Construct a CFG that generates L, where L is described below: L = {w|w € {a, b}*, #a(x) = #b(x)}, Where #a(x) and #b(x) denote the number of a and b in x respectively. Provide arguments to convince the reader your solution is correct.

Construct a CFG that generates L, where L is described below: L = {w|w € {a, b}*, #a(x) = #b(x)}, Where #a(x) and #b(x) denote the number of a and b in x respectively. Provide arguments to convince the reader your solution is correct.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 24PE

See similar textbooks

Related questions

Q: Q. Design a deterministic finite automaton for the given regular expression R. R = (0 + 1 (1 + 01)…

A: Let's understand step by step : Given regular expression : (0 + 1 (1 + 01) *00) * 1. Now there…

Q: Suppose you have two strings, X1...Xn = "abracadabra" and Y1...Ym = "addlebrain" You want to compute…

A: Given : Given Strings : X : abracadabra Y : addlebrain

Q: Complete the axiomatization by using and add a rule of universal generalization a) Ay/x) Vx…

Q: 4. Consider the following languages. • ANFAFIN = {(N) |N is an NFA and L(N) is finite} • EREX = {(R)…

A: Answer:- No,All strings of the form 10n are contained in L(N) (in addition to other strings as…

Q: Suppose R(A, B, C) contains the tuples {(a1,b1,c1), (a2,b1,c1), (a3,b1,c1), (a2, b2, c2) (a3,b3,c3),…

A: I have provided solution in step2

Q: Q. The formal description of a NFA (Nondeterministic finite automaton) is: ({qı, q2}, {0,1}, 8, qı,…

A: Regular expressions are patterns used to match character combinations in strings. A regular…

Q: Given the following: nale(P). fenale(P). father of (F,C). mother of (M,C). parent of (P,C):-…

A: The answer for all in one is given below

Q: D Question 6 If we can reduce problem A to problem B, then A is at least as hard as problem B. O…

A: Answer is provided in the step 2.

Q: Design a deterministic finite-state automaton that accepts any strings over (1,0}, which begins, and…

A: I'm providing the answer to both parts. I hope this will be helpful for you...

Q: Transform, using the subset construction, the following nondeterministic finite automaton into an…

A: Step 1 Difference between DFA and NFA; DFA doesn't utilize null String transition. NFA can utilize…

Q: Write a CFG to generate the language of all strings that have more a's than b's (not necessarily…

Q: Draw a finite automaton for the following expressions. (i) a*ba*ab* (ii) b((aab* U a*)b)'a (iii) ab…

A: (i) a*ba*ab* (ii) b((aab* U a4)b)*a

Q: point p is on line l if and only if point l∗is on line p∗. 1. Using the property above, prove the…

A: Answer: The straight lines L1,L2,L3 are parallel and lie in the same plane. A total number of m…

Q: Solve this instance of Instant Insanity by providing the correct two subgraphs. R G B W W G R B RG W…

A: The puzzle that consists of four cubes and each cube colored with dour different colors, is called…

Q: Construct equivalent DFA for NFA M = ( {p, q. r, s}, {0, 1), 8.p.{q, s}), where 8 is given below.…

A: The Answer is

Q: d. Show that ¬(p ® q) and p→ q are logically equivalent. e. Show that ¬(p → q) and ¬p → q are…

Q: Given is the following DFA Ap = (QD, E, 8p, qD, Fp). 97 0,1 0,1 92 0,1 91 93 1 0,1 95 96 Following…

A: Designed the given DFA to the equivalent of NFA

Q: In this exercise, you are going to give a formal description of the algorithm for constructing the…

A: The algorithm works recursively by splitting an expression into its constituent subexpressions, from…

Q: f : {1, 2, 3} ® {a, b, c, d} f(1) = c f(2) = b f(3) = a g : {a, b, c, d} ® {x, y, z} g(a) = y g(b) =…

A: The answer is given below:-

Q: For each of the following expressions below, write the coresponding Big-Oh complexity. Expression…

A: Time complexity of all the questions is provided in step2.

Q: In this exercise, you are going to give a formal description of the algorithm for constructing the…

A: According to the question, we have to explain and describe the mathematical expressions for the…

Q: If L is the set of all strings over Σ = {a,b), which has the form xby, where x is any string whose…

A: answer starts from step 2

Q: sequence of values: n, c(n), c(c(n)), c(c(c(n))), c(c(c(c(n)))),... is known as the hailstone…

A: C++ programming language is an object-oriented programming language, it's a cross-platform…

Q: If P is a proposition, which of the following equivalence is valid? А. (Pv-P) = -(PA-P) (Pv-P) =…

Q: Automata question Use pumping lemma to find out which of these are regular: L = {WWR | |W|=2 over…

A: Given that : Use pumping lemma to find out which of these are regular: L = {WWR | |W|=2 over…

Q: Suppose P(a) is the predicate "a is prime" and Q(a) is the predicate "a is divisible by 3", for all…

A: There exists no truth value .

