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Question: Devise a Turing machine with input given in unary notation (i.e., a string of n 1's denotes the integer n, and numbers are delimited by 0's) such that the machine produces the following output:
0 if x is divisible by 4
1 if x is congruent to 1 modulo 4
2 if x is congruent to 2 modulo 4
3 if x is congruent to 3 modulo 4
Demonstrate the state table for the machine.
I have noticed that there are several languages, is this because no one language has all the main elements needed to be a perfect programming Language?
Dynamic programming algorithm to compute a shortest superstring.
There are four processes that are going to share nine tape drives. Their current and maximum number of allocation numbers. Is system in a safe state? Explain why or why not?
Describe why every nonempty propositional clause, by itself, is satisfiable. Prove rigorously that every set of five 3-SAT clause is satisfiable, given that each clause mentions exactly three distinct variables.
Create a Mealy Machine which produces the output of 1 whenever discrepancy in above pattern is detected, and produces the output of 0 otherwise. Write states meaningful names.
Describe the difference between a Deterministic Finite Automata and Non-Deterministic Finite Automata. In general, which one is expected to have less number of states ?
We showed to prove that if L can be identified by DFA then the language left half(L) = {x ∈ ∑*|∃y xy ∈ L and |x| = |y|} is also regular; here |x| means length of x.
Suppose f is a function that returns the result of reversing the string of symbols given as its input, and g. What ambiguity exists in the statement x?
Show that the language F = {a^i b^j c^k | i, j, k greater than or equal to 0 and if i = 1 then j = k} is not regular. Show, however, that it satisfies the statement of the pumping lemma
Write a grammar for the language consisting of strings that have n copies of the letter a followed by same number of copies of the letter b, where n>0
Create a standard 1-tape Turing machine M to calculate the function sub3. Specifically, calculate sub3 of a natural number represented in binary.
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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