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Let E = (0,1,2,3, 4, 5,6,7,8,9, +, } and consider the language L of all strings over E that constitute a valid and correct

 

Let E = (0,1,2,3, 4, 5,6,7,8,9, +, } and consider the language L of all strings over E that constitute a valid and correct equation of the form a + b = c where a, b, c are non-negative integers represented in base 10, without leading zeros. Some elements of L include 13+17 = 30 and 99 +0 = 99, but not 13+ 17 = 29 (wrong arithmetic) or 99+01 100 (leading zero in the number 1). Use the Pumping Lemma to prove that L is not regular. %3D Let E = (0,1,2,3, 4, 5,6,7,8,9, +, } and consider the language L of all strings over E that constitute a valid and correct equation of the form a + b = c where a, b, c are non-negative integers represented in base 10, without leading zeros. Some elements of L include 13+17 = 30 and 99 +0 = 99, but not 13+ 17 = 29 (wrong arithmetic) or 99+01 100 (leading zero in the number 1). Use the Pumping Lemma to prove that L is not regular. %3D

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