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Regular expression a/b denotes which of the following set?

{a}

{

{a,b}

{ab}

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In regular expressions, the operator

Concatenation

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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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                3.
                The lexical analysis for a modern language such as Java needs the power of which one of the following machine models in a necessary and sufficient sense?
            

            
                                                            
                            
                            A
                            
                                Finite state automata                            
                        
                                            
                            
                            B
                            
                                Deterministic pushdown automata                            
                        
                                            
                            
                            C
                            
                                Non-deterministic pushdown automata                            
                        
                                            
                            
                            D
                            
                                Turing machine                            
                        
                                                

            
                Correct Answer: A
                Initially in lexical analysis the program is divided into tokens. Tokens can be expressed as regular expressions: [a-zA-Z] [a-zA-Z0-9]*
the keyword if is given by if.
Integers are given by [+-]? [0-9]+.
            
        

        
            
            
                            
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                4.
                The definition of a language L with alphabet {a} is given as following. L = { ank | k > 0, and n is a positive integer constant} What is the minimum number of states needed in a DFA to recognize L?
            

            
                                                            
                            
                            A
                            
                                k+1                            
                        
                                            
                            
                            B
                            
                                n+1                            
                        
                                            
                            
                            C
                            
                                2n+1                            
                        
                                            
                            
                            D
                            
                                2k+1                            
                        
                                                

            
                Correct Answer: B
                Note that n is a constant and k is any positive integer. For example, let n=3, then the DFA must be able to accept aaa, aaaaaa, aaaaaaaaa, , .. build such a DFA, 4 states are required.
            
        

        
            
            
                            
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                5.
                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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