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MR1218658 (94d:03030) 03B45 (03F30 03F40)
Dzhaparidze, Giorgie A generalized notion of weak interpretability and the corresponding modal logic. Provability, Interpretability and Arithmetic Symposium (Utrecht, 1991). Ann. Pure Appl. Logic 61 (1993), no. 1-2, 113–160.
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