Exercise 4.17. Draw diagrams of the environment in effect when evaluating the expression in the procedure in the text, comparing how this will be structured when definitions are interpreted sequentially with how it will be structured if definitions are scanned out as described. Why is there an extra frame in the transformed program? Explain why this difference in environment structure can never make a difference in the behavior of a correct program. Design a way to make the interpreter implement the ``simultaneous'' scope rule for internal definitions without constructing the extra frame. ———————————————————————————————————————————————————————————————————————— [drawings skipped] There is an extra frame when is evaluated because of the let expression, which creates a new environment. In a correct program, only the set! expressions will alter the values of the bindings in this extra environment structure, and none of these set! expressions will read any of these values (since (define) expressions must occur first, and cannot require other (define) values for initialization). All subsequent read-only accesses to these values from will be unaffected by the fact that they are in a different environment frame. An alternative approach to implement this rule is, when executing a procedure, to have the interpreter scan the body for all define expressions and remove them. For each define expression, assign '*unassigned* to the variable name. Next, for each define expression, evaluate it and store the result internally (in the interpreter), but do not bind the variable name yet. Finally, once each is evaluated, replace '*unassigned* for each of the names with the corresponding value that was stored. Then run the rest of the procedure body (which has had the define expressions removed from it).