a. What are the variables and terminals of G? Which is the start symbol? b. Give three examples of strings in L(G). c. Give three examples of strings not in L(G).

Q: 1. Write a regular expression for all strings on {a, b, c} which contain a², b² and as substrings.…

A: It is given that

Q: The expression of the statemer All dogs (D) have fleas (F) using quantifi ers is

A: D(x) be x is a dog F(x) be x has fleas

Q: Using set notation (union, intersection, complement, etc.), write each subset of Cathy’s…

A: This is a basic look of set theory , which forms a solid background for basic probability .

Q: Use a proof-by-contradiction strategy (and the Pumping lemma) to prove that the following language…

A: Given language L=0n1m0n : where integers m≥0, n≥0 also for strings of the form 0n1m0n in language,…

Q: -as a functic e that er = C - housing sta

A: consider MA(1) process yt=2.3-0.95et-1+et Let ωt ~iid N(0,σ2ω) as a function of y1,y2,y3,...,yT  and…

Q: How many strings of length 12 over the alphabet {a, b, c} have exactly three a's or have exactly…

A: Combinatorics is the field of mathematics in which we deal with counting. Counting is based on the…

Q: a. Prove that (P ® Q) →-R) +-P is a tautology, a contradiction or contingency. b. Compute double…

A: (a) Thus, given statement is contingency.

Q: 3. List up all elements in the set A\B where A = {r € Z[0.01 < 2² < 100}, B= {r € Z]0.01 < r³ <…

A: Difference of sets: The difference of any two sets A and B is given by A/B = A – B. In other words,…

Q: 21. For E = {a, b}, construct dfa's that accept the sets consisting of (a) all strings of even…

A: NOTE: According to bartleby  guidelines we have to answer only first three subparts please upload…

Q: Given F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD, express F(A,B,C,D) and F '(A,B,C,D) in…

A: Solution: Given that F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD Now, truth table Row no.…

Q: Which of the following best describes the modal class? Select one: a. The class with the largest…

A: we have to find which describe the modal class best.

Q: a) How many symmetric relations on an n-element set are there? b) How many ways are there to choose…

A:

Q: (a) A ∩ B =          (b) A ∪ B =      (c) A − B =      (d) B − A =

A: Let S be the set of all strings of 0's and 1's of length 4, and let A and B be the following subsets…

Q: Let Set B be defined recursively as follows: b =7 B = (= +2.neN). Express set Busing formal rule.

A:

Q: If a language is any set of strings in E*, where E + Ø, prove that the set of all languages is…

A:

Q: Let s be a string of length 2 with characters from {0, 1, 2}, and define statements a, b, c, and d…

A: Let s be a string of length 2 with characters from {0, 1, 2}, and define statements a, b, c, and d…

Q: d never list all of the numbers ematical notation, however, w the criterion". mple is the set of all…

A: 7.a) Represent the list of all multiples of 14 We will consider this as n4 where n=1,2,3,4,...Those…

Q: Which of the following regular expressions describes the language of strings of the form a3n b2m cAk…

A: Third option is correct.

Q: Consider the reduction from 3-CNF-SAT to SUBSET-SUM. For the formula ϕ = (x1 ˅ ¬x3 ˅ x4) ˄ (¬x1 ˅ x3…

A: Given, Formula ϕ = (x1 ˅ ¬x3 ˅ x4) ˄ (¬x1 ˅ x3 ˅ x4) ˄ (¬x1 ˅ x2 ˅ ¬x4) and Clauses C, C1 = (x1 ˅…

Q: Finite language is a language with finite number of strings in it, i.e., there exist exactly k…

A:

Q: Let P be the set of all positive factors of 90, and let / denote the 'divides' relation. Then the…

A:

Q: Let O be the set of Odd integers and E be the set of Even integers. Find (0-E)U(E-O). Answer:

A:

Q: 3. Let U be the set of all people in Adelaide in March. Let P(z) be the predicate person z went to a…

A: Introduction: In logic, predicates have importance. A predicate is an expression of one or more…

Q: Give a recursive definition for the set of all strings of a’s and b’s where all the strings contain…

A:

