Abstract : PROPs and Lawvere categories are related notions adapted to the study of algebraic structures borne by an object in a category, but whereas PROPs are symmetric monoidal, Lawvere categories are cartesian. This paper formulates the connection between the two notions using Lack’s technique for composing PROPs via distributive laws. We show Lawvere categories can be seen as resulting from a distributive law of two PROPs — one expressing the algebraic structure in linear form and the other expressing the ability of copying and discarding variables.
Type de document :
Communication dans un congrès
Ichiro Hasuo. 13th International Workshop on Coalgebraic Methods in Computer Science (CMCS), Apr 2016, Eindhoven, Netherlands. Lecture Notes in Computer Science, LNCS-9608, pp.11-32, 2016, Coalgebraic Methods in Computer Science. 〈10.1007/978-3-319-40370-0_3〉
https://hal.inria.fr/hal-01446031
Contributeur : Hal Ifip
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Soumis le : mercredi 25 janvier 2017 - 15:24:22
Dernière modification le : vendredi 20 avril 2018 - 15:44:25
Document(s) archivé(s) le : mercredi 26 avril 2017 - 15:07:07
