Show that the following languages are not regular: { www | w is any string over E} with E= { a, b } • {x=y+z ] x, y and z are binary integers, and x is the sum of y and z } with E= {0, 1, +, = } • a®b"a® | m, n are non-negative integers } with E= { a, b } • {w |w is a string over E that is not a palindrome } with E= { a, b }

Q: Prove that L3= {ww1" | w is a binary string with n 1's } is not context-free. Here is an example…

A: In the theory of formal languages, which that the pumping lemma may refer to: Pumping lemma for…

Q: Design a TM that accepts the following language L={w ∈ {a, b}* | na(w)=nb (w)} , where na(w)…

A: Given language is,  L={w ∈ {a, b}* | na(w)=nb (w)} , where na(w) indicates the number of symbol a’s…

Q: = A language over alphabet = {0,1,2,3,4,5,6,7) in which reverse of each string (for instance,…

A: To generate a language over the given alphabet Σ = {0, 1, 2, 3, 4, 5, 6, 7} where the reverse of…

Q: Given: Language L2 = {w ϵ {a,b}* | w contains substring aab} Construct the DFA representing the…

A: Solution:

Q: Construct a DFA which accepts those strings over Σ={0,1} that satisfy all of the following…

A: Regular Expressions Just as finite automata are used to recognize patterns of strings, regular…

Q: Let B be the language defined as follows: B = { www | we (a, b}"} Let p be a positive integer and…

A: Below is the answer with reason:

Q: En is the language that contains all and only strings that, in turn, contain nothing but the letter…

A: By definition, a language is regular if some finite automata recognizes it. So if we can prove that…

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: Given the language L = {a,b}"{bb}{a,b}"= (a|b)¨bb(a|b)" = E'bb>" %3D %3D %3D Which of the following…

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

Q: 13. Show that the language L= {a" :n > 0, n ± 4} is regular.

A: A regular language is a language that can be communicated with a normal articulation or a…

Q: Let B be the language defined as follows: B = { www| we {a, b}*} Let p be a positive integer and k…

A: The value of ap-kbapbapb depends on value of p and k.  According to the language w belongs to (a, b)…

Q: Determine whether A is a regular language or not. Fully justify your answer. Assume = {0,1} and let…

A: In theoretical computer science, regular languages are a category of formal languages that can be…

Q: Write the Regular expression for the language which accept no pair of consecutive a’s over Σ ={a,b}…

A: i.RE: (b + ab)* (a + λ)ii. 3 valid stirngs: ab, aba, babiii. 3 invalid stirngs: aa, bababaa, baaba

Q: 2. Give a DFA for the following language over the alphabet E = (0,1): L=( w | w starts with 1and has…

A: This dfa can be made using 5 states below is the dfa.

Q: I need help to construct a dpda for the language {w in {a,b}^*| w has an unequal amount of a and b}

A: In automata theory, DPDA is Deterministic pushdown automata is a variation of pushdown automata. The…

Q: Construct a DFA that recognizes the language over the alphabet {0, 1} of all strings where the…

A: The given language's DFA is below: DFA , that acknowledge the language over the alphabet {0, 1} of…

Q: L₁ = {w {a,b,c}* | n₂(w) ‡ 3, n(w) # 4, and no (w) # 7} (where no(w) represents the number of 'b's…

A: Language L1 have string w belong to {a,b,c}*. Means input symbols are - a, b, c. As in question…

Q: In certain programming languages, comments appear between delimiters such as /# and #/.  Let C be…

A: Let M be the DFA that recognizes the language C.The state diagram of M is as follows.

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: 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: 15) Let M be the language over {a, b, c, d, e, f} accepting all strings so that: 1. There are…

A:

Q: > 0* a ba* b*a* (ε UØ)0 a(ab)* U(ab)*b 1. {e} 2. 0 3. {ww contains exactly one b} 4. {ww begins with…

A: Given that Σ = { a, b } as referenced in the question defines that the set is set of all alphabets a…

Q: Let L be the language defined by the following regular expression 0(0 | 1)∗1(0 | 1)∗ Write 3…

A: The regular phrase 0(0 | 1)*1(0 | 1)* defines the language L. A group of strings with particular…

Q: Construct an NFA that recognizes L

A: Given :-Let L = { w ∈ { a, b, c }* | w contain exactly one b or start with ac }

Q: Construct a Regular Expression for each of the following Languages over Alphabet set {a, b}. 1. L1 =…

A: We are going to write regular expressions for the given two languages. I have uploaded image for the…

Q: Provide union of the: Language in which third last letter is ‘a’. Language containing no more than…

A:

Q: 0 or more

A: DFA  in which each input symbol determine the state

Q: 4. Consider the following languages over {0, 1}: L₁ = {w: w contains more 1's than 0's and |w| £ 3}…

A: Please refer to the following steps for the complete solution to the problem above.

Q: Suppose that language LC {a}*. For which of the following options does L = L*? OL= {A, a, aa, aaa,…

A: This question comes from Theory of Computation which is a paper of Computer Science. Let's discuss…

Q: Given the parent language L={w∈{a,b,c}}*, what is the language the following regular expression…

A: Given, L={w∈{a,b,c}}* Regular Expression = /([a-c]*a[a-c]*b[a-c]*)|([a-c]*b[a-c]*a[a-c]*)/

Q: Construct a DFA or NFA with as few states as you can for the language {w w € {0, 1}*; every second…

A: We are given a language L and we are asked to design a DFA or NFA for it.First we will try to…

Q: For any string w = w₁w2. reverse order, wn Show that if A is regular, so is AR. ... ... wn, the…

A: Constructing a Finite Automaton (FA) for the reverse language involves designing a computational…

Q: Construct regular expressions over Σ = {0,1} representing the following languages:

A: ∑ =  input alphabet Q = finite autometa δ = transition function F0 = initial state λ = output…

Q: a) Construct a push-down automaton that accepts the language L = {a'b'c*[i = j_or i =k for i> 0}.

A: The answer is

Q: Write a Java programme that reverses a string without utilising the built-in String reverse function…

A: Introduction: Write a Java program that reverses a string without utilizing the built-in String…

Q: Let L= {ab, n>=0}, the strings of language L are..... O Skip O {b, abb, aabbb, aaaabbbbb,...) O {b,…

A: Given, L={anbn+1, n>=0} Putting the value of n=0, The string generated=a0b1=b Putting the value…

Q: b) Write the CFG for the following language over alphabet Σ= {p,q ,r} L={ pqr, ppqrr, pppqrrr,…

A: Given language L = pn q rn where n>=1 L= {pqr, ppqrr, pppqrrr, ppppqrrrr, pppppqrrrrr, ……………..}

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.