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A monad for full ground reference cells

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

Joint work with: Paul B. Levy, Sean K. Moss, and Sam Staton.

This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series.

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