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a,Z ->aZ |а,а ->empty a,b->a A1 |а, а->empty a,b ba S empty,Z->empty |A3 A2 Z,empty->empty а,а->аа

a,Z ->aZ |а,а ->empty a,b->a A1 |а, а->empty a,b ba S empty,Z->empty |A3 A2 Z,empty->empty а,а->аа

Database System Concepts
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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Construct a grammar for this NPDA.

 

Green means final state

The image depicts a state transition diagram used in automata theory, showcasing the operations of a pushdown automaton (PDA). This diagram uses labeled arrows to represent state transitions based on input symbols and stack operations. Here's a detailed description: ### States: - **S**: Initial state - **A1**: Intermediate state - **A2**: Another intermediate state - **A3**: Accepting state ### Transitions: - **From S**: - On input `(a, Z -> aZ)`, it transitions to **A1**. - On input `(a, a -> aa)`, it loops back to **S**. - On input `(a, b -> a)`, it transitions to **A1**. - On input `(empty, Z -> empty)`, it transitions to **A3**. - **From A1**: - On input `(a, a -> empty)`, it transitions to **A2**. - On input `(a, b -> a)`, it loops to itself. - **From A2**: - On input `(a, a -> empty)`, it loops to itself. - On input `(Z, empty -> empty)`, it transitions to **A3**. ### Acceptance: - The automaton accepts the input upon reaching **A3** with no further pending operations. This diagram captures a typical PDA configuration where the stack and input symbols dictate state transitions, demonstrating fundamental concepts in automata theory for processing context-free languages.
Transcribed Image Text:The image depicts a state transition diagram used in automata theory, showcasing the operations of a pushdown automaton (PDA). This diagram uses labeled arrows to represent state transitions based on input symbols and stack operations. Here's a detailed description: ### States: - **S**: Initial state - **A1**: Intermediate state - **A2**: Another intermediate state - **A3**: Accepting state ### Transitions: - **From S**: - On input `(a, Z -> aZ)`, it transitions to **A1**. - On input `(a, a -> aa)`, it loops back to **S**. - On input `(a, b -> a)`, it transitions to **A1**. - On input `(empty, Z -> empty)`, it transitions to **A3**. - **From A1**: - On input `(a, a -> empty)`, it transitions to **A2**. - On input `(a, b -> a)`, it loops to itself. - **From A2**: - On input `(a, a -> empty)`, it loops to itself. - On input `(Z, empty -> empty)`, it transitions to **A3**. ### Acceptance: - The automaton accepts the input upon reaching **A3** with no further pending operations. This diagram captures a typical PDA configuration where the stack and input symbols dictate state transitions, demonstrating fundamental concepts in automata theory for processing context-free languages.
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