(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 = {a"b"c{m-n) | m >n} = {amb"cmn | m, n > 0} L = {a"b"cm | m > n}
(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 = {a"b"c{m-n) | m >n} = {amb"cmn | m, n > 0} L = {a"b"cm | m > n}
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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![(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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36ddeaf3-a873-46a8-b6ce-b10c03cda8ad%2F4eff772b-e941-44bd-b304-5560d782f198%2Fji3e486a_processed.jpeg&w=3840&q=75)
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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