Consider the CFG: S -> XYX X -> aX | bX | λ Y -> bbb Prove that this generates the language of all strings with a triple b in them, which is the language defined by (a + b)*bbb(a + b)*
Q: Let regular language L1 recognized by DFA (Q1,Σ,δ1,s1,F1) and regular language L2 recognized by DFA…
A: The answer is..
Q: . State which of the following classes each of the given languages belong to, and then prove our…
A: The handwritten answer is below:
Q: Let E={a, b} 1- Find a CFG defining the language of all words that contain exactly two b's not more.…
A: "Since you have posted a question with multiple subpart, we will solve the first three subpart for…
Q: Draw the state diagram of a FINITE AUTOMATON (not DFA) that accepts the language of all strings over…
A: The finite automata or finite state machine is an abstract machine which have five elements.
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: Given the grammar F> GnF | mZpG G > pZ | mZpM | q Z > mG | mGp | m…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: For any string w over ∑, writing its individual symbols so that w = w1w2…wn, we define the reverse…
A: Given: w = w1w2…wn with wi ∈ ∑ for 1 ≤ i ≤ n, Reverse of w is denoted by wR . wR = wn…w2w1 Let A be…
Q: Let A1, A2, and A3 be languages defined over an alphabet Σ. Define Majority(A1, A2, A3) = {w | w is…
A: Let A1, A2, and A3 be languages defined over an alphabet Σ.Define Majority(A1, A2, A3) = {w | w is…
Q: (Pumping lemma for regular languages) Let L be the language over the unary alphabet Σ = {1}…
A: - We need to prove that language of square length of a string is irregular.
Q: 17. Consider the following finite-state automaton. S1 Start So S2 What is the regular set that is…
A: As per policy we are allowed to answer limited questions if you need further post the question .…
Q: 3. Consider the following languages over {0, 1}: L3= {w:w contain exactly two l’s and |w| < 4} L4=…
A: 3) Answer :
Q: How would I draw a DFA (Determinist Finite Automaton) for the following language? It's possible you…
A: please do upvote for my efforts thanks! answer:
Q: Consider the following PSG G: V={S,NP,VP,D,N,V}; vO=S; /* phrase rules */ S->NP VP; NP->D N; VP->V…
A: Grammar G: V represents linguistics structure such as NP-Noun phrase and VP-verb phrase.…
Q: Prove that the following language is undecidable by giving a reduction from a known undecidable…
A: Actually, the given information is: ????? = {⟨?, ?⟩ | ? ??? ? ??? ???? ???? ???? ?(?) = ?(?)}Hint:…
Q: For any string w over ∑, writing its individual symbols so that w = w1w2…wn, we define the reverse…
A: GIVEN: Let w be a string such that w=w1w2….wn. The reverse of w is wR. Where wR = wn……w3w2w1. TO…
Q: For each of these languages, give both a context-free grammar and a push down automaton. Briefly…
A: Context-free Grammar In formal language hypothesis, CFG is a proper sentence structure in which each…
Q: Hello! This part is about finite-state automata. given the following automaton A over the alphabet…
A:
Q: 1. Show, by giving an example, that if M is an NFA the recognizes language B, swapping the accept…
A: This is an answer of 1st question
Q: Note: Write Regular Expressions for all of the languages given below defined over Alphabet Set E=…
A: A regular expression is described as a sequence of pattern that defines a string. Regular…
Q: Consider a case where a string of any character concatenate with #will belegal and if we merge two…
A: Required : grammar and syntax trees Grammar : It is a finite set of formal rules for generating…
Q: Let L be the language accepted by the automaton A of Question 2, and let L' be the language accepted…
A: The finite automata or finite state machine is an abstract machine that has five elements or tuples.…
Q: With A and B as regular languages, show that the following languages are regular: PSHUFFLE(A, B) =…
A: PSHUFFLE(A, B) = { s | s = a1b1a2b2…akbk, a1a2…ak ∈ A, b1b2…bk ∈ B, and each ai, bi ∈ Σ } Let DA…
Q: let's we have a language L = Xn Y 2n Where a) n>=1 b) n>=0 Give a context free grammars that…
A: Language L=Xn Y2n (a) n>=1 String generated will be XYY n=1 XXYYYY n=2 XXXYYYYYY…
Q: Construct deterministic finite automatons (DFAS) which describes or recognizes the languages given.…
A: Note: Answering the first three subparts as per the guidelines. Task : Create the finite automata…
Q: Assume that A = {a"b"c*|n, m, k e Z>0, n = 2m} and B = {a*b"&\n, m, k € Z>o, m = 2k} are two CF…
A: Proved that the context free language not closed under complement and intersection
Q: Let regular language L1 recognized by DFA (Q1,Σ,δ1,s1,F1) and regular language L2 recognized by DFA…
A: Given data is shown below: Let regular language L1 recognized by DFA (Q1,Σ,δ1,s1,F1) and regular…
Q: Consider the following language over alphabet {0,1}: L= {set of all strings of the length a least 2…
A: The context free grammar and NFA of the given language
Q: Use a closure operation to reduce the language L of all even-lengthed strings of as and bs where…
A:
Q: Let Σ be the alphabet {a,b}. Let L be the language describe by Σ∗ −…
A: Here in this question, it asks us to draw Finite automata the accepts the Σ∗ − (ε|Σ∗b)aa(ε|bΣ∗)…
Q: ALL = { | L(T) = \Sigma*} where is the string encoding of the TM T.
