The paper provides an alternative interpretation of ‘pair points’, discussed in [3]. Pair points are seen as points viewed from two different ‘perspectives’ and the latter are explicated in terms of two independent valuations. The interpretation is developed into a semantics using pairs of Kripke models (‘pair models’). It is demonstrated that, if certain conditions are fulfilled, pair models are validity-preserving copies of positive substructural models. This yields a general soundness and completeness result for a variety of (positive) substructural logics with respect to multimodal Kripke frames with binary accessibility relations. In addition, an epistemic interpretation of pair models is provided.
CITATION STYLE
Sedlár, I. (2014). Inter-Model Connectives and Substructural Logics. In Trends in Logic (Vol. 41, pp. 195–209). Springer Science and Business Media B.V. https://doi.org/10.1007/978-3-319-06080-4_14
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