Cut-free sequent calculi for some tense logics (Q1317905)
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scientific article; zbMATH DE number 536895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cut-free sequent calculi for some tense logics |
scientific article; zbMATH DE number 536895 |
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Cut-free sequent calculi for some tense logics (English)
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22 March 1994
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Several fundamental propositional tense logics with transitive, reflexive, connected and total time-structures are formulated in the style of Gentzen by extending the notion of a sequent to that of a so- called nested sequent. Completeness of the sequential calculi thus formulated is proved with respect to Kripke semantics and the cut- elimination theorem is obtained as a corollary.
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Gentzen method
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propositional tense logics
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nested sequent
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Kripke semantics
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cut-elimination
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