2.6 Exercises 1. Show that the following formulas are tautologies: (a) (AAB),¬AV¬B (b) A⇒B-B⇒¬A (c) ((A⇒B) A (B⇒A)) ⇒ (A⇒B) (d) (AVB)^(-BVC) ⇒ (AVC)

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
icon
Related questions
Question
2.6 Exercises
1. Show that the following formulas are tautologies:
(a) (AMB),¬AV¬B
(b) A⇒B¬B⇒¬A
(c) ((A⇒B)^(B⇒A)) ⇒(A⇒B)
(d) (AVB)^(¬BVC) ⇒ (AVC)
2. Transform the following formulas into conjunctive normal form:
(a) A B
(b) AAB AVB
(c) A^ (A⇒B) ⇒B
Transcribed Image Text:2.6 Exercises 1. Show that the following formulas are tautologies: (a) (AMB),¬AV¬B (b) A⇒B¬B⇒¬A (c) ((A⇒B)^(B⇒A)) ⇒(A⇒B) (d) (AVB)^(¬BVC) ⇒ (AVC) 2. Transform the following formulas into conjunctive normal form: (a) A B (b) AAB AVB (c) A^ (A⇒B) ⇒B
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Bare Bones Programming Language
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education