Construct, in each case, a DFA/NFA that recognises L(G), where G is a regular grammar with productions (a) S _→ b|aS|aA, A _→ a|aA|bS. (b) S _→ aS|bS|aA, A _→ bB, B _→ aC, C _→ ε. Design NFAs and DFAs that accept the following languages: (a) a+ ∪ b∗a∗ . (b) aa∗(a ∪ b). (c) (a ∪ bb)∗(ba∗ ∪ ε). (d) (ab∗aa ∪ bba∗ab). (e) Complement of (ab ∗ aa ∪ bba∗ab). (f) (aa∗ ∪ aba∗b∗). (g) (a ∪ b)∗b(a ∪ bb)∗ . (h) (abab)∗ ∪ (aaa∗ ∪ b∗). (i) ((aa∗)∗b)∗ . (j) (ab∗a∗) ∪ ((ab)∗ba). (k) (ab∗a∗) ∩ ((ab)∗ba).
Construct, in each case, a DFA/NFA that recognises L(G), where G is a regular grammar with productions (a) S _→ b|aS|aA, A _→ a|aA|bS. (b) S _→ aS|bS|aA, A _→ bB, B _→ aC, C _→ ε. Design NFAs and DFAs that accept the following languages: (a) a+ ∪ b∗a∗ . (b) aa∗(a ∪ b). (c) (a ∪ bb)∗(ba∗ ∪ ε). (d) (ab∗aa ∪ bba∗ab). (e) Complement of (ab ∗ aa ∪ bba∗ab). (f) (aa∗ ∪ aba∗b∗). (g) (a ∪ b)∗b(a ∪ bb)∗ . (h) (abab)∗ ∪ (aaa∗ ∪ b∗). (i) ((aa∗)∗b)∗ . (j) (ab∗a∗) ∪ ((ab)∗ba). (k) (ab∗a∗) ∩ ((ab)∗ba).
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
Construct, in each case, a DFA/NFA that recognises L(G), where G is a regular grammar with productions
(a) S _→ b|aS|aA, A _→ a|aA|bS.
(b) S _→ aS|bS|aA, A _→ bB, B _→ aC, C _→ ε.
Design NFAs and DFAs that accept the following languages:
(a) a+ ∪ b∗a∗ .
(b) aa∗(a ∪ b).
(c) (a ∪ bb)∗(ba∗ ∪ ε).
(d) (ab∗aa ∪ bba∗ab).
(e) Complement of (ab ∗ aa ∪ bba∗ab).
(f) (aa∗ ∪ aba∗b∗).
(g) (a ∪ b)∗b(a ∪ bb)∗ .
(h) (abab)∗ ∪ (aaa∗ ∪ b∗).
(i) ((aa∗)∗b)∗ .
(j) (ab∗a∗) ∪ ((ab)∗ba).
(k) (ab∗a∗) ∩ ((ab)∗ba).
(l) (a ∪ b)a∗ ∩ baa∗ .
(m) (aa ∪ bb)∗(ab ∪ ba)(aa ∪ bb)∗ .
(n) (aaa)∗b ∪ (aa)∗b.
(o) (a(ab)∗(aa ∪ b) ∪ b(ba)∗(a ∪ bb))∗ .
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