Consider the languages in Table 1. Match them with the suitable PDA from Table 2. Table 1. Table 2. No. Push-down Automata (a,ɛ/A) (b,ɛ/B) (c,B/E) (d,A/E) (E,E/E) (E,E/E) {ambncdm | m, n >0}. (a,ɛ/X) (b,ɛ/X) (c,X/ɛ) (d,X/ɛ) {ambmcnd" | n>0, m >= 0} (b.ex) (c.X/E) (d.x²) 8 (b,ɛ/X) qo 91 92 (a,ɛ/X) (b,ɛ/Y) (c,Y/E) (d,X/ɛ) {a'bickd' | i, j, k, 1 ≥ 0; i = 1 and j=k}. (b.ex) (c.Y/e) (d.x/e) 8 (b,ɛ/Y) B (a,ɛ/ɛ) (b,ɛ/A) (c,A/ɛ) {ambncdª | m+n=p+q}. $&(6.0 (a,ɛ/A) (b,ɛ/ɛ) (c,A/e) {ambm+nc | m, n >= 0} (ε,ɛ/E) (c,A/e) q1 92 (b,X/ɛ) (c,ɛ/Y) (d,Y/ɛ) {ambnc+1| m≥0, n >0}. (ɛ,ɛ/ɛ) (c,&/Y) (d,Y/ɛ) 91 92 (b,X/E) (b,ɛ/Y) (C,Y/E) {am+¹bcm | m > 0, n ≥ 0}. 5. No. Language 1. 2. 3. 4. 5. 6. 7. (E,E/E) (b,ɛ/A) (a,ɛ/ɛ) qo (a,ɛ/X) 9⁰ (a,ɛ/X) (E,E,E) (C,ɛ/E) (E,E,E) (E,E,E)

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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Consider the languages in Table 1. Match them with the suitable PDA from Table 2.
Table 1.
Table 2.
No.
Push-down Automata
(a,E/A)
(b,e/B)
(c,B/E)
(d,A/c)
(6,E/8)
{amb^cdm | m, n > O}.
(c,X/8) (d,X/8)
{ambmc^dn | n > 0, m >= 0}
8
(d,X/8)
{a'b/ckd \ i, j, k, I≥ 0; i = T and
j = k}.
{amb^c?d9 | m + n = p + q}.
{ambmtnc¢ [ m,n >= 0}
{amb^c+1 | m ≥0, n >0}.
{am+1b^cm | m>0, n ≥ 0}.
5.
No. Language
1.
2.
3.
4.
5.
6.
7.
(6,8/8)
(a,8/X) (b,8/X)
(b,e/x) c,X/8) 31
(d,X/e)
9⁰
91
(a,8/X)
(b,E/Y)
(c,Y/8)
€o
(b,e/Y)
WA
(d,X/8)
(b,8/A) (c,A/8)
(c,e/8)
(a,c/A)
(b,E/E)
(c,A/8)
(a,e/8) (e,e/6)
(c,A/E)
qo
91
q2
(a,&/X) (b,X/8) (c,&/Y) (d,Y/8)
(6,8/8)
(c,&/Y) (d,Y/e)
ஏo
91
92
(a,e/X)
(b,X/E)
(b,e/Y)
(c,Y/E)
(E,6,8) (E,E,E)
(a,8/8)
.8.
(b,E/A)
(E,E/E)
(E,E,E)
Transcribed Image Text:Consider the languages in Table 1. Match them with the suitable PDA from Table 2. Table 1. Table 2. No. Push-down Automata (a,E/A) (b,e/B) (c,B/E) (d,A/c) (6,E/8) {amb^cdm | m, n > O}. (c,X/8) (d,X/8) {ambmc^dn | n > 0, m >= 0} 8 (d,X/8) {a'b/ckd \ i, j, k, I≥ 0; i = T and j = k}. {amb^c?d9 | m + n = p + q}. {ambmtnc¢ [ m,n >= 0} {amb^c+1 | m ≥0, n >0}. {am+1b^cm | m>0, n ≥ 0}. 5. No. Language 1. 2. 3. 4. 5. 6. 7. (6,8/8) (a,8/X) (b,8/X) (b,e/x) c,X/8) 31 (d,X/e) 9⁰ 91 (a,8/X) (b,E/Y) (c,Y/8) €o (b,e/Y) WA (d,X/8) (b,8/A) (c,A/8) (c,e/8) (a,c/A) (b,E/E) (c,A/8) (a,e/8) (e,e/6) (c,A/E) qo 91 q2 (a,&/X) (b,X/8) (c,&/Y) (d,Y/8) (6,8/8) (c,&/Y) (d,Y/e) ஏo 91 92 (a,e/X) (b,X/E) (b,e/Y) (c,Y/E) (E,6,8) (E,E,E) (a,8/8) .8. (b,E/A) (E,E/E) (E,E,E)
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