Give a context-free grammar for each of the following languages: a. L1 = {a"b³mc+, n, m 2 0} , E= (a, b, c} {a"b3m+m %3D b. L2 = {a"b"": 3n < m <4n, n> 0}: E = {a, b} %3D c. L3 = {a"b" ck, k = \n– m|. n, m, k 2 0}: = (a, b, c} %3D %3D d. L4 = (w E E; n, = na +1}: E= (a, b}

Q: 2. Convert the following CFG into CNF: [Show all 4 steps] → aSb | bY | BYC Y → bY | eps В — аС С — В

A: Since you have asked multiple questions, according to the company's policy we will solve only one…

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: 1. Give Context Free Grammar for the following languages L = {w\w € {a, b}*and w contains an equal…

A: This can be solved by making a grammar which allows to accept the string in any order but they…

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: Design a TM that accepts the following language L={w ∈ {a, b}* | na(w)=nb (w)} , where na(w)…

A: Given language is,  L={w ∈ {a, b}* | na(w)=nb (w)} , where na(w) indicates the number of symbol a’s…

Q: Give context-free grammars to generate the following languages: (a) L = {b"cm :n m + k} (c) L3 =…

A:

Q: Transform the following grammar into EBNF:     → begin end →              | ;        → =…

A: Solution :: Let's see first what is EBNF called ? Answer :: The EBNF is a way to specify a formal…

Q: 4. Consider the following languages. • ANFAFIN = {(N) |N is an NFA and L(N) is finite} • EREX = {(R)…

A: Answer:- No,All strings of the form 10n are contained in L(N) (in addition to other strings as…

Q: Prove that the following grammar is ambiguous: -> -> + | -> a | b | c

A: &lt;S&gt; -&gt; &lt;A&gt; &lt;A&gt; -&gt;&lt;A&gt; + &lt;A&gt; | &lt;id&gt; &lt;id&gt; -&gt; a | b |…

Q: 1) LR sets and parser Consider the following grammar describing Lisp arithmetic. Since all symbols…

A: Answer

Q: 2. Give context-free grammars generating each of the following languages over Σ = {0, 1}: a. {w: w…

A: Here, we are given few context free languages and we are asked to give context free grammars. First,…

Q: Write Grammars for the following languages: 1) L= { a" c" (bb)m : n 2 2, m >1}

A: *Multiple questions* As per our guidelines we are supposed to answer only one question. Kindly…

Q: Write a grammar for the following language. This language consists of strings that have n copies of…

A: Grammar : can be defined as the set of rules defined by the language.                   Grammar is a…

Q: We have a grammar for simple arithmetic expressions E→E+F|F | E F→ F*T T T→a | e a) Grammar is…

A: a) The grammar is ambiguous because it allows for multiple ways to derive the same string. For…

Q: Find context-free grammars generating each of the languages below. Hint: Use the practice CFG…

A: A grammar contain a context free grammar then it must be a context free language. Context free…

Q: Write a CFG to represent the expressions of a programming language with following characteristics:.…

A: GIVEN: Operators : + (addition), * (Multiplication) Alphabets: a, b Digits: 0, 1 Expression: S, this…

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: Consider a grammar for expressions is defined as follows: → = → A | B | C | D → + | * | (…

A: Please refer to the following step for the complete solution to the problem above.

Q: Build a grammar that generates the regular language denoted by the regular expression a*b* Build a…

A: A regular expression is a sequence of characters that specifies a search pattern in text.

Q: Given the grammar: E-> E + E|E*E| num Which of the following is true? O The grammar is unambiguous O…

A: This question belongs to Theory of automata and is related to types of grammar in automata.

Q: Construct a DFA that accepts the language Lover the alphabet E {0,1}defined as follows. L= {w: w…

A: DFA is also known as deterministic finite automata.

Q: Consider the following grammar: S --> aSb S --> Sb S-E Which of the following expressions can NOT be…

A: The given grammar describes a context-free grammar (CFG) for generating strings over the alphabet…

Q: 4. Consider the following languages. ANFAFIN = {{N) | N is an NFA and L(N) is finite} EREX = {(R) |…

A: Below is the answer to above question. I hope this will be helpful for you

Q: Give dfa's for the languages

A: Here ; we are given a language whose dfa we have to create: First we will see that our w belongs to…

Q: Find a context-free grammar for the following languages: a) L = {a"b™where n = m -1 and n 2 0 and m…

A: A grammar contain a context free grammar then it must be a context free language. Context free…

Q: (3) Write the grammars for the following languages. L= {a'b'c' n ≥ 1,i≥ 0} L₂= {a'b'c" |n≥ 1,i≥ 0}

A:

Q: 1) Write a context-free grammar that accepts the language anbmcn, n >= 0, m >= 1.

A: Note: Since you have posted multiple independent questions in the same request, we will solve the…

Q: Let E = {a, b, c}. Write a grammar that generates the language: %3D L = {c"ww" a":n > 0, m > 0, w E…

A: To do: Write a grammar that generates a language

Q: nguage L =

A:

Q: Rewrite the grammar below to eliminate left recursion. S-> S + A | A A -> A * B | B B -> (S) | id

A: Left-recursive Grammar: Grammar is considered as left recursive when the leftmost variable of any…

Q: 2 Context Free Grammars Produce the CFG for the following languages. Σ = {a,b). You do not need to…

A: Answer the above question are as follows

Q: Let E = {a, b}. For each of the following languages, find a grammar that generates it. (a) L, =…

A: Input, Σ=a, ba L1=an bm:  n≥0, m&gt;0  ∴L1=b,b,b,  b,b,b,‐‐‐‐,ab,abb,aabb,‐‐‐  ∴S→AB      A→aAb/bB/E…

Q: Assumptions ...   Alphabet = {a, b}   • L1 = { a"b" : n ≥ 0 ^ n mod 3 = 0}   L2 = {anbm : n ≥…

A: Note: i cannot upload the file here i will provide you solution and explanation

Q: he following is a grammar for JH-Lisp 2.1, modified version of the language you encountered in…

A:

Q: For each of the following languages L, give a regular expression that represents L and draw or…

A: a) below is the DSA

Q: 7) Give context-free grammars that generate the following languages. i) { w € {0, 1}* | the length…

A: We need to write CFGs for the given scenario.

Q: 3. Given the following BNF grammar: -> dc I c d -> a Ia -> b Ib Use the top-down recursive…

A: The answer is given below:-

Q: Write the context-free grammars for the following languages. 1. The set of strings of a's and b's…

A: as you asked for context-free grammar for given grammer now let's see the solutation of given…

Q: 2. Give a context-free grammar that generates the following language: k > 2, each x; E {a, b}*, and…

A: S -&gt; A | A#C | BB -&gt; aB | bB | #B | #ACA -&gt; aAa | bAb | #C -&gt; aC | bC | #B | epsilon