Q: Let Σ={a, b} 1- Find a CFG defining the language of all words that contain exactly two b's not more.…

A: Given: Let Σ=a,b.   To find / build: (1.) A CFG defining the language of all words that contain…

Q: Let A = {a, B} be the set of alphabets and let L be the set of all palindromes over A. Write the…

A:

Q: 36. Let the universal set U = {r | x is a non-negative integer}. Let A = {x E U | x is divisible by…

A:

Q: Let E be the set of 26 English letters. Find the number of 5-letter words (including  nonsensical…

A: There are totally 26 English letters in which 5 are vowels(A, E, I, O, U) and remaining 21 are…

Q: Let S be the set of all strings in a's and b's, and define C: S → S by C(s) = as, for each s ∈ S.…

A: Let S be the set of all strings in a's and b's. Given that, C:S→S, defined by Cs=as, ∀s∈S To show…

Q: Let a, b e N. Choose all correct statements. O gcd(a, b) = gcd(-a, -b) O gcd(a, b) = gcd(a², b²) O…

A: We apply property of GCD to solve the problem

Q: Let {\mathcal S}S be the set of all (nonnegative) 4-digit integers. How many integers does {…

A: Here given S is set of all (nonnegative) 4-digit integers We have to calculate,  How many 4 digits…

Q: The infix for the postfix expression a c-x * is O (a-c)*x O a-c*x O a'c-x a-(c*x)

A: Correct Answer is : (A) i.e (a-c)*x Given is the Post-fix expression = ac-x*

Q: 11 Math114 Logic and Set Theory

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Q: Which of the following represents the number of strings of five lower case letters of the English…

A:

Q: hich of the following groups are not mutually exclusive? Group of answer choices 20 year old people…

A: Two events are mutually exclusive or disjoint if they cannot both occur at the same time.

Q: Let S be the set of all strings of 0's and 1's of length 4, and let A and B be the following subsets…

A:

Q: License plates in China begin with a Chinese character designating the province, followed by a…

A: We have 1 character for the Chinese Province which we won't consider as we want only for the case of…

Q: 11. Use set-builder notation to represent X, the set of all whole numbers greater than 20. X-(x/x is…

A: The set builder notation of the set of all whole numbers greater than 20 is,

Q: II. Identify the correspondence in the following relations 8 3 1.) 5 2.) 5 4 3 4 8 8 4.) -2 -3 -4 -5…

A:

Q: Consider the usual order R on the set A of lower case English alphabet letters. Then the…

A: Given:  Under usual order R on the set A of all lower casesin English alphabets…

Q: The infix for the postfix expression a c - x* is O a*c-x a-c*x O a-(c*x) O (a-c)*x

A: To find the infix for the postfix expression a c-x*

Q: Let T = {1, 2, 3, 4, 5, 6, 7, 8, 9}. If five integers are chosen from T, must there be two integers…

A: Concept used: The Pigeonhole principle states that if k+1 objects are to distributed in k boxes then…

Q: Suppose f, g are binary functions symbols, c, 1 are constant symbols and o is a unary predicate…

A: A vocabulary of first-order terms (or just vocabulary or language) For each n∈N a set of n- any…

Q: Q5: Given a set A of all people in your 230 class, consider a binary relation R between a pair of…

A: Given a set A of all people in your 230 class, a binary relation R between a pair of classmate…

Q: C. Think of a set with m + n elements as composed of two parts, one with m elements and the other…

A: m+n elements as composed of two parts.

Q: Give a recursive definition for the set of all strings of a’s and b’s where all the strings are of…

A:

Q: 3. For cach of the following statcments • Write the statement as an English sentence that does not…

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Q: 190 people went to a sports arena where they could watch basketball, tennis and/or golf. 114 watched…

A: Let S= total of 190 people B=Basketball  T=Tennis G=Golf  5 watched all three. 14 watched basketball…

Q: Which of the sets S over {a,b,c} below is defined by the following recursive definition? Base: empty…

A: Concept: A branch of mathematics which deals with symbols and the rules for manipulating those…

Q: How would you use set notation to describe the section of the Venn diagram that Noah is in? Use F…

A: