Question

Are the statement forms P∨((Q∧R)∨ S) and ¬((¬ P)∧(¬(Q∧ R)∧ (¬ S))) logically equivalent? I found...

Are the statement forms P∨((Q∧R)∨ S) and ¬((¬ P)∧(¬(Q∧ R)∧ (¬ S))) logically equivalent? I found that they were not logically equivalent but wanted to check. Also, does the negation outside the parenthesis on the second statement form cancel out with the negation in front of P and in front of (Q∧ R)∧ (¬ S)) ?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1) Show that ¬p → (q → r) and q → (p ∨ r) are logically...
1) Show that ¬p → (q → r) and q → (p ∨ r) are logically equivalent. No truth table and please state what law you're using. Also, please write neat and clear. Thanks 2) .Show that (p ∨ q) ∧ (¬p ∨ r) → (q ∨ r) is a tautology. No truth table and please state what law you're using. Also, please write neat and clear.
(1) Determine whether the propositions p → (q ∨ ¬r) and (p ∧ ¬q) → ¬r...
(1) Determine whether the propositions p → (q ∨ ¬r) and (p ∧ ¬q) → ¬r are logically equivalent using either a truth table or laws of logic. (2) Let A, B and C be sets. If a is the proposition “x ∈ A”, b is the proposition “x ∈ B” and c is the proposition “x ∈ C”, write down a proposition involving a, b and c that is logically equivalentto“x∈A∪(B−C)”. (3) Consider the statement ∀x∃y¬P(x,y). Write down a...
are they logically equivalent (show how) truth table or in word:: a) p —> ( q...
are they logically equivalent (show how) truth table or in word:: a) p —> ( q —> r ) and ( p -> q) —> r b) p^ (q v r ) and ( p ^ q) v ( p ^ r )
Discrete Math 1. Write the compound statements  in disjunctive normal form. (Since they are logically equivalent, they...
Discrete Math 1. Write the compound statements  in disjunctive normal form. (Since they are logically equivalent, they have the same disjunctive normal form, so you only need to give one answer.   (p → q) ∧ (¬r → q) and (p ∨ ¬r) → q 2. Consider the premises: • It is not snowing today and it is windy; • School will be canceled only if it is snowing today; • If school is not canceled today, then our study group will...
Let​ p, q, and r represent the following simple statements. ​p: It is snowing outside ​q:...
Let​ p, q, and r represent the following simple statements. ​p: It is snowing outside ​q: It is cold ​r: It is cloudy. Write the following compound statement in its symbolic form. If it is snowing outside then it is cold or it is not cloudy
2. a. In what order are the operations in the following propositions performed? i. P ∨  ...
2. a. In what order are the operations in the following propositions performed? i. P ∨   ¬q ∨   r ∧   ¬p ii. P ∧   ¬q ∧   r ∧   ¬p iii. p ↔ q ∧   r → s b. Suppose that x is a proposition generated by p, q, and r that is equivalent to p ∨   ¬q. Write out x as a function of p, q, and r, and then give the truth table for x
2. Let A = {p, q, r, s}, B = {k, l, m, n}, and C...
2. Let A = {p, q, r, s}, B = {k, l, m, n}, and C = {u, v, w}, Define f : A→B by f(p) = m, f(q) = k, f(r) = l, and f(s) = n, and define g : B→C by g(k) = v, g(l) = w, g(m) = u, and g(n) = w. Also define h : A→C by h = g ◦ f. (a) Write out the values of h. (b) Why is it that...
Kari has identified three loci, Q, R, S, found in order on the q arm of...
Kari has identified three loci, Q, R, S, found in order on the q arm of a pair of homologous chromosomes. In recent experiments, she has generated a triple heterozygote from a triple dominant parent (QQRRSS) and a triple recessive parent (qqrrss). a) Sketch the arrangement of the alleles on each homologue after the chromosomes have condensed, but before any crossing over has occurred. b) Name the possible genotypes of a gamete derived from a chromatid for which no homologous...
Consider permutations of the 26-character lowercase alphabet Σ={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}. In how many of these permutations do a,b,c...
Consider permutations of the 26-character lowercase alphabet Σ={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}. In how many of these permutations do a,b,c occur consecutively and in that order? In how many of these permutations does a appear before b and b appear before c?
Labor Relations- Chapter 5- G o v e r n m e n t s ,...
Labor Relations- Chapter 5- G o v e r n m e n t s , L a b o u r R e l a t i o n s B o a r d s , a n d O t h e r P a r t i e s Case Study- Quality Inn & Suites Brantford v. UFCW Local 175 In January 2012 the Ontario Labour Relations Board was asked to consider an application for the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT