Affiliation:
1. The Australian National University , Canberra, Ngunnawal & Ngambri Country, 2600, Australia
Abstract
Abstract
We design and study various topological semantics for the diamond-free intuitionistic modal logic $\textsf{iS4}$, an intuitionistic analogue of $\textsf{S4}$. Ultimately we prove that ordinary topological spaces can be used as semantics, using the specialization order to interpret intuitionistic implication and the interior for the modality. Some of our soundness and completeness results are mechanised in Coq.
Publisher
Oxford University Press (OUP)
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