Propositional Logic - Other Topics

De Morgans

Demorgans Laws state that ¬(P∧Q)↔(¬P∨¬Q),and ¬(P∨Q)↔(¬P∧¬Q).

Other Operators

The Exclusive Disjunction is an operator which states that given the propositions P and Q, then P⨁Q is true only when wither P or Q are true.

P

Q

P⨁Q

T

 T F

T

 F T

F

 T T

F

 F F

Table 15

The Sheffer Stroke is an operator which states that given the propositions P and Q, then P↑Q is true only when either P or Q is false. This is equivalent to ¬P∨¬Q.

P

Q

P↑Q

T

TF

T

FT

F

TT

F

FT

Table 16

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