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Solutions to all three questions of the paper dated 11 June 2015.^[ref] In the equations below, $r_m$ and ${▹}_m$ denote the base computational monad's result and sequencing operations. All equalities of computations are extensional: apply both sides to the same remaining arguments. Haskell fragments use result and bind for the paper's $\mathrm{result}$ and $▹$. The FunMem programs use the language's own syntax.

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: