6 Let L1 and L2 be two languages (a) Define the exclusive or (XOR) operation as L1La xl either x L1 or x L2 but not both) Prove or disprove that Turing recognizable languages are closed under the XOR operation Answer (b) Define the divide operator as L L2 (al L1 for some y L2 To illustrate the divide operator, suppose that Li w is a palindrome) and that L2 w w has even number of a's and b's Since aababbbabaa E L1 and bbabaa E L2 then aabab E L1 L2 because aabab bbabaa aababbbabaa Prove or disprove that Turing recognizable languages are closed under the divide operation Answer 6 Let L1 and L2 be two languages (a) Define the exclusive or (XOR) operation as L1La xl either x L1 or x L2 but not both) Prove or disprove that Turing recognizable languages are closed under the XOR operation Answer (b) Define the divide operator as L L2 (al L1 for some y L2 To illustrate the divide operator, suppose that Li w is a palindrome) and that L2 w w has even number of a's and b's Since aababbbabaa E L1 and bbabaa E L2 then aabab E L1 L2 because aabab bbabaa aababbbabaa Prove or disprove that Turing recognizable languages are closed under the divide operation

Question

6  Let L1 and L2 be two languages  (a) Define the exclusive or (XOR) operation as L1La    xl either x L1 or x L2 but not both) Prove or disprove that Turing recognizable languages are closed under the XOR operation  Answer  (b) Define the divide operator as L L2 (al L1 for some y L2  To illustrate the divide operator, suppose that Li    w is a palindrome) and that L2   w w has even number of a's and b's   Since aababbbabaa E L1 and bbabaa E L2 then aabab E L1 L2 because aabab  bbabaa   aababbbabaa Prove or disprove that Turing recognizable languages are closed under the divide operation Answer  6  Let L1 and L2 be two languages  (a) Define the exclusive or (XOR) operation as L1La    xl either x L1 or x L2 but not both) Prove or disprove that Turing recognizable languages are closed under the XOR operation  Answer  (b) Define the divide operator as L L2 (al L1 for some y L2  To illustrate the divide operator, suppose that Li    w is a palindrome) and that L2   w w has even number of a's and b's   Since aababbbabaa E L1 and bbabaa E L2 then aabab E L1 L2 because aabab  bbabaa   aababbbabaa Prove or disprove that Turing recognizable languages are closed under the divide operation

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Question

6. Let L1 and L2 be two languages. (a) Define the exclusive-or (XOR) operation as L1La = {xl either x L1 or x L2 but

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