Write an example code that contains common sub expression $($Programme$-1).$ Rewrite the code to eliminate the common sub expression $($Programe$-2).$ Code both these programmes in any programming language of your choice. Run this programmes in your computer$/$laptop and measure the execution time, memory usage and compare them. $(3$ Marks$)$

Briefly illustrate the process of using inference rules for type checking with example. $(2$ marks$)$

Note:

Assignment group shall be same as that of course project group

Each group have to present the results of question$-1$ with their laptop$/$computer$.$

Marks will be allotted based on Verification$/$oral test

During the course project discussion, one hard copy of the assignment per team have to be submitted in addition to the soft copy submission in the Blackboard.

Each and every group are supposed to submit the assignment with different programmes$/$illustrative examples. $($If same examples is found then marks will be reduced for both the teams$)$