. For the PDA's shown in Fig. 1 and Fig. 2, which one/ones or no one would accept the language L = {x € {a,b}* | N₁(x) = 1 + N₂(x)} by empty stack? Use the execution of the string babaa to justify your answer. You need to create/use your own text boxes for your work in the tables. X Start a, X a, a push(a) push(a) b, X push(b) b, b push(b) Start (0, babaa, X) A, X X or 1. nop pop b, X push(b) Sol. For the PDA in Figure 1, we have b, a pop push(a) a, X a, a a, b push(a) push(a) pop Fig. 1 b, b push(b) 2 Fig. 2 a, b pop b,X push(b) AX AX or nop pop b, a pop A, X nop 1 or (0, babaa, X) A, X pop b, a pop la, b pop For the PDA in Figure 2, we have

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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Question
. For the PDA's shown in Fig. 1 and Fig. 2, which one/ones or no one would accept the
language L = {x € {a,b}* | N₁(x) = 1 + N₂(x)} by empty stack? Use the execution of the
string babaa to justify your answer. You need to create/use your own text boxes for your
work in the tables.
Transcribed Image Text:. For the PDA's shown in Fig. 1 and Fig. 2, which one/ones or no one would accept the language L = {x € {a,b}* | N₁(x) = 1 + N₂(x)} by empty stack? Use the execution of the string babaa to justify your answer. You need to create/use your own text boxes for your work in the tables.
X
Start
a, X
a, a
push(a) push(a)
b, X
push(b)
b, b
push(b)
Start
(0, babaa, X)
A, X
X
or 1.
nop pop
b, X
push(b)
Sol.
For the PDA in Figure 1, we have
b, a
pop
push(a)
a, X
a, a
a, b
push(a) push(a) pop
Fig. 1
b, b
push(b)
2
Fig. 2
a, b
pop
b,X
push(b)
AX AX
or
nop
pop
b, a
pop
A, X
nop
1
or
(0, babaa, X)
A, X
pop
b, a
pop
la, b
pop
For the PDA in Figure 2, we have
Transcribed Image Text:X Start a, X a, a push(a) push(a) b, X push(b) b, b push(b) Start (0, babaa, X) A, X X or 1. nop pop b, X push(b) Sol. For the PDA in Figure 1, we have b, a pop push(a) a, X a, a a, b push(a) push(a) pop Fig. 1 b, b push(b) 2 Fig. 2 a, b pop b,X push(b) AX AX or nop pop b, a pop A, X nop 1 or (0, babaa, X) A, X pop b, a pop la, b pop For the PDA in Figure 2, we have
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