Reading preserves the computer memory; writing returns the unit type value; allocating returns both the fresh memory location and the allocator's updated computer memory:
get :: Monad m => Location -> MemT m Value
get a s = resultM (contents s a,s)

put :: Monad m => Location -> Value -> MemT m ()
put a v s = resultM ((),update s a v)

new :: Monad m => MemT m Location
new s = resultM (fresh s)
These use the memory interface in [ref]. In particular, fresh already returns its outputs in the order required by the state monad transformer:
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