2. Laws of logical connectives example ( Enter your problem )
  1. Laws of logical connectives
  2. Prove Commutative laws
  3. Prove Associative laws
  4. Prove De-Morgan's laws
  5. Prove Distributive laws
  6. Prove Negation law
  7. Prove Absorption laws
  8. Laws for Tautology
  9. Laws for Contradiction
  10. Implication
  11. Double Implication
Other related methods
  1. Definitions of truth table
  2. Laws of logical connectives
  3. Truth table
  4. Valid or invalid argument in logic

1. Definitions of truth table
(Previous method)
2. Prove Commutative laws
(Next example)

1. Laws of logical connectives





1. Commutative laws
1. `p vv q = q vv p`
2. `p ^^ q = q ^^ p`

2. Associative laws
1. `(p vv q) vv r = p vv (q vv r)`
2. `(p ^^ q) ^^ r = p ^^ (q ^^ r)`

3. De-Morgan's laws
1. `~(p vv q) = ~ p ^^ ~ q`
2. `~(p ^^ q) = ~ p vv ~ q`

4. Distributive laws
1. `p ^^ (q vv r) = (p ^^ q) vv (p ^^ r)`
2. `p vv (q ^^ r) = (p vv q) ^^ (p vv r)`

5. Negation law
1. `~(~ p) = p`

6. Absorption laws
1. `p ^^ (p vv q) = p`
2. `p vv (p ^^ q) = p`





This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here



1. Definitions of truth table
(Previous method)
2. Prove Commutative laws
(Next example)





Share this solution or page with your friends.
 
 
Copyright © 2026. All rights reserved. Terms, Privacy
 
 

.