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Lists can be encoded in the lambda calculus. A way to do this, is by defining a lambda term that, like a cons, inserts an
Lists can be encoded in the lambda calculus. A way to do this, is by defining a lambda term that, like a "cons", inserts an element at the head of a list, initially empty. Rather than showing the full lambda term, we introduce the defined term cons For example, the result of reducing the encoding of the expression cons will be the encoding for the list Assume that you have available the fixedpoint operator Y and the terms cons sqr and succ respectively for list construction, square and successor functions. Which expressions will these terms define? Show your argument before the final answer.
Ylambda lconsxl
Ylambda flambda nconssqrnfsuccn
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