Consider the family of Grammar G(n) defined by: S- A;b¡ A¡→ a,A¡ / (1 <= i <= n) (1 <=j

Q: Given a regular grammar G = {{S, T, a, b}, {a, b}, R, S}, where R = {S→ E, SaT, S → bT, T → aS, T →…

A: The provided regular grammar εG={{S,T,a,b},{a,b},R,S}, where R={S→ε,SaT,SbT,TaS,T→bS}, generates…

Q: Given L ={ambn | m< n }. Derive (i) a context-free grammar that accepts L (ii) a PDA accepting L by…

A: i) a context-free grammar that accepts L given :  L ={am bn | m&lt; n }. so, m need to less then n ,…

Q: Give an unambiguous grammar for language L(G); using G defined below.

A: The derivation in a CFG can be represented using trees. Such trees representing derivations are…

Q: L = { w ? { a, b, c, d }*| na(w), nb(w), nc(w), nd(w) ≥ 0, na(w)+nc(w)+nd(w) < nb(w) } Is L a…

A: The Pumping Lemma for Context-free Languages is a belonging that context-free languages have to…

Q: Consider the following grammar G: S→ XZ x→ abXba |e |Y Y> cYd|cd z> abz| € a. True or False? If…

A: Theory of Computation is the subject that started the basics of computer science. It is from this…

Q: G= ({S, A, B, C}, {a,b,c}, S, P) where P S → AB A AB|CB| a BAB b CAC C

A: NPDA stands for non-deterministic pushdown automaton. It is basically a type of computational model…

Q: (1) {w € [a, b]*: w contains at least one instance of aaba, bbb or ababa} Testing strings: €, a, b,…

A: In this question we have to design a NFA design where a language us provided which should have at…

Q: The following grammar G generates numbers in binary notation. C --> C 0 | A 1 |0 (C is the start…

A: Proved the given languages equivalent

Q: Consider the following Grammar G= S>0S1S | 1S0S | A Which of the following sentences are in the…

A: the language generated by above grammar must have equal no. of 0's and 1's. (A) Since, no. of zeroes…

Q: What can be claimed about the grammar G: {S → alaRb, R→b|bSa }? A. G is a context-free grammar and…

A: Note: context free grammar has only following type of rules in it: A-&gt;(T + N)* where A is…

Q: Give a grammar in Chomsky's Normal Form for the following CFG. S → (S,S) | X X → YX | Y Y → a | ∈

A: ANSWER:-

Q: Giventhegrammar B-> BB | (B) | ε 1.Describe the language it generates 2.Show that it is ambiguous

A: 1. The language generated by the given grammar is L={ε, ( ) , (( )) , ( ) ( ), ((( ))) , (( ))((…

Q: Show that the language C = {a*b?"a"} is not context-free using the pumping lemma for context-tree…

A: Pumping Lemma for Context-free Languages (CFL)In any CFL, there must be two substrings that can be…

Q: Show that L= {a": n>4} is regular. Show that the language L= {a": n> 0,n± 4} is regular.

A: ANSWER:-

Q: Given a context-free grammar G = {[S, a, b}, {a, b}, R, S}, where R = {S→ aSb, S→ bSa, S→SS, S→ € },…

A: In this question we have to understand about the context free grammar and select the correct…

Q: Derive the string a*(ab+10) from G:

A: Solution - In the given question, we have to find the Left most and Right most derivation for the…

Q: L = {(a^n)(b^m)(c^k) ; n = m or m ≠ k }

A: The question asks to create a context-free grammar for the language L, which consists of strings of…

Q: (k) L= {w: na (w) ≤n₂ (w)}. Construct npda that accepts the following language on

A: Given language is, L= {w : na(w)&lt;nb(w)} Set of input alphabets= {a, b} The language accepts the…

Q: Q4: Let Σ = {0, 1, #} and define a language B over Σ as follows: B = {r#s: r,s = {0, 1}^*, r is a…

A: The task is to prove that the given language is not context free.Given :Σ = {0, 1, #} Language…

Q: Consier a set of simbols E= {a,b}, (1) Find all strings in E* shorter than 3. (2) Let L = {2 , a,…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Grammar A -> aB B -> bB, B -> aX CaX X →>bX X ->2 (111) AaA, A → cB. A -> bX BbB. BaX. A -> 2 X -> 2…

A: Grammar: Grammar is a finite set of formal rules that generate syntactically correct sentences. The…

Q: a context free grammar G accepting the same language as FSA

A: Given :- In the above question, a context free grammar G accepting the same language as FSA along…

Q: Find a context-free grammar for each of the following languages over the alphabet {a, b}. (N: the…

A: Context-free grammar  (CFG) is a formaL sentence structure which is utilized to produce every one of…