Unguarded Recursion on Coinductive Resumptions

Autor: Sergey Goncharov, Lutz Schröder, Christoph Rauch, Julian Jakob
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Logical Methods in Computer Science, Vol Volume 14, Issue 3 (2018)
Druh dokumentu: article
ISSN: 1860-5974
DOI: 10.23638/LMCS-14(3:10)2018
Popis: We study a model of side-effecting processes obtained by starting from a monad modelling base effects and adjoining free operations using a cofree coalgebra construction; one thus arrives at what one may think of as types of non-wellfounded side-effecting trees, generalizing the infinite resumption monad. Correspondingly, the arising monad transformer has been termed the coinductive generalized resumption transformer. Monads of this kind have received some attention in the recent literature; in particular, it has been shown that they admit guarded iteration. Here, we show that they also admit unguarded iteration, i.e. form complete Elgot monads, provided that the underlying base effect supports unguarded iteration. Moreover, we provide a universal characterization of the coinductive resumption monad transformer in terms of coproducts of complete Elgot monads.
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