Concepts and Applications of Finite Automata Theory of Computation IT Assignment Help
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Assignment Task
Task
1.Uderstand the concepts and applications of finite automata.
2.Understand and reason about the concepts of language grammars, and regular expressions in computer programming
3.Use computational complexity theories such as P, NP and NP-Complete to analyse the efficiency of algorithms
Answer the following questions:
1.Consider the language L of all strings made of the symbols a, b that have at least length of three symbols and whose first and last symbols are different.
a.Construct an FA whose language in L.
b.Give an RE for the language in L.
c.From the RE, build a Context-Free Grammar (CFG) for L.
d.From the FA, build a regular grammar for L.
2.For the language L ? {0,1}, find a regular expression representing the following:
a.All strings that do not begin with 11
b.All strings that every appearance of 0 is followed directly by a 1.
5. Draw or describe the following Touring Machines (TMs) as required:
a. Draw a TM that copy the input string in a reverse order, separating the first copy from the second copy by a special symbol for example the input string on tape is 1000, the TM should end with 1000$0001.
b. Draw a TM that compute the addition of two binary numbers, for example the input string on tape is 101$111, the TM should end with 1100
c. Describe in your own words how TM works in section b (TM that compute the addition of two binary numbers)
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