**Pushdown Automaton Diagram and Analysis***Diagram and Explanation:*The diagram represents a pushdown automaton (PDA) with four states: A, B, C, and D. - There are directed edges indicating transitions between these states based on input symbols and stack operations.- Each transition is labeled with a format: `input symbol, stack top → push/pop symbol`.**States and Transitions:**- **State A**: - Transition to B: `ε, ε → $` (Push $ onto the stack when reading ε).- **State B**: - Loop on B: - `0, ε → 0` (Push 0 onto the stack when reading 0). - `1, ε → 1` (Push 1 onto the stack when reading 1). - Transition to C: - `1, ε → ε` (Read 1 and do not change the stack).- **State C**: - Loop on C: - `0, 0 → ε` (Pop 0 from the stack when reading 0). - `1, 1 → ε` (Pop 1 from the stack when reading 1). - Transition to D: `ε, $ → ε` (Pop $ from the stack when reading ε).**State D** is the accepting state.*Questions and Answers:*1. **What is the input alphabet? What is the stack alphabet? Explain how you know.** - Input Alphabet: {0, 1} - Determined from transitions based on input symbols read. - Stack Alphabet: {0, 1, $} - Items pushed or popped from the stack during transitions.2. **What are the states and stack contents for processing the string 0100? Is the string accepted?** - Process: - A to B (Push $) - B to B (0, Push 0) - B to C (1, No change) - C to C (0, Pop 0) - C to D (ε, Pop $) - Stack: Initially ε, becomes $, then $0, back to $, and final ε when accepted. - The string 0100 is accepted.3. **What is the language accepted by this pushdown automaton?** - The language consists

Pushdown automata (PDAs) are a kind of abstract machine that may be used to model the behavior of a…

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

See similar textbooks

Similar questions

What is the time complexity of pushing and popping items to/from a stack containing n items, respectively? What is the time complexity of dequeue and enqueue operations on a FIFO queue containing n itmes, respectively?Suppose you push 1, 4, 7, and 10 onto the stack. Then you pop two times. Then add 3 to the number at the top and push the sum to the stack. Which are the numbers left on the stack? (write from bottom to the top). As other items are inserted and removed, does a particular item in a queue move along the array from lower to higher indices, or higher to lower, or not move?
Write a function that uses a stack to determine whether a string is in the language L, where L= {ss': s is a string of characters, s'= reverse (s) } The following strings are not in the language: The empty string, a string with fewer than two characters, and a string with an odd number of characters (for example Jo]). Examples of strings that are in the language: AbbA GolnarranloG. Joo]
For the following pseudo-code of a recursive program mod that computes a modb given a, b as inputs, trace the stack contents during the execution of the callmod (23, 7). procedure mod (a, b) if (a < b) then mod := a else { x := a − b 1 : mod( , ) 1 1 y = x b mod:= 1 y } end mod
create a Stack (show the push and pop method)and a Queue (show the enqueue and dequeue) ın one example. isfull() and isempty(). write a java code.
Write the following algorithm in C language.
:Symbols of stack are {a,b,c,d} {a,b,c,d,$} Uɛ {a,b] {a,b,$}Uɛ Answer about these questions: b, e>b c, bE d, aE a, e→a c, bE 93 d, aE 94 E, $→E 96 E, ES b, e > b
Two stacks of positive integers are needed, one containing elements withvalues less than or equal to 1,000 and the other containing elements with values larger than 1,000.The total number of elements in the small-value stack and the large-value stack combined are notmore than 200 at any time, but we cannot predict how many are in each stack. (All of the elements2could be in the small-value stack, they could be evenly divided, both stacks could be empty, andso on.). Implement the push operation; it should store the new item into the correct stack accordingto its value (compared to 1,000).
Write a program that takes as input an arithmetic expression. The program outputs whether the expression contains matching grouping symbols (brackets and parentheses). For example, the arithmetic expressions {25 + (3 – 6) * 8} and 7 + 8 * 2 contains matching grouping symbols. However, the expression 5 + {(13 + 7) / 8 - 2 * 9 does not contain matching grouping symbols. You must use a stack and/or queue. USE THE FOLLOWING DATA FILE //Header file: stackADT.h #ifndef H_StackADT#define H_StackADT template <class Type>class stackADT{public:virtual void initializeStack() = 0;//Method to initialize the stack to an empty state.//Postcondition: Stack is emptyvirtual bool isEmptyStack() const = 0;//Function to determine whether the stack is empty.//Postcondition: Returns true if the stack is empty,// otherwise returns false.virtual bool isFullStack() const = 0;//Function to determine whether the stack is full.//Postcondition: Returns true if the stack is full,// otherwise returns…