expression 1 > and <expression 2 >.
In computer science, denotational semantics is contrasted with operational semantics. In media studies terminology, denotation is an example of the first level of analysis: what the audience can visually see on a page. Denotation often refers to something literal, and avoids being a metaphor.