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Check that the term ADD-2xyab.(xa)(yab) behaves like the addition function; that is, show that when we apply ADD to two Church numerals, the Church numeral

Check that the term ADD-2xyab.(xa)(yab) behaves like the addition function; that is, show that when we apply ADD to two Church numerals, the Church numeral representing their sum is obtained. Hint: Reduce the term (2x././.b.(xa)(yab)nm. Check that the term ADD-2xyab.(xa)(yab) behaves like the addition function; that is, show that when we apply ADD to two Church numerals, the Church numeral representing their sum is obtained. Hint: Reduce the term (2x././.b.(xa)(yab)nm

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