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¬ G p
Equivalent:
¬ (False R p)
•
¬ (p W False)
•
F ¬ p
•
True U (¬ p ∧ True)
•
True U ¬ p
•
p U ¬ p
•
¬ G p
•
¬ (p ∧ X G p)
•
F (True S (¬ p ∧ True))
•
F F ¬ p
•
¬ G (p B False)
•
¬ G G p
•
¬ p ∨ X F ¬ p
•
F G O ¬ p
•
¬ F G H p
•
¬ G F H p
•
G F O ¬ p
Complement:
¬ F ¬ p
•
False R p
•
G p
•
p W False
•
G (p B False)
•
G G p
•
p ∧ X G p
•
F G H p
•
G F H p
DBW
¬ q U (p ∧ ¬ q)
Equivalent:
¬ (¬ p W q)
•
¬ q U (p ∧ ¬ q)
•
F (p ∧ H ¬ q)
•
¬ G (p → O q)
Complement:
¬ p W q
•
G (p → O q)
NBW
¬ G (¬ p ∨ ¬ q)
Equivalent:
F (p ∧ q)
•
¬ G (¬ p ∨ ¬ q)
Complement:
G (¬ p ∨ ¬ q)
NBW
F (p ∨ q)
Equivalent:
F (p ∨ q)
•
F p ∨ F q
Complement:
¬ F (p ∨ q)
•
G (¬ p ∧ ¬ q)
•
¬ (F p ∨ F q)
•
G ¬ p ∧ G ¬ q
NBW
¬ G (p ∧ q)
Equivalent:
F (¬ p ∨ ¬ q)
•
¬ G (p ∧ q)
•
¬ (G p ∧ G q)
•
F ¬ p ∨ F ¬ q
Complement:
G (p ∧ q)
•
G p ∧ G q
NBW
p U (q ∨ r)
Equivalent:
p U (q ∨ r)
•
p U q ∨ p U r
Complement:
(¬ q ∧ ¬ r) W (¬ p ∧ ¬ q ∧ ¬ r)
•
¬ (p U (q ∨ r))
•
¬ p R ¬ (q ∨ r)
•
¬ (p U q ∨ p U r)
•
¬ q W (¬ p ∧ ¬ q) ∧ ¬ r W (¬ p ∧ ¬ r)
NBW
¬ r U ((¬ p ∨ ¬ q) ∧ ¬ r)
Equivalent:
¬ ((p ∧ q) W r)
•
¬ r U ((¬ p ∨ ¬ q) ∧ ¬ r)
•
¬ (p W r ∧ q W r)
•
¬ r U (¬ p ∧ ¬ r) ∨ ¬ r U (¬ q ∧ ¬ r)
Complement:
(p ∧ q) W r
•
p W r ∧ q W r
NBW
¬ p U (q ∧ ¬ p)
Equivalent:
¬ (¬ q W p)
•
¬ p U (q ∧ ¬ p)
•
F (q ∧ H ¬ p)
•
¬ G (q → O p)
Complement:
¬ q W p
•
G (q → O p)
NBW
(p ∨ ¬ q) U (p ∧ (p ∨ ¬ q))
Equivalent:
¬ (¬ p W (¬ p ∧ q))
•
(p ∨ ¬ q) U (p ∧ (p ∨ ¬ q))
Complement:
¬ p W (¬ p ∧ q)
NBW
G (p → X q)
Equivalent:
G (p → X q)
Complement:
NBW
F (p → F q)
Equivalent:
F (p → F q)
Complement:
DBW
p U G q
Equivalent:
p U G q
Complement:
NBW
G (p → q U r)
Equivalent:
G (p → q U r)
Complement:
NBW
G (p → F (q ∧ ¬ r))
Equivalent:
G (p → F (q ∧ ¬ r))
Complement:
DBW
G (p → F (q → r))
Equivalent:
G (p → F (q → r))
Complement:
DBW