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What is the relation between NFA-accepted languages and DFA accepted languages?

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A deterministic finite automation (DFA)D with alphabet ? = {a,b} is given below. Which of the following is a valid minimal DFA which accepts the same language as D?

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MCQ

Which of the following problems occur?

i) Does a given program ever produce an output?
ii) If L is a CFL, then is L



            
                                                            
                            
                            A
                            
                                i, ii, iii, iv                            
                        
                                            
                            
                            B
                            
                                i, ii                            
                        
                                            
                            
                            C
                            
                                ii, iii, iv                            
                        
                                            
                            
                            D
                            
                                iii, iv                            
                        
                                                

            
                Correct Answer: D
                i) Is a variation of Turing Machine Halting problem and it is undecidable.



        
            
            
                            
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                MCQ            
            
        

        
            
                3.
                Which behaviour of a NFA can be stimulated by DFA?
            

            
                                                            
                            
                            A
                            
                                Always                            
                        
                                            
                            
                            B
                            
                                Sometimes                            
                        
                                            
                            
                            C
                            
                                Never                            
                        
                                            
                            
                            D
                            
                                Depends on NFA                            
                        
                                                

            
                Correct Answer: A
                It can be done through power set construction.
            
        

        
            
            
                            
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                4.
                What is the complement of the language accepted by the NFA shown below? Assume ? = {a} and ? is the empty string.

            

            
                                                            
                            
                            A
                            
                                ?                            
                        
                                            
                            
                            B
                            
                                ?                            
                        
                                            
                            
                            C
                            
                                a                            
                        
                                            
                            
                            D
                            
                                {a, ?}                            
                        
                                                

            
                Correct Answer: B
                The given alphabet ? contains only one symbol {a} and the given NFA accepts all strings with any number of occurrences of 
            
        

        
            
            
                            
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                5.
                In regular expressions, the operator 
            

            
                                                            
                            
                            A
                            
                                Concatenation                            
                        
                                            
                            
                            B
                            
                                Selection                            
                        
                                            
                            
                            C
                            
                                Iteration                            
                        
                                            
                            
                            D
                            
                                Iteration                            
                        
                                                

            
                Correct Answer: C
                It indicates iterations which can vary from zero to any number.
            
        

        
            
            
                            
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