Decidable and undecidable MV-algebras (Q1057270)
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scientific article; zbMATH DE number 3896933
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decidable and undecidable MV-algebras |
scientific article; zbMATH DE number 3896933 |
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Decidable and undecidable MV-algebras (English)
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1985
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In Trans. Am. Math. Soc. 88, 467-490 (1958; Zbl 0084.007), \textit{C. C. Chang} introduced the notion of MV-algebra in order to show completeness of many-valued Lukasiewicz-logic. Using a characterisation of MV-algebras in a simpler language, proposed by H. Läuchli, this article shows the undecidability of the elementary theory of MV-algebras. Further it is shown that the word problem for MV-algebras is solvable and that the elementary theories of finite-order MV-algebras are decidable.
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MV-algebra
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elementary theory
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