Additive cellular automata graded-monadically

dc.contributorReykjavik Universityen_US
dc.contributorHáskólinn í Reykjavíken_US
dc.contributor.authorCapobianco, Silvio
dc.contributor.authorUustalu, Tarmo
dc.contributor.departmentDepartment of Computer Science (RU)en_US
dc.contributor.departmentTölvunarfræðideild (HR)en_US
dc.contributor.schoolSchool of Technology (RU)en_US
dc.contributor.schoolTæknisvið (HR)en_US
dc.date.accessioned2024-02-29T09:43:05Z
dc.date.available2024-02-29T09:43:05Z
dc.date.issued2023-10-22
dc.description.abstractCellular automata are an archetypical comonadic notion of computation in that computation happens in the coKleisli category of a comonad. In this paper, we show that they can also be viewed as graded comonadic—a perspective that turns out to be both more informative and also more basic. We also discuss additive cellular automata to show that they admit both a graded comonadic and a graded monadic view. That these two perspectives are simultaneously available in this special case arises from a graded version of an observation by Kleiner about adjoint comonad-monad pairs.en_US
dc.description.sponsorshipThis work was supported by the Estonian Research Council team grant no. PRG1210 and by the Icelandic Research Fund project 228684-051.en_US
dc.description.versionPeer Revieweden_US
dc.format.extentarticle 13en_US
dc.identifier.citationS. Capobianco, T. Uustalu. Additive cellular automata graded-monadically. In 25th International Symposium on Principles and Practice of Declarative Programming (PPDP ’23), October 22-23, 2023, Lisbon, Portugal, art. 13, 9 pp. ACM, New York, 2023. doi:10.1145/3610612.3610625en_US
dc.identifier.doi10.1145/3610612.3610625
dc.identifier.isbn979-8-4007-0812-1
dc.identifier.journal25th International Symposium on Principles and Practice of Declarative Programming (PPDP '23)en_US
dc.identifier.urihttps://hdl.handle.net/20.500.11815/4744
dc.language.isoenen_US
dc.publisherACMen_US
dc.relation.ispartofseriesACM International Proceeding Series;
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectmodels of computationen_US
dc.subjectcellular automataen_US
dc.subjectadditive cellular automataen_US
dc.subjectcomonadsen_US
dc.subjectadjoint comonad-monad pairsen_US
dc.subjectgraded comonadsen_US
dc.subjectgraded monadsen_US
dc.titleAdditive cellular automata graded-monadicallyen_US
dc.typeinfo:eu-repo/semantics/bookParten_US

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