Infinitary propositional normal modal logic (Q1102267)
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scientific article; zbMATH DE number 4049616
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitary propositional normal modal logic |
scientific article; zbMATH DE number 4049616 |
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Infinitary propositional normal modal logic (English)
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1987
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The author introduces a propositional normal modal logic, denoted by \(KL_{\omega_ 1}\), with countable conjunction and disjunction. He gives the Hilbert type formulation of \(KL_{\omega_ 1}\), defines the class of Kripke frames characteristic for this logic (completeness theorem) and proves that \(KL_{\omega_ 1}\) has the Craig interpolation property.
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propositional normal modal logic
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countable conjunction and disjunction
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Kripke frames
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completeness
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Craig interpolation property
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