A coalgebraic generalization of the belief construction is obtained via monad lifting to slices and belief decomposition, proving semantic coincidence with belief coalgebras and identifying conditions for agreement with fully observable counterparts.
Graded semantics and graded logics for Eilenberg-Moore coalgebras
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From Coalgebraic Determinization to Belief Construction for Partial Observability
A coalgebraic generalization of the belief construction is obtained via monad lifting to slices and belief decomposition, proving semantic coincidence with belief coalgebras and identifying conditions for agreement with fully observable counterparts.