Theorem: Let G=(V,T,P,S) be a right linear grammar. Then there exists a language L(G) which is accepted by a FA. i.e the language generated from the regular grammar is regular language. IE

Q: 1. Consider the regular grammar G given below: S → aS\aA[bB|X A → aA|bS B → bB|aS (a) Give a…

A: (b) Given : An infinte Language L is not a subset of L(G)   L = {wwR: w ∈/{a, b}*}. L is the set of…

Q: Find a regular grammar that generates the language on Σ = {a, b} consisting of all strings with no…

A:

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: g) A CFG(Context Free Grammar) is said to be in Chomsky Normal Form (CNF), if al1 the productions…

A: Introduction :Given , a CNF we have asked for the number of steps required to generate a string of…

Q: Given a regular grammar G and a list of strings, identify the strings that are in L(G).

A: The given grammar G is:S -&gt; aT T -&gt; bT | a | aW W -&gt; ε | aT aT T -&gt; bT | a | aW W -&gt;…

Q: 1) Grammar G is N→DIND D→0|1|2|3|4|5|6|7|8|9 What is the language L(G) specified by G? Write the…

A: Given Grammar is, N→D|NDD→0|1|2|3|4|5|6|7|8|9 In this grammar, N, D are variables.

Q: Find a context-free grammar for the set of all regular expressions on Σ={1,0}

A:

Q: Given the following regular grammar G: S➜ aA | aS www A → baB | aA www B → aA | b (a) Is this…

A: (a) This language is not right-linear because each production in a right-linear grammar must have…

Q: construct a pda that accepts the language defined by the grammar s → abSb|λ.

A: Constructing PDA:There are two states q and f. q is the start state and f is the final state. Here…

Q: Let L be a first-order language and let A be an L -structure. If s is a variable assignment function…

A: Answer :

Q: (2) Fill the proper words in the blanks: it can be accepted by a DFA. A language is context-free (i)…

A: Answer : Part 1 A language is regular if and only if it can be accepted by a DFA . A language is…

Q: Find the language L(G) generated by the grammar G with variables S, A, B, terminals a, b, and…

A: Solution:-

Q: Construct an npda that accepts the language generated by the grammar S → aSbb| abb

A:

Q: How would you prove that a formal language is not regular?

A: Option 1 is correct i.e Pumping Lemma is used

Q: Problem 2. Let A be a TM-recognizable language consisting of TM descriptions of deciders. Prove that…

A: A is a TM-recognizable language A consists of TM descriptors of deciders. To prove:- Decidable…

Q: Suppose that a PL permits only identifiers that begin with a letter, contain at least one but not…

A: Given: Give a BNF grammar for such a set of identifiers. Assume the following productions for…

Q: Consider the following context-free grammar defined by the tuple G and by the rules that appear in…

A:

Q: Construct a PDA that accepts the language defined by the grammar S abSb | 2.

A: A pushdown automata for the given grammar

Q: Give an example of a language L such that both L and its complement L are recognizable.

A: A language is called recognizable if some turing machine recognizes it. So to give an example of…

Q: Consider the grammar: S- AaAb | BbBa A- E B -. E Compute FIRST and FOLLOW for all nonterminals. Give…

A: Given Grammer: S→AaAb | BbBa A→E B→E

Q: A grammar G that produces more than one different parse tree for the same  sentence is said to be…

A: A grammar is said to be ambiguous if there exists more than one left most derivation or more than…

Q: 4) If L is a recursively enumerable (RE) language, then the strings in L can be accepted by a: 5) If…

A: Despite being recursively enumerable, all languages are accepted by the Turing computer. Enumerable…

Q: Draw a finite automaton M accepting the grammar S →bS | aA ,A→bA |a. Find the regular expression…

A: simple Process to convert given grammar to finite automate: -start symbol is initial state - convert…

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: Exercise 4 For each of the grammars in Exercise 3 except the last, give an unam- biguous grammar for…

A: Introduction of Formal Language: A formal language is a set of strings of symbols or characters…

Q: QUESTION 2 Consider the following FSA A (with e-transitions) over E (0, 1):

A: 2. In order to get CFG, the first step is to convert the given NFA with ε transition to NFA without…

Q: Find a regular grammar that generates the language L (aa∗(ab + a)∗). (so, find the NFA first, then…

A:

Q: Consider the grammar  X -->XY |  id Y --> id    Check whether the given grammar is LL(1) or not.…

A: Given grammar    X --&gt;XY | id Y --&gt; id

Q: Identify the language generated by context free grammar: S→(S) | () | SS.

A: The Answer is

Q: Let G be a context free grammar with one nonterminal and n rules. If G generates a finite mumber of…

A: Context free grammar  is a formal grammar whose production rules are of the form. with a single…

Q: (3) Give a grammar G= (V,E, S̟P), where V = {4,B,C},E = {a,b},S = A, P: A→ a4|bB,B → bC | aB,C → aB…

A: According to the value given in the question, we will solve all parts.

Q: For the grammar G with the productions: S -> a | c| S S s b Ciue

A: S -&gt; aSb | x | SS The answer is an given below :

Q: Show that the PDA constructed in Example 7.6 (attached file) accepts the strings aabb and aaabbbb,…

A: Solution:

Q: Consider the grammar X--> XY | id Y --> id Check whether the given grammar is LL(1) or not. K and Y…

A: to check the above grammar is LL(1) or not is detailed in step 2.

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: Let G be a Context-Free grammar which is in the Chomsky Normal Form. To check that this grammar…

A: The complete answer is below:

Q: (1) Grammar G is N →D|ND D 0|1|2|3|4|5|6|7|8|9 What is the language L(G) specified by G? Write the…

A: Given Grammar is, N→D|NDD→0|1|2|3|4|5|6|7|8|9 In this grammar, N, D are variables.

Q: 6. Construct a right-linear grammar for the language L ((aab∗ab)∗).(find the NFA first, then each…

A: Solution:   Given language is, L = ((aab∗ab)∗)

Q: Construct an npda that accepts the language generated by the grammar S → aSbb|abb

A: The grammar S-&gt; aSbb|abb. The solution is mentioned in the pictured, please check the image…

Q: 1. Deterministic Finite Acceptor (DFA) Find a dfa for the following language on E = {0,1} : All the…

A: find a dfa for language l={0,1} All string with exactly two 0's and more than two 1's

Q: Given the Regular Expression R=(0+1)*11   Give a regular grammar that generates the language L(R).…

A: To derive a regular grammar from the regular expression R = (0 + 1) * 11, we can start by breaking…