On Algebras with Effectful Iteration - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2018

On Algebras with Effectful Iteration


For every finitary monad T on sets and every endofunctor F on the category of T-algebras we introduce the concept of an ffg-Elgot algebra for F, that is, an algebra admitting coherent solutions for finite systems of recursive equations with effects represented by the monad T. The goal of this paper is to study the existence and construction of free ffg-Elgot algebras. To this end, we investigate the locally ffg fixed point $$\varphi F$$φF, the colimit of all F-coalgebras with free finitely generated carrier, which is shown to be the initial ffg-Elgot algebra. This is the technical foundation for our main result: the category of ffg-Elgot algebras is monadic over the category of T-algebras.
Fichier principal
Vignette du fichier
473364_1_En_9_Chapter.pdf (506.65 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02044647 , version 1 (21-02-2019)





Stefan Milius, Jiří Adámek, Henning Urbat. On Algebras with Effectful Iteration. 14th International Workshop on Coalgebraic Methods in Computer Science (CMCS), Apr 2018, Thessaloniki, Greece. pp.144-166, ⟨10.1007/978-3-030-00389-0_9⟩. ⟨hal-02044647⟩
54 View
80 Download



Gmail Facebook X LinkedIn More