My Math Forum  

Go Back   My Math Forum > College Math Forum > Applied Math

Applied Math Applied Math Forum


Reply
 
LinkBack Thread Tools Display Modes
October 11th, 2014, 01:16 AM   #1
Newbie
 
Joined: Oct 2014
From: Mauritius

Posts: 1
Thanks: 0

Simplification Normal Form - predicate logic

Hi!
Can you please help me solve this question?

(p → (q Λ r V s)) → ((p → q) V (r V s))

Convert into Disjunctive Normal Form(DNF) and Conjunctive Normal Form(CNF).

Thank you in advance..
Estelle is offline  
 
October 11th, 2014, 06:17 AM   #2
Senior Member
 
Joined: Dec 2013
From: Russia

Posts: 327
Thanks: 108

Have you seen any examples of similar problems? What have you tried? Is q Λ r V s parsed as (q Λ r) V s or as q Λ (r V s)?

Are you allowed to use truth tables? Then construct a truth table and select rows where the value of the formula is 1. For example, suppose this happens when p = T, q = F, r = T and s = F. To such row corresponds the disjunct $p\land \neg q\land r\land\neg s$. Collect all such disjuncts into a disjunction. That would be the DNF.
Evgeny.Makarov is offline  
Reply

  My Math Forum > College Math Forum > Applied Math

Tags
form, logic, normal, predicate, simplification



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
predicate logic skaur Applied Math 1 January 6th, 2014 05:51 PM
Predicate Logic mohitpd Applied Math 0 October 26th, 2013 07:45 PM
Predicate Logic pavankumar.thati Applied Math 0 April 16th, 2013 09:26 AM
Predicate Logic translation. >_< pinkcheese Applied Math 0 November 22nd, 2010 08:40 PM
Sets and Predicate logic Zhai Applied Math 7 February 22nd, 2010 06:32 PM





Copyright © 2019 My Math Forum. All rights reserved.