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We study normalization in the simply typed lambda-mu calculus, an extension of lambda calculus with control flow operators. Using an enriched version of the Yoneda embedding, we obtain a categorical normal form function for simply typed lambda-mu terms, which gives a special kind of a call-by-name denotational semantics particularly useful for deciding equalities in the lambda-mu calculus

Denotational Semantics of Call-by-name Normalization in Lambda-mu Calculus