Stable canonical rules (Q2805038)
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scientific article; zbMATH DE number 6578135
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stable canonical rules |
scientific article; zbMATH DE number 6578135 |
Statements
9 May 2016
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modal logic
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multi-conclusion consequence relation
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axiomatization
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filtration
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modal algebra
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variety
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universal class
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0.8259608
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0.7971233
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Stable canonical rules (English)
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This paper deals with normal modal logics with multi-conclusion consequence relation. Its main contribution is, using some ideas from intuitionistic logics, to generate some canonical formulas to axiomatize some modal logics, which were not possible to axiomatize using these techniques.NEWLINENEWLINEThe way it is achieved is to use algebraic tools and techniques together with filtration. Therefore, it remains an open problem how these ideas may translate into topological approaches to modal logic. Similarly, how non-normal modal logics can be treated using these methods.NEWLINENEWLINEIn conclusion, the paper suggests a conclusive generalization to the research program of axiomatizing different modal logics with canonical formulas -- or their sorts.
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