Weakly higher order cylindric algebras and finite axiomatization of the representables (Q1005971)
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scientific article; zbMATH DE number 5529412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weakly higher order cylindric algebras and finite axiomatization of the representables |
scientific article; zbMATH DE number 5529412 |
Statements
Weakly higher order cylindric algebras and finite axiomatization of the representables (English)
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17 March 2009
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The \(n\)-dimensional weakly higher-order cylindric algebras are representable cylindric algebras with extra operations that correspond to bounded existential quantification over elements accessible by a fixed binary relation \(R\) (an abstract algebraic counterpart to the membership relation). This class is shown to be finitely axiomatizable when \(n>2\). The proof uses Tarski's theorem that quasi-projective relation algebras are representable.
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algebraic logic
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representability
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cylindric algebra
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quasi-projections
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relation algebra
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finitization problem
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