Let L = {w|w E {0, 1} and w does not contain 011 as a substring}.
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- Complete the following context free grammar for the following language. Please ASAPProblem 1: Write a regular expression that recognizes the following language over the alphabet {a,b}: Any string containing the letters a and b, where the number of letters is not a multiple of three. (Note that 0 is a multiple of three.) Your regular expression should contain only a and b, and the metacharacters (, ), *, +, ? and |. Problem 2: Write a context free grammar that recognizes language from Problem 1. Your start symbol should be named S.Given the language above, create a context free grammar for L
- 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>1. Use the algorithm described in class that takes a CFG and converts it into a CNF (Chomsky Normal Form) grammar that generates the same language as the original grammar, except possibly for the string A, to answer the following question. As part of your answer, you should say which variables are nullable, and you should give the appropriate grammar after each step of the algorithm. There are four steps. Give a CFG (context-free grammar) in CNF (Chomsky Normal Form) that generates the same language, except possibly for the string A, as the following grammar: SAB AB →bAa A → aaB bb
- FIRST set for CFG/grammar in C/C++. input is grammar , output is shown the first set. example input grammer : E -> TR R -> +T R| # T -> F Y Y -> *F Y | # F -> (E) | i Output :First(E)= { (, i, }First(R)= { +, #, }First(T)= { (, i, }First(Y)= { *, #, }First(F)= { (, i, } Assumptions : Epsilon is represented by ‘#’. Productions are of the form A=B, where ‘A’ is a single Non-Terminal and ‘B’ can be any combination of Terminals and Non- Terminals. L.H.S. of the first production rule is the start symbol. Grammar is not left recursive. Each production of a non-terminal is entered on a different line. Only Upper Case letters are Non-Terminals and everything else is a terminal. Do not use ‘!’ or ‘$’ as they are reserved for special purposes.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>Write the FIRST and FOLLOW sets for this grammar
- Exercise 2: Make a grammar G generating the language L = {a*+n+3 2*b" |n, k > 0}. %3D List all the Chomsky grammar classes having your grammar G as a member.d) Construct a type-3 grammar that derives the L₂ language. (You can use the A- intransitive diagram you found in b.) 5. Let the G, grammar be defined as follows: QILIAH Блязадоля до УТИБАЯ TO G₁VN,VT.P.S> UDAL VN: (S, A, B, CADA ESOSESOE VT: (0,1) P: SOS | 1A A OBAM B➡ OB | 15 | 1 H odmuinsbur2. a) What type of grammar is G₁? b) Construct the FA (finite automaton) model that recognizes the language derived from this grammar and draw the transition diagram.. HOITUD: Consider the following Operator Grammar: E -> E + E | E* E | (E) | id Show the actions of Operator Precedence Parser on the input (id + id * id) + id $