Semantical analysis of predicate logics without the contraction rule (Q1077403)
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scientific article; zbMATH DE number 3957063
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semantical analysis of predicate logics without the contraction rule |
scientific article; zbMATH DE number 3957063 |
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Semantical analysis of predicate logics without the contraction rule (English)
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1985
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A semantics for some predicate logics without the contraction rule is introduced in this paper. Each structure in our semantics is a partially- ordered monoid which is also a complete meet-semilattice with a constant domain. By using the method developed by the author and \textit{Y. Komori} in J. Symb. Logic 50, 169-201 (1985; Zbl 0583.03018), the completeness theorem is proved. Then it is shown that the above semantics has a close connection with Beth semantics.
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Kripke models
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Beth models
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semantics
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partially-ordered monoid
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complete meet-semilattice
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completeness theorem
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