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- W2963101993 abstract "We study the logic of neighbourhood models with pointwise intersection, as a means to characterize multi-modal logics. Pointwise intersection takes us from a set of neighbourhood sets $mathcal{N}_i$ (one for each member $i$ of a set $G$, used to interpret the modality $square_i$) to a new neighbourhood set $mathcal{N}_G$, which in turn allows us to interpret the operator $square_G$. Here, $X$ is in the neighbourhood for $G$ if and only if $X$ equals the intersection of some $mathcal{Y} = {Y_i mid iin G}$. We show that the notion of pointwise intersection has various applications in epistemic and doxastic logic, deontic logic, coalition logic, and evidence logic. We then establish sound and strongly complete axiomatizations for the weakest logic characterized by pointwise intersection and for a number of variants, using a new and generally applicable technique for canonical model construction." @default.
- W2963101993 created "2019-07-30" @default.
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- W2963101993 date "2018-04-26" @default.
- W2963101993 modified "2023-09-26" @default.
- W2963101993 title "Pointwise intersection in neighbourhood modal logic" @default.
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