Chapter 0: Q3E (page 1)
Which of the following pairs of numbers are relatively prime? Show the calculations that led to your conclusions
Short Answer
(a)The pairsof numbersare relative prime.
(b) The pairs of numbers are not very prime.
Chapter 0: Q3E (page 1)
Which of the following pairs of numbers are relatively prime? Show the calculations that led to your conclusions
(a)The pairsof numbersare relative prime.
(b) The pairs of numbers are not very prime.
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Use the result of Problem 6.21 to give a function f that is computable with an oracle for ATM, where for each n,f(n) is an incompressible string of length n.
Consider the problem of determining whether a Turing machine on an input w ever attempts to move its head left at any point during its computation on . Formulate this problem as a language and show that it is decidable.
Read the informal definition of the finite state transducer given in Exercise 1.24. Give the state diagram of an FST with the following behaviour. Its input and output alphabets are . Its output string is identical to the input string on the even positions but inverted on the odd positions. For example, on input 0000111 it should output 1010010 .
Question: Answer all parts for the following DFA and give reasons for your answers.
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