Discrete math

Proposition

Proposition is declarative sentence

Negation

Is a opposite of truth value

Compound proposition

Is a proposition using a logical operators

Conjunction

Is true only when two of the statement is true, otherwise is false

Disjunction

Is false when two of the statements are false, otherwise is true

Exclusive or

Is true when one of the statement is true and second is false , other wise is false

Conditional

Is false when the first statement is true second is false, otherwise is true

Biconditional

Is true when the two statement both true or false, other wise is false

First statement of implication

Hypothesis or antecedent or premise

Second statement of implication

Conclusion of consequence

Logically equivalent

Two compound propositions always have the same truth value