Q. Let A = {wtw* | w.t are strings over the alphabet {0,1,2} and |w|=|4|}. Prove that A is not a context-free language. Use pumping lemma. Note, that without requirement |w=|t| this language would be context- free, so the counterexample string must be chosen carefully.

Q: Build a deterministic and complete PDA for the language over the alphabet Σ={a,b} that consists of…

A: Yes, here is a methodical way to construct a deterministic and comprehensive PDA for the language of…

Q: 3. Show that the following language A is not regular using the pumping lemma. {0n1m+nom | m, n >0} A…

A:

Q: language L = {a i b j c k | i 6= j, j 6= k, i 6= k}; it is not a context- free language. Show that…

A: Given : L = {a i b j c k | i == j, j== k, i == k};

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

A: set of symbols = {a,b,c}

Q: Please give me the proper answer with step by steo solution Qns: Consider the CFL: L = {w | w is a…

A: Introduction: In computer science, a pushdown automaton (PDA) is a type of automaton that reads an…

Q: Build a deterministic FA Ms for the following language Ls= L(Ms) = {x over {a, b}| if x contains…

A: Deterministic Finite Automata(DFA):DFA consists of Q - finite set of states∑ - input symbolq0 –…

Q: Let E = a(a + b*) + b be a regular expression over the alphabet Σ = {a,b}. Use the template method…

A: The Answer is in given below steps

Q: Please written by computer source Design an NFA over Ʃ = { 0, 1} that accepts language L for which…

A: Given that, Set of input alphabets Ʃ = { 0, 1} The language L contains the strings that starts and…

Q: Consider the language of all strings which contain two consecutive 0 that ? = {11, 111, 110, 011,…

A: We need to find a RE for all strings which contain two consecutive 0.

Q: Q5. Let XDFA = {(A)| A is a DFA and L(A) is an infinite language}. Show that XDFA is decidable.

A: Given Statement:- XDFA = {(A) | A is DFA and L(A) is an infinite language} To prove:- XDFA is…

Q: the first b. 3.The last symbol of the string is d. 4.Each a is immediately fo

A: Let L be the language over {a, b,c,d} accepting all strings so that: 1.All c’s occur before the…

Q: Consider the language of all strings which contain two consecutive 0 that ? = {11, 111, 110, 011,…

A: Hellostudent  I am giving this solution as per my best of knowledge  Please  do upvote for me

Q: Give a decision procedure (algorithm) to answer the question: Given a FA M accepting a language L…

A: Given :- Give a decision procedure (algorithm) to answer the question: Given a FA M accepting a…

Q: Consider the language L = {a'b'c* | i # j,j # k, i # k}; it is not a context- free language. Show…

A: Pumping lemma for CFL is used to prove the language is not cfl using some valid string s.  Never use…

Q: Proof that the language L1 = {a' b' c¹ | i≥ 1} is not Context Free.

A: The Answer is in step-2.

Q: Q5. Let XDFA = {(A)| A is a DFA and L(A) is an infinite language}. Show that XDFA is decidable.

A: Answer :-

Q: A palindrome is a string that reads the same backward as forward, i.e., w = wR. A palindromic…

A: Hey there, I am writing the required solution of the questin mentioned above. Please do find the…

Q: For languages A and B over E, define the language A ÷ B as follows: A÷ B = {w E E* : there exists x…

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

Q: abb and bab. Note that the substrings ca

A:

Q: If A is any language, let A 1/3 – 1/3 be the set of all strings in A with their middle thirds…

A: the answer is given below:-

Q: Give a decision procedure for each of the following problems; argue that your procedure is correct:…

A: Below i have analysed both the question and provided answer with reason:

Q: Please use the pumping lemma to prove, thank you every much. Points Consider the following…

A:

Q: consider the language L = {a^f b^g|f<g} on albhabet E = {a,b}. Show that L is not reguar. %3D

A: The answer is

Q: Show that the family of context-sensitive language is closed under reversal.

A: Consider that the Language L is a CFL. This means that there is a grammar G={N,?,P,S} that satisfies…

Q: 2. Let RE be the set of regular expressions over alphabet E = {0, 1}, and for r E RE, let L(r) be…

A: Regular Expressions Just as finite automata are used to recognize patterns of strings, regular…

Q: Let B be the language defined as follows: B = {www we {a, b}*} Suppose B is a regular language. Let…

A: FALSE STATEMENTS ARE GIVEN BELOW

Q: A language L is called slithy if it contains at least two strings and has the following property:…

A: The answer to the question is given below:

Q: ] Let L be the language Problem 3 over the alphabet E= {a,b, c, g} that contains ex- actly those…

A: Given Language is, L=gmcnbm+n+2a3k+1 This language is Context free language. Because it can be…

Q: Find CFGs that for these regular languages over the alphabet Σ = {a, b}. Draw a Finite Automatafirst…

A: Let's tackle each of these languages one by one.(a) Language of all words containing the substring…

Q: Let E = {a, b, c}. Use the Pumping Lemma to show that the language L defined below is not regular:…

A: The pumping lemma to show that the language L is not regular

Q: 1. Prove that in the alphabet Σ = {a,b}, the language A = {w/w has the form a"b" a" for some…

A: A language is defined as a set of strings of symbols that may be constrained by specific…

Q: Let Σ = {a, b, c} and f : Σ∗ → Σ ∗ the function that for input w yields the string obtained by…

A: According to the question, we have to prove that if L is a regular language, then so is {f(w) | w ∈…

Q: Assume that we want to use the Pumping Lemma to prove the language L is not a regular language. Here…

A: The objective of the question is to use the Pumping Lemma to prove that a given language L is not a…

Q: Let A be a language such that A ≤m PCP and ETM ≤m A. What can you say about A? Briefly explain your…

A: ans is given beolw step

Q: d. L = {ww | the same string back to back, >= {a,b,c}} Prove that the given language is not…

A:

Q: Let D = { w#u|where w and u are strings over {a, b} and |w| = 1.5 * |u|3. If D is a context-free…

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

Q: Define a Prolog predicate project/3 that selects elements from a list by their position and collects…

A: Base Case: Define the base case for the predicate project/3. When the list of positions is empty,…