- In
logic and mathematics, the
logical biconditional, also
known as
material biconditional or
equivalence or
bidirectional implication or biimplication...
-
shortened as "iff") is
paraphrased by the
biconditional, a
logical connective between statements. The
biconditional is true in two cases,
where either both...
- In
propositional logic,
biconditional introduction is a
valid rule of inference. It
allows for one to
infer a
biconditional from two
conditional statements...
-
representing the
truth functions of conjunction, disjunction, implication,
biconditional, and negation. Some
sources include other connectives, as in the table...
-
Biconditional elimination is the name of two
valid rules of
inference of
propositional logic. It
allows for one to
infer a
conditional from a biconditional...
-
logical inequality is a
logical operator whose negation is the
logical biconditional. With two inputs, XOR is true if and only if the
inputs differ (one...
- {\underline {\varphi \lor \psi }}} χ ∨ ξ {\displaystyle \chi \lor \xi }
Biconditional introduction φ → ψ {\displaystyle \varphi \rightarrow \psi } ψ → φ _...
-
combined into a
single biconditional formula: ¬ ¬ P ↔ P {\displaystyle \neg \neg P\leftrightarrow P} .
Since biconditionality is an
equivalence relation...
-
equivalent to a
given conditional statement,
though not
sufficient for a
biconditional. Similarly, take the
statement "All
quadrilaterals have four sides,"...
- \leftrightarrow } ) from
mathematical logic, also
known as the
material biconditional. The two-input
version implements logical equality,
behaving according...
