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a. Draw a Turing machine (using Sipser notation) having at least 4 nontrivial (i.e., nonrejecting) states and at least six nontrivial (i.e., not to the rejecting state) transitions.
b. Use set notation to define the language this machine recognizes. The language must be nontrivial (i.e., it must not be either the empty language or Sigma^* for some alphabet Sigma^*).
c. Give the binary encoding of this Turing machine two input strings: one in the language and one not.
d. For both of the strings in part c, give the contents of the tape of your universal Turing machine (from homework 8) at the time it halts when given the strings from part c as input.
Consider the language L = L1 ∩ L2, where L1 = {ww^R : w ∈ {a, b}* and L2 = {a^n b*a^n: n ≥ 0}. Write the first four strings in the lexicographic enumeration of L?
Express the following set as a regular expression: The set of all strings of length at least three over {0,1} such that every three consecutive.
Discuss the impact of Moore's law on data center costs on such things as servers and communications equipment. List at least 3 steps or recommendations your data center can take to offset some or all of the effect of Moore's law.
Argue that the following prob is NP Complete. Given list of positive integers, u1,u2,...un (in binary representation) and asked if there is partition of this set into 3 subsets, each of which has same sum.
How the problem would be encountered in attempting to represent the following statements in Predicate logic. it should be possible to: John only likes to see French movies.
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What does the term solvable mean to you? What does it mean to say that "you solved a problem"? Determine examples of problems for which you believe there are no solutions.
Dynamic programming algorithm to compute a shortest superstring.
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How many equivalence classes does this relation have and what are they? Use these equivalence classes to construct the minimal DFA for the language.
Write a program would read two numbers and then print all numbers between the first and the second, inclusive. Design unambiguous grammar to parse expressions
We know by rice's theorem that none of the following problems are decidable. However,are they recursively enumerable,or non-RE? IS L(M) infinite?
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