| Abstract MFPS 17 Preliminary Version Semantics for algebraic operations (2008) | |||||||||||||||||
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| Given a category C with finite products and a strong monad T on C, we investigate axioms under which an ObC-indexed family of operations of the form αx: (T x) n − → T x provides a definitive semantics for algebraic operations added to the computational λ-calculus. We recall a definition for which we have elsewhere given adequacy results for both big and small step operational semantics, and we show that it is equivalent to a range of other possible natural definitions of algebraic operation. We outline examples and non-examples and we show that our definition is equivalent to one for call-by-name languages with effects too. 1 | |||||||||||||||||
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