(1) For each of the following languages, say whether it is context-free. If so, write a CFG or draw a PDA (non-mathematically) that generates the language. If not, prove it using the pumping lemma and/or closure properties for CFLS. (a) (Ъ) (c) (d) L%3D {a"^ | n> 아}. |n > 0}. L = {amb"c{m-n) | m > n} L = {amb"cmn | m, n > 0} L = {a"b"c™ | m > n} %3D

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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(1) For each of the following languages, say whether it is context-free. If so, write a CFG
or draw a PDA (non-mathematically) that generates the language. If not, prove it using the
pumping lemma and/or closure properties for CFLS.
(a)
(b)
(c)
(d)
L = {a" | n > 0}.
L = {amb"c{m-n) | m > n}
{amb"cm" | m, n 2 0}
L = {a"b" cm | m > n}
L
Transcribed Image Text:(1) For each of the following languages, say whether it is context-free. If so, write a CFG or draw a PDA (non-mathematically) that generates the language. If not, prove it using the pumping lemma and/or closure properties for CFLS. (a) (b) (c) (d) L = {a" | n > 0}. L = {amb"c{m-n) | m > n} {amb"cm" | m, n 2 0} L = {a"b" cm | m > n} L
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