Finite Automata and Regular Languages - Computer Science Assignment Help

Assignment Task

The 4 questions are described in detail in the attachment.

Learning Outcomes Assessed

- Use standard methods for proving mathematical properties.

- Understand the basic rules of classical logic. - Use propositional logic to simplify Boolean circuits.

- Understand the application of formal languages and automata theory to problems in computer science.

- Demonstrate an understanding of formal languages and automata.

- Explain the notion of undecidability and its importance for computer science.

- Explain the basic concepts from complexity theory

ANSWER ALL PARTS OF ALL FOUR QUESTIONS. Each question is worth 25 marks and the number of marks available for each question part is indicated.

Question 1: Finite Automata and Regular Languages (a) The following is a state diagram of a deterministic finite automaton (DFA) M1:

(i) Give a formal description of M1, writing down clearly the set of states, alphabet, transition function, start state and accept states of M1.

(ii) What sequence of states (including the start state) does M1 go through on input 0001?

(iii) Describe in plain English the language recognised by M1?

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