Question: Need help in AI assignment. 3- First-order logic Translate the following sentences to first order logic, using Border, In, and Country as functions: a. There
Need help in AI assignment. 3- First-order logic Translate the following sentences to first order logic, using Border, In, and Country as functions: a. There is a country that borders both Iraq and Pakistan. b. All countries that border Ecuador are in South America. c. No region in South America borders any region in Europe. d. Turkey is in both Asia and Europe. e. India is in either Asia or in Europe 4- First-order logic Here are two sentences in the language of first-order logic: A: Vx3y (x > y) B: By Vx (x > y) Assume that the variables range over all the natural numbers 0, 1,2,..., oo and that the ">" predicate means "is greater than or equal to". Under this interpretation, translate the above sentences to English. a. b. Is (A) true under this interpretation? c. Is (B) true under this interpretation? d. Does (A) logically entail (B)? e. Does (B) logically entail (4)? f. Using resolution, try to prove that (A) follows from (B). Do this even if you think that (B) dues not logically entail (A); continue until the proof breaks down and you cannot proceed (if it does break down). Show the unifying substitution for each resolution step. If the proof fails, explain exactly where, how, and why it breaks down. Now try to prove that (B) follows from (A). g
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