Q: Let R (A, B, C. X, Y, Z). Which of the following represents a decomposition of R? O (A, B, C, X) and…

A: Decomposition: Decomposition is basically dividing the given relation in two or more sub relation.…

Q: Let L be L(A), where DFA A = (Q,T,8, q0, F) over alphabet T = {a, %3D b}. Let h be the homomorphism…

A: we formally express the DFA as M = ( Q, L:, 8, q1, F ) , where Q = {q1, q2 , q3} L: = { a, b}…

Q: Let F(x,y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is fair". The…

A: We are given a statement for which we will find its symbolic sentence. Note: Here x range is for…

Q: For the following pairs of expressions, find a unifier for each pair if a unifier exists. If a…

A: For the following pairs of expressions, find a unifier for each pair if a unifier exists. If a…

Q: For cach language L over a given alphabet E, let (L, E) denote the language over E obtained from L…

A: Decidable language: A language is decidable if a Turing machine accepts and halts on every input…

Q: npda that accepts the language L = {a nbm : n ≥ 0, n ≠ m}

A: Automata theory is the study of an abstract machine and computational problems, also it is a…

Q: Consider the following sentence in 3-CNF with m=8 clauses. (A v B v D) A (B vč v D) ^ (c v Ā V D) A…

A: It is an important normal form for propositional logic. A logic formula is in conjunctive normal…

Q: Write a nondeterministic finite automaton for a regular expression: (b(abab)+)*|(a[ab]?)*

A: NFA: (Nondeterministic finite automata): In automata theory, Finite-state machine which is called as…

Q: Implement F1, F2, and F3 with PLA. A В F1 F2 1 F3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

A: PLA is a Programmable Logic Array(PLA) which consists of a programmable AND array and programmable…

Q: A wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] y1 (t) = A sin…

A: Given: Wave-function: Â y(x,t)=Asin(kx−Ï‰t)Â Â Â Â {StandardÂ equationÂ ofÂ wave}y(x,t)=Â…

Q: Given the language (00)n (11)n, i.e. n 00s followed by n 11s (e.g. 0011 and 00001111), where n is…

A: The given language is deterministic PDA as we can construct a PDA for it ,for every state there is a…

Q: Evaluate the following lambda expressions using eager beta-reduction (use the standard…

A: Note : As per the guidelines , we are supposed to answer 1 question per post please repost the other…

Q: Define a function alwaysFollows of type [Integer] -> Bool so that alwaysFollows (x, y, lst) is true…

A: Below is the required code in python and sample output:

Q: (∀1∀1) ∀x A→A(y/x) ∀x A→A(y/x), provided yy is free for xx in AA (∀2∀2) ∀x(A→B) → (A→∀x B) ∀x(A→B) →…

A: Complete the axiomatization by using and add a rule of universal generalization (∀1∀1) ∀x A→A(y/x)…

Q: We are given two automatons for the following problem: Left automaton = {w E {a, b}" : w is empty or…

A: SUMMARY: - hence we discussed all the points.

Q: Example: Consider a nondeterministic PDA M, = ({9.), {a,b}. (a,b, S}, 8.q..S.) which accepts the…

A: The Answer is in Below Steps

Q: The multiplicative digital root of a natural number n is the product of its digits. For instance,…

A: Solution DFA Definition A DFA can be represented by a 5-tuple (Q, ∑, δ, q0, F) Q is a finite set…

Q: Computer Science Suppose L ⊆{a, b}∗ is defined as follows: Λ∈L; for every x and y in L, the strings…

A: Answer: I have given answered in the handwritten format in brief explanation

Q: Complete the logical proof for the following argument. c is an element in the domain. P(c) \x(P(x) →…

A: ANSWER:-

Q: Suppose that the domain of the propositional function P(x) consists of the integers 1, 2, 3, 4 and…

A: Given: The domain of the propositional function P (x) consists of integers 1, 2, 3, 4, 5. A…

Q: Suppose LS {a, b}* is defined as follows: A e L; for every x and y in L, the strings axb, bxa, and…

A: L⊆AEqB as the proof of The Straight forward structural induction Argument. The other direction by…

Q: Suppose that the domain of Q(x, y, z) consists of triples x, y, z, where x = 0, 1, or 2, y 0 or 1,…

A: Propositions using disjunctions and conjunctions for Q(x,y,z) is option A

Q: What is (A⋂B)' if U = {a,b,c,d,e,f,g}, A = {b,c,d}, B = {c,d,e}?

A: Here in this question we have given three set and we have asked to find the element of (A⋂B)'.…

Q: Design a deterministic finite-state automaton over the alphabet {a; b; c} that accepts words where…

A: Required: Design a deterministic finite-state automaton over the alphabet {a, b, c} that accepts…

Concept explainers

Intelligent Machines

Machines that use artificial intelligence to learn from the environment and past experiences to perform better in the presence of variability and uncertainty are called intelligent machines. Intelligence develops according to environment and experience. It is human-like behavior. When the computer system or any programmed machine learns from the inputs and corresponding outputs, it can be called an intelligent machine.

