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In logic and mathematics, the logical biconditional, sometimes known as the material biconditional, is the logical connective used to conjoin two statements P and Q to form the statement "P if and only if Q", where P is known as the antecedent, and Q the consequent. This is often abbreviated as "P iff Q". Other ways of denoting this operator may be seen occasionally, as a double-headed arrow (↔ or ⇔ may be represented in Unicode in various ways), a prefixed E "Epq" (in Łukasiewicz notation or Bocheński notation), an equality sign (=), an equivalence sign (≡), or EQV. It is logically equivalent to both and , and the XNOR (exclusive nor) boolean operator, which means "both or neither".

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  • Bikonditional (de)
  • Logical biconditional (en)
  • Conectivo lógico bicondicional (pt)
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  • Als Bikonditional, Bisubjunktion oder materiale Äquivalenz, manchmal (aber mehrdeutig) einfach nur Äquivalenz bezeichnet man * eine zusammengesetzte Aussage, die genau dann wahr ist, wenn ihre beiden Teilaussagen denselben Wahrheitswert haben, also entweder beide wahr oder beide falsch sind; * die entsprechend definierte Wahrheitswertfunktion; * das sprachliche Zeichen (den Junktor), mit dem diese beiden Teilaussagen zusammengesetzt werden. (de)
  • In logic and mathematics, the logical biconditional, sometimes known as the material biconditional, is the logical connective used to conjoin two statements P and Q to form the statement "P if and only if Q", where P is known as the antecedent, and Q the consequent. This is often abbreviated as "P iff Q". Other ways of denoting this operator may be seen occasionally, as a double-headed arrow (↔ or ⇔ may be represented in Unicode in various ways), a prefixed E "Epq" (in Łukasiewicz notation or Bocheński notation), an equality sign (=), an equivalence sign (≡), or EQV. It is logically equivalent to both and , and the XNOR (exclusive nor) boolean operator, which means "both or neither". (en)
  • Na Lógica e Matemática, a Lógica bicondicional (também conhecida como bicondicional material) é o Conectivo lógico de duas proposições afirmando "p se e somente se q", onde q é uma Hipótese (ou antecedente) e p é um conclusão (ou consequente). Isso é frequentemente abreviado p sse q. O operador é denotado usando uma seta de dupla implicação (↔), a prefixed E (Epq), um sinal de igualdade (=),um sinal de equivalência (≡), ou EQV. Isso é logicamente equivalente a (p → q) ∧ (q → p), ou o XNOR (nor exclusivo) operador da Álgebra_booleana.Isto é equivalente a "(não p ou q) e (não q ou p)". Também é logicamente equivalente a "(p e q) ou (não p e não q)",significando "os dois ou nenhum".A única diferença paraCondicional_material é o caso no qual a hipótese é falsa mas a conclusão é verdadeira. Nes (pt)
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