Pushdown Automata: Introduction and Components

Pushdown Automata: Introduction

• Pushdown Automata is a type of automaton that uses a stack to store and retrieve data.
• It is a finite automaton with an infinite memory.

Pushdown Automata: Components

• A pushdown automaton consists of three components: • Finite Control (Q) • Stack (Γ) • Input Alphabet (Σ)

Pushdown Automata: Formal Definition

• A pushdown automaton is formally defined as a 7-tuple (Q, Σ, Γ, δ, q0, F, Z0).
• Q: finite set of states
• Σ: input alphabet
• Γ: stack alphabet
• δ: transition function
• q0: initial state
• F: set of final states
• Z0: initial stack symbol

Pushdown Automata: Graphical Representation

• Pushdown automata can be represented graphically using a transition diagram.
• The transition diagram consists of states and transitions between them.

Pushdown Automata: Examples

• Example 1 demonstrates the basic working of a pushdown automaton.
• Example 2 shows the recognition of an even palindrome using a pushdown automaton.

This quiz covers the basics of Pushdown Automata, including its introduction, components, and formal definition. Test your knowledge of this fundamental concept in computer science.