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We present a denotational account of dynamic allocation of potentially cyclicmemory cells using a monad on a functor category. We identify the collection ofheaps as an object in a different functor category equipped with a monad foradding hiding/encapsulation capabilities to the heaps. We derive a monad forfull ground references supporting effect masking by applying a state monadtransformer to the encapsulation monad. To evaluate the monad, we present adenotational semantics for a call-by-value calculus with full groundreferences, and validate associated code transformations.

A monad for full ground reference cells