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sicp-all-tasks/sicp/3_002e45

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Exercise 3.45: Louis Reasoner thinks our
bank-account system is unnecessarily complex and error-prone now that deposits
and withdrawals aren’t automatically serialized. He suggests that
make-account-and-serializer should have exported the serializer (for use
by such procedures as serialized-exchange) in addition to (rather than
instead of) using it to serialize accounts and deposits as make-account
did. He proposes to redefine accounts as follows:
(define
(make-account-and-serializer balance)
(define (withdraw amount)
(if (>= balance amount)
(begin (set! balance
(- balance amount))
balance)
"Insufficient funds"))
(define (deposit amount)
(set! balance (+ balance amount))
balance)
(let ((balance-serializer
(make-serializer)))
(define (dispatch m)
(cond ((eq? m 'withdraw)
(balance-serializer withdraw))
((eq? m 'deposit)
(balance-serializer deposit))
((eq? m 'balance)
balance)
((eq? m 'serializer)
balance-serializer)
(else (error "Unknown request:
MAKE-ACCOUNT"
m))))
dispatch))
Then deposits are handled as with the original make-account:
(define (deposit account amount)
((account 'deposit) amount))
Explain what is wrong with Louis’s reasoning. In particular, consider what
happens when serialized-exchange is called.