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Find a regular grammar for the following languages (a) L(aa" (ab+ a)*) (b) L((aab*ab)") (c) L= {w: (na(w) – no(w)) mod 3 = 1} %3D 5 Provo +h

Find a regular grammar for the following languages (a) L(aa" (ab+ a)*) (b) L((aab*ab)") (c) L= {w: (na(w) – no(w)) mod 3 = 1} %3D 5 Provo +h

Database System Concepts
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
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Find a regular grammar for the following languages (a) L(aa* (ab+ a)*) (b) L((aab ab)") (c) L= {w: (na(w) - no(w)) mod 3 = 1} 4. %3D %3D 5. Prove that the following langauges are not regular (a) L = {ww: w E {a, b}*} (b) L = {a"b* : n > k} (c) L = {a"b" :n+m > k > 0} (d) L = {w E {a, b}* : 2na(w) = 3n, (w)} 6. Find context free grammars for the following languages (a) L = {a"b™ : n, m > 0 and n + m} (b) L = {a"b™c :n > m > 0 or m > k > 0} (c) L = {a"b™c : n + m > k > 0} (d) L = {w E {a, b, c}* : n1(w) = na(w) + ne(w)} 1
Transcribed Image Text:Find a regular grammar for the following languages (a) L(aa* (ab+ a)*) (b) L((aab ab)") (c) L= {w: (na(w) - no(w)) mod 3 = 1} 4. %3D %3D 5. Prove that the following langauges are not regular (a) L = {ww: w E {a, b}*} (b) L = {a"b* : n > k} (c) L = {a"b" :n+m > k > 0} (d) L = {w E {a, b}* : 2na(w) = 3n, (w)} 6. Find context free grammars for the following languages (a) L = {a"b™ : n, m > 0 and n + m} (b) L = {a"b™c :n > m > 0 or m > k > 0} (c) L = {a"b™c : n + m > k > 0} (d) L = {w E {a, b, c}* : n1(w) = na(w) + ne(w)} 1
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