Show that the language L = {w : na (w) = nb (w)} is not regular. Is L∗ regular?

Q: Consider the augmented grammar given below: S + S S (L) I id L+ L,S S Let I, = CLOSURE ({[S' S]}).…

A: Goto items in the given grammar

Q: xt-free gramm

A:

Q: Suppose that L is a language on a set A, and that L is finite. Then L is regular.

A: A group of languages is said to be closed under an operation if the result of applying the operation…

Q: Find context-free grammars for the following language: L = anbn, n is even.

A: Context-free grammar (CFG): This grammar containing predictable set of grammar rules which contains…

Q: Using Pumping Lemma for regular languages, prove that the language L defined as follows is not…

A:

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: Let V = { S, A, B, a, b } and T = { a, b }.   Find the language generated by G = ( V, T, S, P) when…

A: ONLY FIRST THREE PARTS ARE SOLVED. KINDLY SEND THE REMAINING QUESTIONS ON THE PORTAL FOR THEIR…

Q: For each of the languages below, determine whether the language is regular or not. If the language…

A: Here is the solution:-

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

A:

Q: Write a finite automaton  for a language that accepts all words starting with an alphabet character…

A: Automation   State 1:   Input: a   Output: Go to state 2   State 2:   Input: [a-zA-Z0-9]   Output:…

Q: For each of the following languages Ls {a, b}*, show that the elements of the infinite set {a"|n >…

A: Shown that the given language is pairwise distinguishable

Q: Given the following grammar in BNF: →=→X|Y|Z→%|→?|→0] a) Change the grammer

A: The answer is

Q: show that Every context-free language is a member of P.

A: All regularly used languages are context-free but all context-free languages which we use in the…

Q: Find a regular grammar that generates the language L (aa* (ab+ a)*).

A: It is said that the language generated from that grammar is the set of all strings that can be…

Q: Give a regular expression for the language L over Σ = {0, 1} such that

A: ANSWER: Regular Expression: A regular expression is a grouping of characters that characterize an…

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: Implement a lexicographically smallest topological ordering in the C language

A: The above question is solved in step 2:- Topological ordering of direct graph is the lineear order…

Q: Build a non-deterministic finite automaton for each of the following languages: a) (a + ba) b) (a +…

A:

Q: How would you go about showing that recursive languages are closed under union using a constructive…

A: How would you go about showing that recursive languages are closed under union using a constructive…

Q: Find a grammar that generates language L = {a"bm,m > n,n 2 0 }

A: L= { a^n b^m, m&gt;n,n&gt;=0}m&gt;n means number of 'b' should be greater than a number of 'a'.

Q: Show that there are two non-regular languages ​​M and N such that M ∩ N is regular

A: This question from the subject theory of Automata. This question wants to ask "is it possible that…

Q: Denote a regular expression for the language that accepts all strings in which 'a' appears tripled…

A: The Answer is

Q: 0,1 So Start S2 0,1

A: When a specific input symbol, the machine can move to any order of the states in the machine, then…

Q: Create a Deterministic Finite Automaton (DFA) for the language L that is defined over the input…

A: - We have to examine the DFA according to the conditions and remake it if it's wrong.

Q: Give a regular expression for the smallest language L over E= {0,1} such that € EL •0EL VXEL,…

A: Step 1: Σ = {0,1} ε ε L     0 ε L     1 ε L   This means Null string, 0,1 all the 3 are present in…

Q: abb and bab. Note that the substrings ca

A:

Q: Find regular grammars for the following languages on {a, b}: L = {w : na (w) and nb (w) are both…

A: Regular grammar for the language L = {W: na (w) and nb (w) are both even} is as follows:

Q: Use the Pumping Lemma to show the following language L is NOT regular. L= {w E (a, b, c}*; where w…

A: use pumping lemma to show that language L is not regular. L= {w={a,b,c}*}

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: Find a regular grammar that generates the language L (aa∗ (ab + a)∗).

A: Solution: Given input,L(aa*(ab+a)*)Determine the regular grammar for L(aa*(ab+a)*):

Q: Consider the language L-(we (0, 1) | the substrings 01 and 10 occur the same number of times in w).…

A:

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

Q: 4. Given a language L, the language LR is defined as the language consisting of the reverse of all…

A: PALINDROME: A palindrome is a word, number, or sequence of words. when we read that backward or…

Q: For each of the following languages LS {a, b}*, show that the elements of the infinite set {a"|n 2…

A: Shown that the given language are pairwise distinguishable

Q: Show that grammar is  ambiguous

A: A grammar is ambiguous grammar if for any string it produces more than one parse tree Or derivation…

Q: For each of the following languages LS {a,b}*, show that the elements of the infinite set {a"|n > 0}…

A: Shown that the given language pairwise distinguishable

Q: Find a regular grammar that generates the language L(00*(01+0)*)

A: First lets understand the regular grammar: regular grammar has only following type of rules:…

Q: Find a grammar that generates the following language: {bna|n € N}

A: The set of all strings that can be derived from grammar is said to be the language generated from…

Q: Let E be the alphabet {a,b}. Let L be the language described by E* – (e|E*b)aa(e|b£*), where the…

A:

Q: Find a grammar for the language L= {an, where n is even}

A: The answer is...

Q: Let ∑ = {a, b}. Given the language L = {b^n a^m: m,n≥0}, find the regular expression r such that…

A: The language accepted by language are  L={€,a,b,ba,bbaa,bbba,baaa..}

Q: Write a regular expression that describes the languages of automata from Homework No. 2 and Homework…

A: Regular Expression has 8 Steps are as follows: Step 1-  Eliminate q1q0: abq2: ba*q0 to q2: b+aaq2 to…

Q: Show that the language A over E M with L(M) = A. {0,1} is regular by constructing (drawing) a…

A: The language A over Σ = {0,1} is regular by constructing (drawing) a deterministic finite automaton…

Q: Suppose that L is a regular language on a set A. Then the complement language L is also regular.

A: TRUE. Proof: Saying that wR ∈ L is equivalent to saying that w ∈ L R. If w must be in both L and LR,…

Q: Consider the language L= {a, bc } over E= {a, b, c}. Find: (а) L° (b) L'

A: L0 = { a null string} L2 = {aa, abc, bca, bcbc}

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

A: Here given grammar have number of products so we take some example to get the string…

Q: finite automata

A: Given :- In the above question , the language that is not accepted by a general finite automata is…

Predicates

A predicate is a function defined with set of variables, which returns the result True or False. The output of a predicate is a Boolean value as a response when given a set of parameters: