Modules over Monads and Linearity

dc.creatorHirschowitz, André
dc.creatorMaggesi, Marco
dc.date2006-08-11
dc.date2007-05-07
dc.date.accessioned2026-07-07T07:59:37Z
dc.date.available2026-07-07T07:59:37Z
dc.descriptionInspired by the classical theory of modules over a monoid, we give a first account of the natural notion of module over a monad. The associated notion of morphism of left modules ("Linear" natural transformations) captures an important property of compatibility with substitution, in the heterogeneous case where "terms" and variables therein could be of different types as well as in the homogeneous case. In this paper, we present basic constructions of modules and we show examples concerning in particular abstract syntax and lambda-calculus.
dc.description15 pages, too many changes to be summarized
dc.identifierhttps://arxiv.org/abs/cs/0608051
dc.identifierhttp://arxiv.org/abs/cs/0608051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128432
dc.subjectLogic in Computer Science
dc.subjectProgramming Languages
dc.titleModules over Monads and Linearity
dc.typetext

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