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Monotonic logic : ウィキペディア英語版
Monotonicity of entailment

Monotonicity of entailment is a property of many logical systems that states that the hypotheses of any derived fact may be freely extended with additional assumptions. In sequent calculi this property can be captured by an inference rule called weakening, or sometimes thinning, and in such systems one may say that entailment is monotone if and only if the rule is admissible. Logical systems with this property are occasionally called ''monotonic logics'' in order to differentiate them from non-monotonic logics.
==Weakening rule==

To illustrate, starting from the natural deduction sequent:
Γ \vdash C

weakening allows one to conclude:
Γ, A \vdash C


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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