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- See the image. a.Construct a context-free grammar generating C.Explain how your construction accounts for each rule. b.We could eliminate one rule from Cand make it regular. Which rule would that be, and why would it work? You do not need a formal proof, but you do need an explanation.Provide a (CFG) context-free grammar that generates the following language of all strings over alphabet {0,1} with twice as many 0's as l's. i.e: strings 001010, 110000, 010, 100, 010001 are in this language, while strings 0110, 1, 0, 0000000001 are not. Prove that your grammar is correct.I want a solution from a professor in software engineering
- You are given the following context-free grammar:S → EGF HE → eE | eF → f | EG → gH → hH | hh | eQUESTIONS:1. Convert the grammar into the Chomsky normal form(show all steps of the conversion).2. Use the CYK algorithm to check if the word egehh is inthe language of the grammar.Give context free grammar for the following :a. Write a BNF grammar for the language consisting of strings built only of the letters a and b. The strings may have any number of these letters, but the letter combinations bb must be in each string somewhere, and each string must start with a aa. For example, the strings aaabbabbba, aaaababba, and aababbabb are in the language, while a, bba, ababb, aabaa, and bbaa are not. b. Draw the parse tree for string aabbaaba according to the previous grammar: c. Describe, in complete English sentences and “layman’s terms,” the language defined by the following grammar in BNF (start symbol is <S> ): <S>::= <A>a|<B>b <C>::= c <A>::= a<A>a|<C> <B>::= b<B>b|<C>
- Convert the grammar into Greibach normal form. In addition, please show what you did to get the answer on paper or by typing it. Grammar:S →aSb | ab | bbWhat can be claimed about the grammar G: {S→ alaRb, R→ b|bSa }? OA. G is a context-free grammar and L(G) is a context-free language. B. G is a context-free grammar but L(G) is actually a regular language. O C. G is a regular grammar and L(G) is a regular language. What can be said about the grammar G: {S → ORO|OR1|1RO|1R1, R → E|OR|1R }? OA. G is a context-free grammar and L(G) is a context-free language. B. G is a context-free grammar but L(G) is the regular language (0+1)²(0+1)* C. G is a regular grammar and L(G) is the regular language (0+1)(0+1)*For the implementation of several compilers, it is important to understand which requirement compilers should satisfy. Explain three requirements that compilers should satisfy. Left-most, right-most and mixed derivations are often used to generate context-free grammars. A context-free grammar G has the production rules: S aSS S b Generate the word aababbb using left most derivation.