Abstract
We characterise the polarised evaluation order through a categorical structure where the hypothesis that composition is associative is relaxed. Duploid is the name of the structure, as a reference to Jean-Louis Loday's duplicial algebras. The main result is a reflection Adj → Dupl where Dupl is a category of duploids and duploid functors, and Adj is the category of adjunctions and pseudo maps of adjunctions. The result suggests that the various biases in denotational semantics: indirect, call-by-value, call-by-name... are ways of hiding the fact that composition is not always associative. © 2014 Springer-Verlag.
Cite
CITATION STYLE
Munch-Maccagnoni, G. (2014). Models of a non-associative composition. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8412 LNCS, pp. 396–410). Springer Verlag. https://doi.org/10.1007/978-3-642-54830-7_26
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