Post Production System Question, Pｌｓ　ｈｅｌｐ　ｍｅ

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ｗｈａｔ　ｉｓ　ｔｈｅ　ｓｉｎｇｌｅ　ａｘｉｏｍ　ａｎｄ　ｒｕｌｅｓ　ｏｆ　ｉｎｆｅｒｅｎｃｅ？？
 
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  • Piecewise definition f(n) equals n/2 if n is even, and 3n + 1 otherwise, followed by a printed problem statement about the Collatz sequence and a formal system S.
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