Problem 1 Find a context-free grammar that generates the following language. L = {0ʻ1³2* : i+k 2j and i,j, k > 0} %3D Problem 2 Design a pushdown automaton for the same language.

Q: (b) The set of all strings over the alphabet {a, b} where the number of b's is at most one greater…

A: Given:   Set of all strings over the alphabet {a,b} where the number of b's is almost one greater…

Q: Convert the following context-free grammar into an equivalent context-free grammar in Chomsky Normal…

A: Solution:   Given,                  CFG is- S → ABAA → BAB | B | εB →  00 | ε

Q: Provide the rules for context-free grammars that generate the following languages. L5 = {aibjck |…

A: Context-free grammars are formal systems used to describe languages in a structured manner. In this…

Q: Let L be the language [a^i b^2i a^i | i >0}. a) Construct a context-sensitive grammar G that…

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Q: Problem #6: Show that the following grammars are ambiguous by demonstrating two different parse…

A: I have given handwritten answer. see below step for explanation.

Q: Define context free grammar and write context free grammar for the languages, (1) ) L={a'bick li+j =…

A: The Answer is

Q: 5. Is the following language A context-free? You either show that A is context-free by giving a…

A:

Q: This question is about context-free grammars and parsing, and Turing machines (TM’s).  Question 1)…

A: Consider the following context-free grammar G over the alphabet Σ = {a, b, c}: S → aSb | ε | acSba |…

Q: Problem #6: Show that the following grammars are ambiguous by demonstrating two different parse…

A: The solution for the above given question is given below:

Q: Use the logic in the program below to design a Recursive Descent parser in C for the following…

A: Answer: We have done some modification in your code in the line 70 to 75 and it working perfect for…

Q: Let L = { w ∊ {a,b,c}*:  w has a substring ‘aa’ and a substring ’ab’} Find a NFA for L Give a…

A: Here, we are given language L and asked the NFA, regular expression and right linear grammar for it.…

Q: Problem #6: Show that the following grammars are ambiguous by demonstrating two different parse…

A:

Q: Convert the following grammar into Chomsky Normal Form, S→ aB|bA A BAA| S|a B→ aBB|bS|b.

A: The Answer is

Q: Greibach normal form grammar

A:

Q: ormal Form grammar for this language is: S -> aB B -> bC C -> aCb | ε

A: Let L = {aibjak | i + j = k }. A Greibach Normal Form grammar for this language is: S -> aB B…

Q: Convert the following context-free grammar into an equivalent context-free grammar in Chomsky Normal…

A: Chomsky Normal Form: The generation is of the form A → BC or A → a, where A, B, C are variables and…

Q: Give a context-free grammar for each of the following languages. a. L={a"b"c* In, m, k >0 and n =…

A: Given:

Q: diagram of a pushdown automata that is equivalent to the following grammar: S + 1s1 |0|€

A: Pushdown automata  of the given grammar

Q: : Consider the following Operator Grammar: E-> E + E|E*E| (E) | id Show the actions of Operator…

A: Operator precedence parsing is a method used to parse mathematical expressions based on the…

Q: 3) Let L = {w | w e {0,1}* and w does not contain 011 as a substring}. a) Draw the deterministic…

A: Here, we are going to draw a DFA for given language L and also find the regular grammar (Type 3…

Q: Construct a context-free grammar that generates all even- ngth strings of character a (e.g. aa,…

A: Constructed a context-free grammar that generates given languages

Q: S-> AaAb|BbBb A--> e B- ->e.

A: The Answer is in Below Steps

Q: Given the context-free grammar S-> aB | bA A-> as | bAA | a B-> bS | aBB | b a. Give a left-most…

A: Solutions to a, b, c are given below :

Q: Find context-free grammars for the following languages (with n ≥ 0, m≥ 0, k≥ 0): (a) L = {abck: n =…

A: We are given a language L and we are asked to find the equivalent context free grammar. Context free…

Q: You are given the following context-free grammar: S → EGF H E → eE | e F → f | E G → g H → hH | hh |…

A: i am permitted to give only one answer from a question.hence,i am giving answer of first…

Q: The following grammar is an indirect left recursive grammar S→ Bb a B→ Salb Strings of the language…

A: Detailed answer show blownExplanation:. This can cause problems for parsers, as they can get stuck…

Q: Find a CFG that generates the language : L = {a ibj c jd i : i, j ≥ 1} and Transform the grammar of…

A: We are going to convert a given context free language into context free grammar and then we will…

Q: Transform the following grammar to a grammar without left-recursive rules. S — A| В А — ААА | а | В…

A: Assume that the set of all A-productions has the form   A    A  |  A  |   ....A  |    |    |…

Q: Design a non-recursive predictive parser for the following grammar. S-> AaAb|BbBb A---> e B-…

A: The Answer is

Q: 1. Give a context-free grammar that generates the language A = {a'blck | i jor j = k where i, j, k ≥…

A: A CFG is a formalism which is used in computer science and linguistics to describe the context-free…

Q: Prove that each of the following languages is context-free by constructing a context-free grammar…

A: Context Free Grammar: A grammar contain a context free grammar then it must be a context free…

Q: a. Describe the language over E= {a,b} generated by the following grammar %3D P = {S= aXb, X = aX|bX…

A: as per our guidelines we are supposed to answer only one question. Kindly repost other questions as…

Q: grammar that generates the language L = {anbmambn |n, m ∈N}. List all variables (non-terminals) and…

A: Consider the given grammar : L = {anbmambn |n, m ∈N}.

Q: In this problem you are provided with a CFG/BNF and you are to determine which of the following…

A:

Q: 2. Given the following grammar: S -> SS | aSb | bSa | λ a) Prove this grammar is ambiguous b)…

A: In computer science, formal languages are used to represent the structure and syntax of programming…

Q: . Consider the following context-free grammar with start symbol S, nonterminals {S, A, B, C}, and…

A: The question asks to compute the FIRST and FOLLOW sets for each nonterminal in a given context-free…

Q: Find context-free grammars for the following languages: (2 × 4) (a) L = a n b n , n is even

A: A context-free grammar for L is G = ({S}, {a, b}, S, S → aaAbb|aaaaSbbbb)

Q: Give a context-free grammar for a context-free language. Let L be the language of all algebraic…

A: Precedence:- Operator with highest precedence is written on lowest level in grammar it means…

Q: Give a context-free grammar for each of the following languages: a. L1 = {a"b³mc+, n, m 2 0} , E=…

A: a. L1 CFG: S-> aaSc | B | epsilon B-> bbbBc | epsilon As we know The string can be with only…

Q: Problem #6: Show that the following grammars are ambiguous by demonstrating two different parse…

A:

Q: Q1: Provide context-free grammar that creates the following languages using PDA. (a) { w ∈ {0, 1}∗…

A: Context free grammar : has only following type of productions : A -> (N+T)* where A is non…

Q: Pumping lemma Show that the language l is not context free {L = xxyya+1xb+1|a,b=>1}

A:

Q: Provide the rules for context-free grammars that generate the following languages. L3 = {w ∈ {0, 1}…

A: The language L3 is a set of strings consisting of 0's and 1's. To generate this language using a…

Q: Find a regular grammar that generates the language L ((aaab*ab)*).

A: A regular grammar can be either a right-linear grammar or a left-linear grammar.