Graduate Thesis Or Dissertation

 

The Undecidability of the Definability of Principal Subcongruences Public Deposited

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https://scholar.colorado.edu/concern/graduate_thesis_or_dissertations/h989r345z
Abstract
  • For each Turing machine T, we construct an algebra A'(T) such that the variety generated by A'(T) has definable principal subcongruences if and only if T halts, thus proving that the property of having definable principal subcongruences is undecidable. Using this, we present another proof that A. Tarski's finite basis problem is undecidable.
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  • 2013
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  • 2019-11-13
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