Consider the following tree: Find ways to assign types to the leaves of this tree to satisfy each of the following conditions: The type of the root...
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Consider the following tree:


Screen Shot 2019-10-15 at</h1><p class='abPRemoveTitle'> 1.34.59 AM.png

Find ways to assign types to the leaves of this tree to satisfy each of the following conditions:

  1. The type of the root node is t.
  2. The type of the root node is e
  3. The root node, and only the root node, cannot have a type calculated using functional application. 



Determine the type of the variable x in each of the following lambda terms. If there is more than one possible type for x, say so, and give one type that works.

Screen Shot 2019-10-15 at 1.34.59 AM.png

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