Zero-one laws for modal logic (Q1337692)
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scientific article; zbMATH DE number 683706
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zero-one laws for modal logic |
scientific article; zbMATH DE number 683706 |
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Zero-one laws for modal logic (English)
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8 November 1994
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It is shown that a 0-1 law holds for propositional modal logic, both for structure validity and frame validity. The problem of deciding whether a formula is almost-surely frame valid is \(\text{P}^{\text{NP}}\), the corresponding decision problem for frame validity is hard for deterministic exponential time. The relationship to 0-1 laws for fragments of second-order logic is discussed in detail.
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zero-one laws
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propositional modal logic
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structure validity
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frame validity
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fragments of second-order logic
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0.8935716
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0.8925704
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0.89158195
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0.8915203
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0.88656706
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