Iterated discriminator varieties have undecidable theories

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1985 English Publisher:Springer Science and Business Media LLCJournal:Algebra Universalis, volume 21, pages 54-61 (issn: 0002-5240, eissn: 1420-8911,

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Authors: Burris, Stanley;

doi: 10.1007/bf01187556

Iterated discriminator varieties have undecidable theories

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Abstract

The author establishes a fairly wide class of discriminator varieties with undecidable theories. The result generalizes the most important example, namely, the variety \(CA_ 1\) of monadic algebras.

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University of Waterloo
Canada

Keywords

bounded Boolean power, discriminator varieties, Equational logic, Mal'tsev conditions, undecidable theories, Products, amalgamated products, and other kinds of limits and colimits, Undecidability and degrees of sets of sentences, monadic algebras, hereditarily undecidable

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