On the equational theory of representable polyadic equality algebras

Journal of Symbolic Logic 65 (3):1143-1167 (2000)
Abstract
Among others we will prove that the equational theory of ω dimensional representable polyadic equality algebras (RPEA ω 's) is not schema axiomatizable. This result is in interesting contrast with the Daigneault-Monk representation theorem, which states that the class of representable polyadic algebras is finite schema-axiomatizable (and hence the equational theory of this class is finite schema-axiomatizable, as well). We will also show that the complexity of the equational theory of RPEA ω is also extremely high in the recursion theoretic sense. Finally, comparing the present negative results with the positive results of Ildiko Sain and Viktor Gyuris [12], the following methodological conclusions will be drawn: The negative properties of polyadic (equality) algebras can be removed by switching from what we call the "polyadic algebraic paradigm" to the "cylindric algebraic paradigm"
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2586692
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,829
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Algebraic Logic, Where Does It Stand Today?Sayed Ahmed Tarek - 2005 - Bulletin of Symbolic Logic 11 (4):465-516.
Omitting Types for Algebraizable Extensions of First Order Logic.Sayed Ahmed Tarek - 2005 - Journal of Applied Non-Classical Logics 15 (4):465-489.

Add more citations

Similar books and articles

Monthly downloads

Added to index

2009-01-28

Total downloads

12 ( #380,973 of 2,178,208 )

Recent downloads (6 months)

1 ( #316,504 of 2,178,208 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums