How can it be proven that the Kleene's T predicate is primitive recursive?











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I have a function that is written in terms of the Kleene's $text T$ predicate. the function is:



enter image description here



I need to show that the function is primitive recursive. in order to do that, I need to show that the Kleene's T predicate is primitive recursive. I've tried but I've failed. the failed effort was to say that the function gives the value by a turing machine in a specific configuration or it gives 0 hence it is primitive recursive. My professor said it is wrong. Can anybody help how it can be shown that the T predicate is primitive recursive?










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    up vote
    0
    down vote

    favorite












    I have a function that is written in terms of the Kleene's $text T$ predicate. the function is:



    enter image description here



    I need to show that the function is primitive recursive. in order to do that, I need to show that the Kleene's T predicate is primitive recursive. I've tried but I've failed. the failed effort was to say that the function gives the value by a turing machine in a specific configuration or it gives 0 hence it is primitive recursive. My professor said it is wrong. Can anybody help how it can be shown that the T predicate is primitive recursive?










    share|cite|improve this question


























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I have a function that is written in terms of the Kleene's $text T$ predicate. the function is:



      enter image description here



      I need to show that the function is primitive recursive. in order to do that, I need to show that the Kleene's T predicate is primitive recursive. I've tried but I've failed. the failed effort was to say that the function gives the value by a turing machine in a specific configuration or it gives 0 hence it is primitive recursive. My professor said it is wrong. Can anybody help how it can be shown that the T predicate is primitive recursive?










      share|cite|improve this question















      I have a function that is written in terms of the Kleene's $text T$ predicate. the function is:



      enter image description here



      I need to show that the function is primitive recursive. in order to do that, I need to show that the Kleene's T predicate is primitive recursive. I've tried but I've failed. the failed effort was to say that the function gives the value by a turing machine in a specific configuration or it gives 0 hence it is primitive recursive. My professor said it is wrong. Can anybody help how it can be shown that the T predicate is primitive recursive?







      logic






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      edited Nov 17 at 9:30









      Mauro ALLEGRANZA

      63.6k448110




      63.6k448110










      asked Nov 16 at 21:09









      jadenperesl

      11




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