1. For each of the following regular expressions find a language (i.e., a set of strings) over A = {a,b,c} that can be represented/described by that expression. a. a*bc + bc* b. b*aaac* а. b.

Q: Find a language (i.e., a set of strings) to describe each of the following regular expressions. a. a…

A: a) a+b  Set of strings = { a , b } b) a+bc Set of strings = { a, bc } c) a + b*  Set of strings = {…

Q: Let language B = { w | w can be written as c#d#c°#e with c, d, e e {a, b}* }. | Show that B is not…

A: Prove that given language is not regular,given language is context free language

Q: PLease answer both question with clear explanastion. Thanks in advance 1. What is the regular…

A: Given: PLease answer both question with clear explanastion. Thanks in advance 1. What is the regular…

Q: Define following through descriptive definition   (a)The language { ap bm cp de}  of strings…

A: The given question is:The language { ap bm cp de}  of strings defined over Σ={a,b,c,d}. Solution:…

Q: 3. Write the regular expression for a language that contains strings of even number of a's followed…

A: Language: A language is a collection of strings selected from a set of Σ*  or, to put it another…

Q: Construct a CFG and PDA for the language B={w| w is a string over {a,b} with the same count of a's…

A: PDA

Q: Show that the following language is context-free, L = {x1#x2#x3 | x1, X2, X3 E {0, 1}*, and for some…

A: Given language is, L= {x1#x2#x3 | x1,x2,x3 ∈{0,1}* and for some i and j ∈{1,2,3}, i != j, xi=xjR }…

Q: 1. T/F-Disjoint union assuming that variants are chosen from type S or type T = (#S)^ (#T) 2.…

A: As per the bartleby policy we can answer single question at a time, so as there are multiple…

Q: Exercise 1 (Ex. 1, Chapter 2 of (Martin; 2011). In each part below, draw an FA acce indicated…

A: Answer : I attached an image please have a look once.

Q: Let E= {a, b}. Given regular expressions r = a*b*, r' = ba(ab)* + ab*ba and p" = (a + b)aa(a + b)*,…

A: Here input is ={a,b} 1.  r= a*b* Regular expression for language r= a*b* Language description: Any…

Q: Let Cbe the language over {a, b,c, d, e, f} accepting all strings so that: 1.There are precisely…

A: Step 1 The answer for the above question is as follows   Step 2 1. S -> DbTbA 2. D -> dF 3. F…

Q: Show that the following language is context-free, L = {x#x2#x3 | x1, x2, x3 E {0, 1}", and for some…

A: The Answer is

Q: Show that the following language is context-free, L = {x,#x2#x3 | x1, x2, X3 E {0, 1}*, and for some…

A: The answer is

Q: : Create R.E for a language defined over Σ={a, b} having even number of a’s and even number of b’s.

A: List of strings accepted by a language is given below: aabb bbaa abab baba aa bb abaaab abbbab

Q: (1) (a) Let r, 1, and r, be regular expression. Find all the regular ones from the following…

A: a) λ, r*Φ, r1-r2+r3 b) L(r1) = {a(ab)n | n>=0} U {bman | m>0,n>0} L(r2) = {(bnam)k |…

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

A: Actually, DFA stands for Deterministic Finite Automata...

Q: Prove that the following language is not context-free: {a'b'e | j>?>0}

A: When the language L is in CFL, it may exist an integer number n, for all x ε L with the |x| ≥ n,it…

Q: Write regular expression for the following languages, alphabet {0,1} a. The set of strings that do…

A: Regular Expression :- a. The set of strings that do not end with 11. Here A is initial state and C…

Q: Exercise 1 (Ex. 1, Chapter 2 of (Martin; 2011]). In each part below, draw an FA accepti indicated…

A: For the first FA, if number of a's exceed a then DFA will go to dead state.  In second DFA, there is…

Q: 7. (a) What language is represented by the regular expression (((a*a)b) U b)? (b) Let E = (a, b)…

A: a) Language represented by :  (((a*a)b)Ub) U means Union means Merging Note :  * means 0 or more…

Q: Find the regular expressions describing the following languages defined over the alphabet E = {0,1}:…

A: Given: We are given three languages which contain alphabets and some conditions on them.  Goal: We…

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

A: To Prove: {01 102 103 1 . . . 0n-1 10n 1| n >= 1}, is not context-free.