A: ALL = { <T> | L(T) = \Sigma*} where <T> is the string encoding of the TM T.shown that…
Q: Question 2 1. Let L by a language over E. For each of the following statements about L, determine…
A: According to our guidelines we solve only first one: ================================== about…
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: Language L S->A | AX X->ABY | AB Y->ABCY | ABC BA -> AB CA -> AC CB -> BC A->a B->b C->c…
A: Solution:
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: Let regular language L1 recognized by DFA (Q1,Σ,δ1,s1,F1) and regular language L2 recognized by DFA…
A: The answer is...
Q: Consider the following CFG with starting variable S and Σ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 0}: S → M U…
A: In this question, we are given a CFG and we have to provide derivation tree for the given string.…
Q: Let regular language L1 recognized by DFA (Q1,E,81,s1,F1) and regular language L2 recognized by DFA…
A: The answer is
Q: Exercise4: Consider the language L on = {0,1} with L= {w such that w starts with 1and ends with 00}…
A:
Q: Exercise 7 (Ex. 22, Chapter 1 of [Martin; 2011]). Using the pumping lemma, show that the below…
A: Step 1 The solution is given in the below step.
Q: For any string w 6=/ E, the principal suffix of w is the string resulting by removing the first…
A: Deterministic limited automata (or DFA) are limited state machines that acknowledge or dismiss…
Q: productions are of the form A -> ϵ.If L is CFL generated by a CFG having Λ-productions, then there…
A: Given : S --> XYX --> ZbY --> bWZ --> ABW --> ZA --> aA | bA | ΛB --> Ba | Bb |…
Q: Provide a (CFG) context-free grammar that generates the following language of all strings over…
A: In this question, we have to find out the CFG for the given language.
Q: Given a language L subseteq Sigma^ * define E(L) as the set of all even-length strings in L_{1}…
A: Given, L = Sigma ^ * Consider Sigma = {a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}Now,…
Q: A homomorphism on an alphabet is simply a function that gives a string for each symbol in that…
A: The, answer has given below:
Q: Show that the language, L = {0™1" | m # n}, is not regular, following the steps below. %3D In class,…
A: Given that, Two languages L1 and L2 and it contains {0, 1} Consider languages L1 and L2 as, L1= {a,…
Q: ull productions are of the form A -> ϵ.If L is CFL generated by a CFG having Λ-productions, then…
A: GIVEN: S --> XYX --> ZbY --> bWZ --> ABW --> ZA --> aA | bA | ΛB --> Ba | Bb |…
Q: We have introduced some languages involving DFA/NFA that are decidable. For example, we have…
A: Explanation: We have introduced various decidable languages utilizing DFA/NFA. For example, EnnA =…
Q: Let { a b } be the alphabet set. Write a Context free grammar CFG for each of the following…
A: As per the QnA policy, only first three parts are answered.
