Erdős graphs resolve fine's canonicity problem

Bulletin of Symbolic Logic 10 (2):186-208 (2004)
Abstract
We show that there exist 2 ℵ 0 equational classes of Boolean algebras with operators that are not generated by the complex algebras of any first-order definable class of relational structures. Using a variant of this construction, we resolve a long-standing question of Fine, by exhibiting a bimodal logic that is valid in its canonical frames, but is not sound and complete for any first-order definable class of Kripke frames (a monomodal example can then be obtained using simulation results of Thomason). The constructions use the result of Erd $\H{o}$ s that there are finite graphs with arbitrarily large chromatic number and girth
Keywords Boolean algebras with operators   modal logic   random graphs   canonical extension   elementary class   variety
Categories (categorize this paper)
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
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 10,948
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Citations of this work BETA
Marcus Kracht (2011). Technical Modal Logic. Philosophy Compass 6 (5):350-359.
Similar books and articles
Analytics

Monthly downloads

Added to index

2009-01-28

Total downloads

6 ( #203,365 of 1,100,829 )

Recent downloads (6 months)

5 ( #58,660 of 1,100,829 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.