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2.) (28 points) Using only symbols-, f, S, +, x, logical connectives, the numbers 0, 1 and 2, variables and quantifiers write the following predicates

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2.) (28 points) Using only symbols-, f, S, +, x, logical connectives, the numbers 0, 1 and 2, variables and quantifiers write the following predicates (a.k.a. non-sentence statements) concerning natural numbers. The simpler your answer, the better. The first one, part (a), is solved as an example (a) "z is a sum of two squares of natural numbers." SOLUTION: By E Nz E N) yxy+zxz (b) "z is a common multiple of y and z." (c) "z is the least common multiple of y and z." (d) "z is an odd prime number

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