Question

Construct a CFG that generates L, where L is described below:
L = {w|w€ {a, b}*, #a(x) = #b(x) },
Where #a(x) and #b(x) denote the number of a and b in x respectively. Provide arguments to
convince the reader your solution is correct.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Solution

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Code in C++ only. Correct answer will upvoted else downvoted. framework of size n×m, with the end goal that every cell of it contains either 0 or 1, is considered lovely if the total in each adjoining submatrix of size 2×2 is actually 2, i. e. each "square" of size 2×2 contains precisely two 1's and precisely two 0's. You are given a network of size n×m. At first every cell of this network is unfilled. How about we indicate the cell on the crossing point of the x-th line and the y-th segment as (x,y). You need to handle the inquiries of three sorts: x y −1 — clear the cell (x,y), in case there was a number in it; x y 0 — compose the number 0 in the cell (x,y), overwriting the number that was there already (assuming any); x y 1 — compose the number 1 in the cell (x,y), overwriting the number that was there beforehand (assuming any). After each question, print the number of ways of filling the unfilled cells of the grid so the subsequent network is delightful. Since the appropriate…
Consider the following intermediate code:r1 = 5vl1 = r1jmp Simple.f@0jmp Simple.f@1Simple.f@0:write vl1r2 = 7r3 = vl1 + r2vl1 = r3jmp Simple.f@0Simple.f@1:r0 = vl1return(i) Describe briefly what the optimisation dead code elimination involves.(ii) Show the result of applying dead code elimination to the intermediate code above.
Consider the following two variable bindings in Lisp: (setq x ‘(a b c d)) (setq y ‘(4 3 2 1)) Using only the variables x and y and the functions car, cdr and cons, provide Lisp S-expressions for generating the following: (d c b a) (4 c (b 2)) ((a b c d) . 1) (((a c) (1 2)) . a) ((a 1) (b 2) (c 3) (d 4))
Write a program in c++ to generate a solution to the Sudoku game using the local search for CSP. The objective is to fill a 9×9 grid with digits so that each column, each row, and each of the nine 3×3 sub-grids that compose the grid contain all of the digits from 1 to 9. Your program should print the output like the following example: Use the operation of swapping two random numbers to be your action of generating a child for the current node. Your program should start by generating a random 9x9 square (note that each number should appear 9 times) and then start improving on this state until reaching a goal by the guidance of the fitness function. If your code doesn’t reach a solution after 10 seconds then print out the reached state anyway.
Given g = {(1,c),(2,a),(3,d)}, a function from X = {1,2,3} to Y = {a,b,c,d}, and f = {(a,r),(b,p),(c,δ),(d,r)}, a function from Y to Z = {p, β, r, δ}, write f o g as a set of ordered pairs.
An algorithm to fill any linear structure with all prime numbers between an upper bounding boundary and a lower boundary value that are both keyed in by a user. E.g. If a user key in values like 10 and 20, your algorithm should return a linear structure with all prime numbers in this range. (a) In a step by step format, write an algorithm (b) Implement the algorithm above in Java
Consider a function tetrahedral( ) that computes the n^th tetrahedral number for a given integer n>=0: T(n)= Tri(1)+Tri(2)+Tri(3)+...+Tri(n-1)+Tri(n) where Tri(n) is defined as Tri(n)+1+2+3+...+(n-1)+n a) Implement the function tetrahedral( ) using recursion in order to perform the repeated additions. b) Find an algebraic representation for T(n) that does not require any repeated additions. Implement the function tetrahedral( ) with a one-line definition using this formula.
For the following pairs of expressions, find a unifier for each pair if a unifier exists. If a unifierdoes not exist, explain why.(a) p(X,Y) and p(a,Z)(b) p(X,X) and p(a,b)(c) f(X,Y) and f(a,g(a))(d) q(X) and ¬q(a)
Write a function double lagrange(double x_int[], double y_int[], int n, double x) which calculates the value of the n-th order Lagrange’s polynomial Pn(x) defined for the set of nodes {x(0), y(0)}, ..., {x(n), y(n)}, for a given value of x
solve the problem in java:Consider the are n=2 subjects and needed =[4,5]answered questions, to pass.The student has answered =[2,4] questions in the two subjects so far, and can answer another q=1 questions across all subjects combined. The best outcome is to answer an additional question in the second subject on order to pass it, as 2 more answers required to pass the first subject. the max number of subject s that can be passed is 1. the function must return an integer that can represent the max number of subjects that can be passed. public static int maxNumsub(List <Integer> answered, List<Integer> needed, int q){//write code here}
Show that the given argument is either valid or invalid using resolution. If Sally does her homework, people call Sally a wimp. However, nobody calls Sally a wimp. Therefore, Sally doesn’t do her homework.
Give a recursive definition for the set of all strings of a’s and b’s that begins with an a and ends in a b. Say, S = { ab, aab, abb, aaab, aabb, abbb, abab..} Let S be the set of all strings of a’s and b’s that begins with a and ends in a b. The recursive definition is as follows – Base:... Recursion: If u ∈ S, then... Restriction: There are no elements of S other than those obtained from the base and recursion of S.