Q: Show that the following pair of regular expressions define the same language over alphabet {a, b}:…

A: Given regular expressions contains two alphabets {a, b} and the given regular expressions are:…

Q: (a) How you can elaborate the equivalent FA. (b) Consider the language L of strings, defined over…

A: a. Equivalent Finite Automata Two automata A and B are said to be equivalent if both accept exactly…

Q: Suppose that alphabet E = : {a, b} and that L = { w E E* : w = am b" a" bm and m > 0 and n >0} is a…

A: given a language and we have to state that weather the language is context free or not..  to check…

Q: Find RG, for following language on {a, b}: All words that end in either a or bbb

A: We are given that the language ends with a or bbb and before that there can have any occurrence of a…

Q: For each of the following CFGS, determine whether strings abba, aaaaa, and b are generated (show…

A: a) SYNTAX FOR GRAMMAR IS (N,T,P,S) N- non terminal T - terminal P - rules S - start symbol the…

Q: Show that L = {ww*w:w E {a, b}*} is not a context-free language.

A: proof by pumping lemma: 1)assume given language is context-free and there exists a PDA for this.…

Q: Show that the following pair of regular expressions define the same language over alphabet {a, b}:…

A: The given pair of regular expressions defined the same language

Q: Create Programs to implement the below problems. The implementation language can be any language…

A: ALGORITHM:- 1. Take input for the string from the user, 2. Count the occurrences of the string men,…

Q: Construct a Regular Expression for following languages where alphabet is {0, 1}. where, language={w…

A: The answer is...

Q: Construct a Regular Expression for following languages where alphabet is {0, 1}. where, language={w…

A: This question is from theory of computation, which is from computer engineering. The answer can be…

Q: Define a Regular Expression that describes the language accepted by the following finite automaton.…

A: Regular Expressions are the expressions which are described from language accepted by the finite…

Q: Write Regular Expression for the language having strings ax, bx, cx, aax, bbx, ccx, aaax, bbbx, cccx

A: Provided the regular expression for the above given language as shown in the below attached…

Q: Give a recursive definition for the language L defined over the alphabet E = {a,b} and %3D whose…

A: recursive definition for the given language is  step 1 a, b,ab,ba is in L step 2 ss* is in L , where…

Q: Construct a regular expression over {a,b,c} for the language accepted by this a →A | B | | C 1 A C…

A: Let us try constructing the state table for DFA from state table of NFA Here start state for NFA is…

Q: Draw a language for a machine in which “computer-oriented words” are generated having string contain…

A: This falls under Theory of Computation. Automata theory is the study of abstract machine and…

Q: 1. Consider the regular expression r given below: ((000)* + 1)* + (1*01*01*01*) + (0 + (11)* +…

A: Epsilon  0 1 00 11 000 111 101 110 011

Q: For each of the following languages, give two strings that are members and two strings that are not…

A:

Q: Define a language L, in a recursive way where the strings should not contain ab at any place over…

A: Recursive function (reverse) takes string pointer (str) as information and calls itself with next…

Q: Define a language L, in a recursive way where the strings should not contain ab at any place over…

A: L={abb,babb,aabb,aaabb.......}   It can easily be seen that  a, b, which are strings in the language…

Q: Construct a context free grammar G for the language N(P): P= ( {p,q}, {a,b}, {Z.X}, 8, p, Z, Ø )…

A: PDA can be Converted into CFG . PDA is the Push Down Automata, that contains 7 tuples . The tuples…

Q: For regular expressions over alphabet E , given the following regular expressions, write the…

A:

Q: For the following languages, give a simple one-sentence description and show two strings that are in…

A: given the following languages, we have write formal description and two string are in the language…

Q: consider the alphabet ∑={A,B,C,...,Z,+,-} Make a suitable automata for the language that accepts…

A: Given: Alphabet ∑={A,B,C,...,Z,+,-} Your name: Sufyan First 2 alphabets: S,u Regular expression for…

Q: consider the alphabet ∑={A,B,C,...,Z,+,-} Make a suitable automata for the language that accepts…

A: Given: Alphabet ∑={A,B,C,...,Z,+,-} Your name: Sufyan First 2 alphabets of your name: S,u Regular…

Q: Prove that the following language L is not contextfree: L {0"- 1"0" | n20 }.

A: please do upvote for my efforts!   answer: we can use pumping lemma to prove it

Q: Show why the following language cannot be a regular language: L = {x € {a,b, c}* | x = (a + b)ʻ(b+…

A: Given data is shown below:

Q: Construct a regular expression defining each of the following languages over {a, b}; a. All strings…

A: a) Regular expression of All strings such that the number of a’s is a multiple of 3.

Q: For each statement below, decide whether it is true or false. If it is true, prove it. If it is not…

A: Subset or equal to case in a language: All the strings that belongs to the left side language must…