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so last day we started off the compiler correctness example and in particular we defined the basic definitions which we need for the compiler and we formulated what it means for the compiler to actually be correct so what weamp;#39;re going to do today is the final lecture on the course and weamp;#39;re going to be doing three things so first of all as we often do weamp;#39;re going to start with a quick refresher on what we did last day in terms of the compiler correct this example then weamp;#39;re going to move over to think about how to actually do the proof that the compiler is correct and weamp;#39;ll do a straightforward inductive proof first of all and what weamp;#39;ll find is that thereamp;#39;s a number of issues with this proof that maybe weamp;#39;re not too satisfied with and what weamp;#39;ll see in the later part of todayamp;#39;s class is how we can simplify this proof by using some of the techniques which weamp;#39;ve learned about in the last couple of cla