Undecidable Theories of Lyndon Algebras

Journal of Symbolic Logic 66 (1):207-224 (2001)
  Copy   BIBTEX


With each projective geometry we can associate a Lyndon algebra. Such an algebra always satisfies Tarski's axioms for relation algebras and Lyndon algebras thus form an interesting connection between the fields of projective geometry and algebraic logic. In this paper we prove that if G is a class of projective geometries which contains an infinite projective geometry of dimension at least three, then the class L of Lyndon algebras associated with projective geometries in G has an undecidable equational theory. In our proof we develop and use a connection between projective geometries and diagonal-free cylindric algebras.



    Upload a copy of this work     Papers currently archived: 74,594

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Undecidable Theories of Lyndon Algebras.Vera Stebletsova & Yde Venema - 2001 - Journal of Symbolic Logic 66 (1):207-224.
Relation Algebras and Projective Geometry.R. C. Lyndon - 1967 - Journal of Symbolic Logic 32 (2):275-276.
Inequivalent Representations of Geometric Relation Algebras.Steven Givant - 2003 - Journal of Symbolic Logic 68 (1):267-310.
Undecidable Semiassociative Relation Algebras.Roger D. Maddux - 1994 - Journal of Symbolic Logic 59 (2):398-418.
Undecidable Relativizations of Algebras of Relations.Szabolcs Mikulas & Maarten Marx - 1999 - Journal of Symbolic Logic 64 (2):747-760.
The Number of Openly Generated Boolean Algebras.Stefan Geschke & Saharon Shelah - 2008 - Journal of Symbolic Logic 73 (1):151-164.
A Short Proof Of Representability Of Fork Algebras.Viktor Gyuris - 1995 - Logic Journal of the IGPL 3 (5):791-796.
Independence-Friendly Cylindric Set Algebras.Allen Mann - 2009 - Logic Journal of the IGPL 17 (6):719-754.


Added to PP

4 (#1,230,208)

6 months
1 (#418,924)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Yde Venema
University of Amsterdam

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references