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Idempotency of entailment is a property of logical systems that states that one may derive the same consequences from many instances of a hypothesis as from just one. This property can be captured by a structural rule called contraction, and in such systems one may say that entailment is idempotent if and only if contraction is an admissible rule. Rule of contraction: from A,C,C → B is derived A,C → B. Or in sequent calculus notation, In linear and affine logic, entailment is not idempotent.

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  • Idempotency of entailment is a property of logical systems that states that one may derive the same consequences from many instances of a hypothesis as from just one. This property can be captured by a structural rule called contraction, and in such systems one may say that entailment is idempotent if and only if contraction is an admissible rule. Rule of contraction: from A,C,C → B is derived A,C → B. Or in sequent calculus notation, In linear and affine logic, entailment is not idempotent. (en)
  • Контра́рність — логічне відношення між двома простими порівнянними судженнями, які не можуть бути одночасно істинними, але можуть бути одночасно помилковими, тому що між ними завжди є третій, проміжний варіант. В численні секвенцій позначається як . (uk)
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  • yes (en)
dbp:date
  • December 2009 (en)
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  • Idempotency of entailment is a property of logical systems that states that one may derive the same consequences from many instances of a hypothesis as from just one. This property can be captured by a structural rule called contraction, and in such systems one may say that entailment is idempotent if and only if contraction is an admissible rule. Rule of contraction: from A,C,C → B is derived A,C → B. Or in sequent calculus notation, In linear and affine logic, entailment is not idempotent. (en)
  • Контра́рність — логічне відношення між двома простими порівнянними судженнями, які не можуть бути одночасно істинними, але можуть бути одночасно помилковими, тому що між ними завжди є третій, проміжний варіант. В численні секвенцій позначається як . (uk)
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  • Idempotency of entailment (en)
  • Контрарність (uk)
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