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Algebraic Semantics

Algebraic semantics are used to describe the behavior of programming languages. This approach mathematically models languages and processes by using algebraic structures like operations, equations, and laws. By capturing programming concepts within a mathematical framework, algebraic semantics help analyze language features and verify properties such as correctness or efficiency. The formal nature of this technique makes it especially useful for compiler design, teaching precise language definitions, and proving program transformations preserve meaning. Algol 68 is an example of a programming language defined with an algebraic semantics approach.

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