A Consider the following pushdown automaton: 0, € → 0 1,1 A €, € → $ B assume the alphabet is Σ 000onta 1, € → € 0,0 ➜ € 1,1 →→ € €, $ → € D 0, € € 1. What is the input alphabet? What is the stack alphabet? Explain how you know. 2. What are the states and stack contents for processing the string 0100? Is the string accepted? 3. What is the language accepted by this pushdown automata? 4. Justify why your answer about the accepted language is correct with several sentences. B Create a pushdown automaton to recognize the language L = {w/w is a word of Σ* of the form ab"c" for some non-negative integers n} {a,b,c}. Write a sentence or two to justify why your pushdown automaton

A Consider the following pushdown automaton: 0, € → 0 1,1 A €, € → $ B assume the alphabet is Σ 000onta 1, € → € 0,0 ➜ € 1,1 →→ € €, $ → € D 0, € € 1. What is the input alphabet? What is the stack alphabet? Explain how you know. 2. What are the states and stack contents for processing the string 0100? Is the string accepted? 3. What is the language accepted by this pushdown automata? 4. Justify why your answer about the accepted language is correct with several sentences. B Create a pushdown automaton to recognize the language L = {w/w is a word of Σ* of the form ab"c" for some non-negative integers n} {a,b,c}. Write a sentence or two to justify why your pushdown automaton

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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A Consider the following pushdown automaton: 0, € → # 1, € →→ # A €, € $ B 1, € € 0, #→→ E 1, #→→ E €, $ D 1. What is the input alphabet? What is the stack alphabet? Explain how you know. 2. What are the states and stack contents for processing the string 010? Is the string accepted? 3. What is the language accepted by this pushdown automata? 4. Justify why your answer about the accepted language is correct with several sentences. B Create a pushdown automaton to recognize the language L = {w/w is a word of Σ* of the form an+1b" for some positive integer n} assume the alphabet is Σ = {a, b}. Write a sentence or two to justify why your pushdown automaton accepts L.
In the below pseudo-code, we are using a stack of characters to determine whether a sequence of parentheses is balanced or not. For example, (()) is balanced and ()()) is unbalanced. What is true about the below pseudo-code? while (not the end of sequence){ read next input if ( the input is a `(` ) push it on the stack else if ( the input is a `)` and the stack is not empty) pop a character off the stack else print ”unbalanced” and exit } if (the top of the stack is '(') print "unbalanced" and exit print ”balanced” Select one: a. The pseudo-code is correct and it always gives correct result. b. The pseudo code is incorrect but it will give correct result for some sequences. c. The pseudo code only works correctly for unbalanced sequences. d. None of the above. e. The pseudo code is incorrect and it will give incorrect result for all non-empty sequences.
Define StackQueue as an abstract data type containing the operations of both stack and queue. In StackQueue, the top of StackQueue is the same as the front of the StackQueue. Based on the program below, write down the output. If StackQueue X contains numbers {1, 2, 3, 4)}, where 1 is the front/top, the print format "print(X)" is “(front/top) 1 234 (rear)". StackQueue *A, *B; A = malloc(sizeof(StackQueue)); B = malloc (sizeof(StackQueue)); push(A, 11); push(A, 111); push(A, 1111); push(A, 11111); print(A); // part (a) enqueue (B, topandpop(A)); enqueue (B, top(A)); enqueue (B, dequeue(B)); print(B); // part (b) enqueue (A, dequeue(B) + top(A)); push(A, dequeue (A) + popandtop(B)); print(A); // part (c) What are the output for part (a), part (b) and part (c)?
A Consider the following pushdown automaton: 1, € → # 1, € → # 1, € → # 3 3 A o A1 A2 A3 A4 0, € → € 0, € →→ € 0, # →→ € 1. What is the input alphabet? What is the stack alphabet? Explain how you know. 2. What are the states and stack contents for processing the string 0011? Is the string accepted? 3. What is the language accepted by this pushdown automata? 4. Justify why your answer about the accepted language is correct with several sentences.
Imagine a stack of dishes, literally. The stack may collapse if it becomes too tall.Therefore, when the prior stack above a certain threshold in real life, we probably start a new stack. Create a data structure called SetOfStacks to resemble this. When a stack's capacity is reached, a new stack should be created and added to the SetOfStacks. SetOfStacks. SetOfStacks with push(). In other words, pop() should return the same values as it would if there were only one stack. It should operate exactly like a single stack.TAKE ACTIONCreate a function called popAt(int index) that does a pop operation on a certain substack.
The puzzle includes various sizes of coins. It starts with an order of size, taking the top one the least. The puzzle needs to be constructed to have a conical shape and consider these laws: In every step, you can push one coin; every move includes taking the upper coin from the stack and putting it on top of other stack or starting a new stack. None of the coins can be put on top of the smaller coin; finally, at any moment, at most L, various stacks can be in use. Make PDDL in a way it will not rely on A and L.
A stack allows three operations - push, pop and top. Operation push puts the input element at the top of the stack. Operation pop takes the top element out of the stack and returns it to the caller. Operation top only returns the top element of the stack without deleting it from the top of the stack. Consider an initially empty stack of English words. Let us consider the following operations (separated by semicolons) on the stack. top; push where; top; push the; push mind; top; push has; pop; push is; top; push without; push dear; pop; push fear; top; push and; push the; top; push bed; pop; top; push head; top; push is; push held; push high; From this point on, we continue executing only the operation pop on the stack, until the stack is empty. The output of these pop operations only is as follows. highheldisheadtheandfearwithoutismindthewhere Note that there is no space on either side of the words printed by the pop operation. This ends the first phase of operations on the stack.…
Could you help explain the difference between the restricted version of the stack and the unbounded version of the stack? Thank you for your time.
a) How can we implement a stack using only a priority queue and one additional integer variable? Show that by writing pseudocode implementation for all methods in the stack ADT b) How can we implement a queue using only a priority queue and one additional integer variable? Show that by writing pseudocode implementation for all methods in the queue ADT 3.
Here is a PDA that is nearly finished. It is designed to recognize the language { a"b²n |n > 0 }. To finish it, two more triples are needed at the location marked by the question mark. What are they? Write each triple without using any spaces. If you need a lambda or empty stack symbol write exactly the word lambda or emptystack (eg, lambda,emptystack,emptystack or b,emptystack,bemptystack). Triple 1: (write the shorter of the two triples here) Triple 2: (write the longer of the two triples here)
Consider the fundamental theorem of arithmetic, which is stated as follows:Every positive integer greater than 1 can be written uniquely as a prime or as the product of twoor more primes, where the prime factors are written in order of nondecreasing size. We want touse a stack to read a number and print all of its prime divisors in descending order. For example,with the integer 2100, the output should be:7 5 5 3 2 21. Write an algorithm, called Prime_Factorization, which accepts a positive integer greaterthan 1, and generates its prime factorization according to the above-mentioned theorem.[Hint: The smallest divisor greater than 1 of any integer is guaranteed to be a prime.]2. Propose a stack class to accommodate this prime decomposition. It should have at leasttwo member functions: One to compute the prime factorization of an integer, and one toprint all corresponding prime divisors in descending order.3. Give an implementation of all member functions defined in the above stack…
Suppose you have a stack with a maximum size of 1000 elements and you want to perform the following operations: Push 500 elements onto the stack. Pop 200 elements from the stack. Push 800 elements onto the stack. Pop all remaining elements from the stack. What is the final size of the stack after performing all these operations?