Q: et LL be the set of (codes for) context-free grammars GG such that L(G)L(G) contains at least one…
A:
Consider the CFG:
S -> XYX
X -> aX | bX | λ
Y -> bbb
Prove that this generates the language of all strings with a triple b in them, which is the language
defined by (a + b)*bbb(a + b)*
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
- Define a NPDA for the language L= {uv € {a, b}*||u|l = |v| and u # v*}. Another way to interpret L is that it is the set of all cven length strings that are not a palindrome.Construct a PDA that matches all strings in the language over {x.y} such that each string has at least twice as many y's as x's. Editor Below, give a short description of the set of strings associated with each state of your PDA.Create a PDA that accepts the language L = {w ∈ {a.b}* : na(v) ≥ nb(v), where v is any prefix of w}
- Use the Pumping Lemma to show the following language L is NOT regular. L= {w E (a, b, c}* ; where w has equal number of a's, b's, and c's}Construct a CFG and PDA for the language B={w| w is a string over {a,b} with the same count of a's and b's}. For example, abba € B, abab e B,aabb € B, babbbaaaba € B, that is, there is no particular order in which a's and b's appear in w as long as there is the same amount of them.Implement the following two functions that allow breaking a string into non-empty tokens using a given delimiter in c language . For example, ● For a string “abc-EFG-hi”, and a delimiter ‘-’ : the list of tokens is [“abc”, “EFG”, “hi”] ● For a string “abc-EFG---hi-”, and a delimiter ‘-’ : the list of tokens is [“abc”, “EFG”, “hi”] ● For a string “abc”, and a delimiter ‘ ’ : the list of tokens is [“abc”] ● For a string “++abc++”, and a delimiter ‘+’ : the list of tokens is [“abc”] That is, we break the string using the given delimiter, and the tokens are only the non-empty substrings.
- Implement the following two functions that allow breaking a string into non-empty tokens using a given delimiter in c language . For example, ● For a string “abc-EFG-hi”, and a delimiter ‘-’ : the list of tokens is [“abc”, “EFG”, “hi”] ● For a string “abc-EFG---hi-”, and a delimiter ‘-’ : the list of tokens is [“abc”, “EFG”, “hi”] ● For a string “abc”, and a delimiter ‘ ’ : the list of tokens is [“abc”] ● For a string “++abc++”, and a delimiter ‘+’ : the list of tokens is [“abc”] That is, we break the string using the given delimiter, and the tokens are only the non-empty substrings. The function count_tokens gets a string str, and a char delim, and returns the number of tokens in the string separated by delim. int count_tokens(const char* str, char delim); For example● count_tokens("abc-EFG--",'-')needstoreturn2. ● count_tokens("++a+b+c",'+')needstoreturn3.● count_tokens("***",'*')needstoreturn0.The function get_tokens gets a string str, and a char delim, and returns the…Rewrite BNF to EBNF BNF: → + Kexpr> - → * / | → ** → () idDesign DPDA to accept language L= {xe [a, b]* N (x) > N,(x)). N(x) > N,(x) means number of a's are greater than number of b's in string x
- In C language, implement the following two functions that allow breaking a string into non-empty tokens using a given delimiter. For example, For a string "abc-EFG-hi", and a delimiter '-': the list of tokens is ["abc", "EFG", "hi"] For a string "abc-EFG---hi-", and a delimiter '-': the list of tokens is ["abc", "EFG", "hi"] For a string "abc", and a delimiter ' ': the list of tokens is ["abc"] For a string "++abc++", and a delimiter '+': the list of tokens is ["abc"] That is, we break the string using the given delimiter, and the tokens are only the non-empty substrings. 1. The function count_tokens gets a string str, and a char delim, and returns the number of tokens in the string separated by delim. int count_tokens(const char* str, char delim); For example count_tokens("abc-EFG--", '-') needs to return 2. count_tokens("++a+b+c", '+') needs to return 3. count_tokens("***", '*') needs to return 0. 2. The function get_tokens gets a string str, and a char delim, and returns the…Construct a PDA that matches all strings in the language over {x,y} such that each string has an odd length and its middle symbol is 'x'. Editor Below, give a short description of the set of strings associated with each state of your PDA.Question 2: Ʃ = {a, b} Give the regular expression for all strings in which any b’s that occur are in groups of an odd number at a time. Some sample strings in the language aabaabbbab, bbbbbabbbaab, aaaa, ababab Some sample strings NOT in the language abba, babbbb