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• W3169499490 abstract "Abstract A notion of interpretation between arbitrary logics is introduced, and the poset $mathsf {Log}$ of all logics ordered under interpretability is studied. It is shown that in $mathsf {Log}$ infima of arbitrarily large sets exist, but binary suprema in general do not. On the other hand, the existence of suprema of sets of equivalential logics is established. The relations between $mathsf {Log}$ and the lattice of interpretability types of varieties are investigated." @default.
• W3169499490 created "2021-06-22" @default.
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• W3169499490 date "2021-06-10" @default.
• W3169499490 modified "2023-09-26" @default.
• W3169499490 title "THE POSET OF ALL LOGICS I: INTERPRETATIONS AND LATTICE STRUCTURE" @default.
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• W3169499490 doi "https://doi.org/10.1017/jsl.2021.48" @default.
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