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Tarmo Uustalu

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Additive Cellular Automata Graded-MonadicallyPPDP 20232023-10-22
Shows that cellular automata are graded comonadic by grading with finite neighborhoods (preordered monoid of subsets) and models uniform continuity via locally…
Talk on
Flexibly graded monads and graded algebrasHOPE 20222022-09-11
Defines flexibly graded monad as a monad on graded sets (results may carry grades), proves no ordinary graded monad can have algebras exactly equal to graded…
Talk on
Flexible Presentations of Graded MonadsICFP 20222022-09-11
Defines a flexibly graded presentation that permits operations whose arguments carry different grades and proves two concrete claims: every such presentation…
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