The modal logic of \({\beta(\mathbb{N})}\) (Q1016504)
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scientific article; zbMATH DE number 5551228
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The modal logic of \({\beta(\mathbb{N})}\) |
scientific article; zbMATH DE number 5551228 |
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The modal logic of \({\beta(\mathbb{N})}\) (English)
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6 May 2009
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\(\beta(\mathbb{N})\) is the Stone-Čech compactification of the set \(\mathbb{N}\) of natural numbers. It is proved that, under topological interpretation, the modal logic of \(\beta(\mathbb{N})\) is \(\text{S}4.1.2= \text{S}4+\square\lozenge p\Leftrightarrow \lozenge\square p\).
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topological logic
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