We establish that the local state monad introduced by Plotkin and Power is a monad with graded arities in the category [Inj,Set]. From this, we deduce that the local state monad is associated to a graded Lawvere theory which is presented by generators and relations, depicted in the graphical language of string diagrams. © 2014 Springer International Publishing Switzerland.
CITATION STYLE
Melliès, P. A. (2014). Local states in string diagrams. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8560 LNCS, pp. 334–348). Springer Verlag. https://doi.org/10.1007/978-3-319-08918-8_23
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