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Question 1 Suppose our alphabet is ∑ = {a, b}. Give a regular expression for the set of all strings with at least 3 occurrences of a. Give a DFA to recognize this language. You will be penalized for solutions that use more than 4 states.
Question 2 Show that the language consisting of as and bs appearing in any order, with the sum of number of as and the number of bs equal to a perfect power of 2 is not regular.
Question 3 Suppose that the alphabet is {a, b}.
Consider the language
L := {anbm |n = m mod 3}.
Is L regular? If so, construct a DFA to recognize it, if not, give a proof using the pumping lemma to show that it is not.
Question 4
Give an algorithm that takes as input a DFA and an NFA and decides whether the language recognized by the NFA is the language defined by the DFA. Use any algorithms covered in class as basic building blocks; i.e. you do not have to describe them
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:
What does it compute? Prove it, showing how you derive the loop invariant - Show that the grammar is unambiguous
Find a deterministic finite-state automaton that recognizes the same language as the nondeterministic finitestate automaton in Exercise.
UU-COM-3001 Computational theory Assignment Help and Solution, Unicaf University - Assessment Writing Service - Convert this NFA to a DFA using the method
Proof ogdens lemma with example - I am not able to undestand the meaning of distinguished position.
Explain why there are email addresses which are also employee identifiers. Give at least three examples and Explain why both of the strings gandalf
A state s' in a finite-state machine is said to be reachable from state s if there is an input string x such that f (s, x) = s'.
A proof should be made by using the reflexive, augmentation, transitive, decomposition, union, and pseudotransitive rules.
Model organisational information requirements using conceptual data modelling techniques - Convert the conceptual data models
Consider the LCG defined by m = 16, a = 5, c = 3, and Z0 = 7. Compute until Z19 and verify that when i = 16, the exact the same order will show up. Show all results in a table.
recent research has shown that a job and a competitive remuneration package are not sufficient for attracting competent
succession planning is an important od intervention and business sector succession planning-sometimes called workforce
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