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tolerant sequence : ウィキペディア英語版
tolerant sequence
In mathematical logic, a tolerant sequence is a sequence
:T_1,...,T_n
of formal theories such that there are consistent extensions
:S_1,...,S_n
of these theories with each S_ interpretable in S_i. Tolerance naturally generalizes from sequences of theories to trees of theories. Weak interpretability can be shown to be a special, binary case of tolerance.
This concept, together with its dual concept of cotolerance, was introduced by (Japaridze ) in 1992, who also proved that, for Peano arithmetic and any stronger theories with effective axiomatizations, tolerance is equivalent to \Pi_1-consistency.
== See also ==

*Interpretability
*Cointerpretability
*Interpretability logic

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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