8 : Q x (EU{e}) × (TU {e}) → Q × (TU {e}) A generalized pushdown automata (GPDA) can pop and push any fixed number of symbols from/on its stack during a single transition. I.e., its trasition function is defined as 8 : Q × £U {e}× I* → Q × T* Notice that all PDAS are also GPDAS. Show that PDAS and GPDAS can recognize exactly the same set of languages. I.e., that for any GPDA, we can construct a PDA that recognizes the same language.

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
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Our definition of a PDA specifies that a PDA can pop zero or one symbols from its stack and can push zero or one symbols onto its stack during a transition. I.e., the transition function is defined as:

 

8 : Q x (EU{e}) × (TU {e}) → Q × (TU {e})
A generalized pushdown automata (GPDA) can pop and push any fixed number of symbols
from/on its stack during a single transition. I.e., its trasition function is defined as
8 : Q × £U {e}× I* → Q × T*
Notice that all PDAS are also GPDAS.
Show that PDAS and GPDAS can recognize exactly the same set of languages. I.e., that for
any GPDA, we can construct a PDA that recognizes the same language.
Transcribed Image Text:8 : Q x (EU{e}) × (TU {e}) → Q × (TU {e}) A generalized pushdown automata (GPDA) can pop and push any fixed number of symbols from/on its stack during a single transition. I.e., its trasition function is defined as 8 : Q × £U {e}× I* → Q × T* Notice that all PDAS are also GPDAS. Show that PDAS and GPDAS can recognize exactly the same set of languages. I.e., that for any GPDA, we can construct a PDA that recognizes the same language.
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