There are two key steps in using Pumping lemma to prove a language to be nonregular: pick w and i such that we can make proof reasoning easier and correct to lead to a contradiction. When we try to prove the following language L to be nonregular using Pumping lemma, L = {w∈Σ*, na(w) < nb(w)}, we pick w = ambm+1, then we should pick i =  ______. Group of answer choices   A)2 B)0 C)1

Q: Prove that the following language A is decidable (e.g., give a TM that decides A). A = {⟨M⟩ | M is…

A: We will prove that language A = {⟨M⟩ | M is an NFA and L(M) = B}, where B is a regular language, is…

Q: the Regular language pumping lemma to

A: Proved the given language is not regular language using pumping lemma

Q: If the languages are regular, give an automaton. Otherwise, show it is not regular by using pumping…

A: Below is the complete solution with explanation in detail for the given question about the proof…

Q: a. L= {x€{a, b, c }* | na(x) < n»(x) and na(x) < nc(x) }, where n(x) is the number of occurrences of…

A:

Q: Let L = {w#w | w ∈ {a, b}*} be a language. Use the pumping lemma for regular languages to prove that…

A: L = {w#w| w∈ {a, b}*} string generated by this languageare aaab#aaab, babb#babb proof: If possible…

Q: Using the Pumping Lemma (for context-free languages), prove that the following language over E = {a,…

A: Suppose aibjck : k≥j≥i≥0 is context free Let S=apbpcp The pumping lemma says that for some split…

Q: Language L: S->A | AX X->АBY | AB Y->ABCY | ABC ВА -> АВ СА -> АС СВ -> ВС A->a B->b C->c Question…

A: Answer: I have given answer in handwritten format.

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: L1) The set of all string except those containing substrings 001.

A: L1) We can draw a set of all strings containing 001 as a substring and then take its compliment. K={…

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: 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: Prove that the following language is undecidable by giving a reduction from a known undecidable…

A: SOLUTION: The language to show undecidable is  EQCFG=G,HL(G) = L(H). Consider the following…

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: 3. Consider the languages L= { ba" a b" | n > 0 } a.) Use the Pumping Lemma for Regular Languages to…

A: According to the Bartelby guidelines we are suppose to answer one question at a time. Kindly repost…

Q: Question 3. Consider the language L = {w€ {0, 1}* | the strings 01 and 10 occur the same number of…

A: Given language is, L={w ∈{0,1}* | the strings 01 and 10 occur same number of times in w} Pumping…

Q: e394 Pumping Lemma for Regular Languages Here are three incorrect statements of the Pumping Lemma…

A: Below is the complete solution with explanation in detail for the given questions regarding Pumping…

Q: Prove that the following languages are not regular using pumping Lemma. 1. A1 = {a²b²+¹} 2. A2 =…

A: Regular languages Pumping Lemma states that if the infinite language has to be accepted by a finite…

Q: Think about the concept of extended transition functions δ* and ∆* of Deterministic Finite Automata…

A: Think about the concept of extended transition functions δ* and ∆* of Deterministic Finite Automata…

Q: Question 1 Use the pumping lemma to prove that the following languages are not regular: {uvu : u ∈…

A: Solution- L = {uvu : u ∈ {a, b} ∗ , v ∈ {a, b} ∗} Let us assume Language L to be regular. Then there…

Q: Prove that the following language is undecidable by giving a reduction from a known undecidable…

A: Actually, the given information is: ????? = {⟨?, ?⟩ | ? ??? ? ??? ???? ???? ???? ?(?) = ?(?)}Hint:…

Q: 10. a. Define clearly but completely: Language L is decidable. b. Let ALLDFA = {M: M is a DFA and…

A: A language L is decidable or recognisable if a Turing machine that recognises (decides) that…

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: Select the following statements that are true. A NFA with 5 states can be converted to an equivalent…

A: Let's analyze each statement:A NFA with 5 states can be converted to an equivalent DFA with 32…

Q: Prove that the following language is not context-free using pumping lemma: {xmy"xm| m >n + 1 > 0}…

A: Pumping Lemma for CFL states that for any Context Free Language L, it is possible to find two…

Q: Problem 3 For a language LCE*, define odd(L) := {w E L : w| is odd} (a) Show that if L is regular…

A: Every finite set represents a regular language. Example 1 – All strings of length = 2 over {a, b}*…

Q: L* is regular, then L must be regular. For any language L, L* must be regular If L1L2 is regular,…

A: Note As Per over guidelines we will solve three sub part remaining sub part post separately i did 2…

Q: (a) L = {all words with exactly one b}. (b) L = {all words with at least one a}. (c) L = {all words…

A: For the alphabet Σ ={a, b}, construct an FA that accepts the following languages.(a) L = {all words…

Q: each of the following languages determine whether the given language is regular or not. Justify your…

A: Let 'L' be any regular Language then there exists an integer 'N' such that for all Z ∈ L  with…

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: Use a closure operation to reduce the language L of all even-lengthed strings of as and bs where…

A:

Q: Prove that the following language is non-regular, using the Pumping Lemma. L = {ambcr | m, n, r =…

A: The pumping lemma is a fundamental result in formal language theory that provides a way to prove…

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

A:

Q: P1 = { | ∀w ∈ {a, b}* : M accepts w if and only if it accepts aw} P3 = { | there is a word w ∈ {0,…

A: Given, M accepts w if and only if it accepts aw. that means for every word w, a is a prefix of w,…

Q: Prove that the language below is not regular using pumping lemma  {w€{0,1} number of 0s in w is…

A: Answer:    the language consists of strings which has the number of 0's is twice the number of 1's.…

Q: context-free

A: true

Q: Show that the following language is decidable by giving a high-level description of a decio L(M) =…

A: ALLDFA = {  | D is a DFA and L(D) = Σ* }   Input: DFA D 1. Find the set of all reachable states from…

Q: Build a deterministic FA M3 for the following language L3 = L(M3)={x over {a, b}\x consists of…

A: Actually, DFA stands for Deterministic Finite Automata