1.   Convert the given Ɛ-NFA to NFA

Q: Question Consider a language defined over E={a,b} that accepts the strings starting with a. a. Give…

A: Actually, program is an executable software that runs on a computer.

Q: Using the same principle, design an automaton that accepts binary numbers divisible by 5.

A: Solution for Question 3 Finite Automata   Finite automata are mathematical models of machines which…

Q: Design a an NPDA that accepts the following language: L = {d"b™ | 3n z m zn} defined on E = {a, b}

A: Design a non deterministic PDA for accepting the language L = {anbm | 3n ≥ m ≥ n} defined on ∑ = {a,…

Q: 2 a a a,b 3

A: Regular Expression: b*aa*(ba)*ba*   Step 1: b* is because of self loop on X. Step 2: a is because…

Q: Construct an NPDA on 2= {a,b,c}_for each of the following languages: a) L = {a"bm|0 < m s } L =…

A: Answer

Q: 1.6 Give state diagrams of DFAs recognizing the following languages. In all alphabet is {0,1}.…

A: Finite automata, specifically Deterministic Finite Automata (DFAs), are theoretical models of…

Q: = {a, b}*, w has two consecutive b's or starts with b and ends with a} b(a+b)* + a(a+b)*b a(a+b)* +…

A: Q

Q: Give an example of a finite, binary language.

A: Finite , Binary LAnguage:   A binary string is a sequence of 0's and 1's.  Let Σ be the set {0,1}.…

Q: Prove that the following language is not context free.

A: CFL(Context-Free Language): CFL is a language that is generated by context-free grammar or Type 2…

Q: Use the pumping lemma to show that the following languages are not context-free. (a) {0 | n is a…

A: Pumping lemma: If L is a context-free language, there is a pumping length p such that any string w ∈…

Q: 4. Construct a PDA for the language L = {am bn cn | m, n ≥ 1 and Σ = {a, b}*}

A: A pushdown automation is a method for executing a context free grammer likewise we plan DFA for an…

Q: Give CFGS for the following languages: L. = {0"1™2k | n>m+k; m, k > 0} ,

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

Q: ourse Name: Theory of Automata Requirement:  Plz don't copy the answer from google Q. Construct a…

A: This expression can produce strings and those strings can be verified to some given patterns by…

Q: onstruct regular expressions over Σ = {0,1} representing the following languages: 1. (w | |w|= 3…

A: Regular Expressions: Regular Expressions are used to denote regular languages. An expression is…

Q: (II) Write a regular expression over Σ={a,b} that generates the following language L={w|w has…

A: A regular expression, which is commonly employed for pattern matching within strings, is a string of…

Q: 2. Define CFGs for the following languages:  a. Language L(r) defined over the alphabet {0,1} where…

A: We have to define CFGs for given languages. CFG stands for Context Free Grammar and it is Type-2…

Q: 2- Write CFG for the following languages a) L= {anb²n, n>0} b) L= {a²b", n≥0} c) L= {ww}, w={a,b}*…

A: As per the Bartleby guidelines we have to answer only first 3 questions so repost remaining…

Q: Construct DFAs that accept the following language given alphabet {0,1}. a.) 0*1* b.) (0+1)*00(0+1)*

A: Answer the above question are as follows

Q: d) Write CFG for the language expressed by (a*bba*ca*) * over alphabets a, b and c.

A: Below I have provided the hand written solution of the given question

Q: Use the pumping lemma for context free languages to prove L is not context free.

A: Pumping Lemma for CFL states which refers to that for any of the Context Free Language L and it is…

Q: 3) Give a regular expression defining each of the following languages over the alphabet Σ ={a, b}.…

A: Also known as, regex or regexp which means a sequence of characters that forms a search pattern. It…

Q: that the following language is context-free by either providing a PDA recognizing the language or a…

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

Q: b lab, bba

A: f) q4 has {a,b}* Top part has ab Bottom part has bba

Q: Write regular expressions representing the following languages over the alphabet {0,1}. a.) Language…

A: A Regular expression is defined as a pattern that can attempt to match input text as it is composed…

Q: g. {w w is any string that doesn't contain exactly two a's} h. {w w is any string except a and b}

A: A DFA (Deterministic Finite Automaton) is a mathematical model which is used in the computer science…

Q: Give NFAs with the specified number of states recognizing each of the following languages. The…

A: NFAs with the specified number of states recognizing each of the given language

Q: {(xy * z)|(x * yz)}. Propose a DFA and lexical analysis for language L Code the DFA by any language…

A: Given Language is, L= {(xy*z)|(x*yz)} DFA stands for deterministic finite automata and to convert…

Q: Give the regular expressions for the following languages; L1 = {anbm, n>=3, m<=4}

A: Give the regular expressions for the following languages;   L1 = {a^nb^m, n&gt;=3, m&lt;=4}

Q: 1) Write the Regular Expression of the following languages, where Σ= {x,y} i. {w | each x in w is…

A: 1) i. The given language is :  {w | each x in w is followed by at least 3 y} In order to get the…

Q: a) Give regular expressions for the following languages:  1) {w ∈ {0, 1}∗ | w contains at least…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Give regular expressions that describe the following languages containing the set of all strings…

A: A.) { w | w a word in which 3rd symbol from RHS is ‘a’ and 2nd symbol is 'b' }. aaa , aab , aaab ,…

Q: For each of the following, check the box if the language A is context free. A-fa"b"c" | a,b,c e…

A: To find out which of the languages is context-free. We will go through each of the languages A and…

Q: Prove that the following language is regular by constructing a DFA that accepts it: L = {w € {!,O}*…

A: It is given the string will be of form, w = vw'v where |w'| = 2 and |v| = 3. So the total length of…

Q: m₂n_n L = {ambncnd", number of a = d, number of b = = C

A: Given, L = { am bn cn dm , number of a=d, number of b=c }

Q: Each of the following languages are composed of two simpler languages over the alphabet Σ = {a, b,…

A: A DFA, or deterministic finite automaton, is a type of finite automaton where the computation is…

Q: 3. Prove that the following languages are either regular or not regular: a. L = {ww contains a "1"…

A:

Q: 3) Show that the following language is decidable ALLDFA= { JA is a DFA and L(A) = E'}

A: here below i  explain that this is decidable.…

Q: 2 Non-context free Proof Prove that the following language is not context free. L = {w:The number of…

A: Context free Grammar In order to produce every possible pattern of strings in a given formal…

Q: Classify each of the languages below using one of the following categories: regular (R) or not (N).…

A:

Q: 2. Languages A and B are defined on the alphabet Sigma=[0, 1] as follows. A = {w | string w contains…

A: I have create similar DFA equivalent to the NFA. See below steps.

Q: 3.) Find the values of the following expressions in the computer language for a = -3, b = 8,c = 12,…

A: For use of pow(0 and sqrt() function we have to import #include&lt;math.h&gt;  1)Declare a, b, c, d,…

Q: Design a pushdown automaton for the following language, L={a"b2n:n>0}

A: L={anb2n | n&gt;0}   Let's consider the strings of the language :    L={ε,abb,aabbbb,aaabbbbbb,...}…

Q: This is not a writing assigment but it is being rejected as a writing assignment. Provide a DFA or…

A: Let's create a DFA for the string bbab and aaa now. String bbab will enter the dead state when it is…