Archive for Mathematical Logic 45 (8):913-930 (2006)

Abstract
We study Basic algebra, the algebraic structure associated with basic propositional calculus, and some of its natural extensions. Among other things, we prove the amalgamation property for the class of Basic algebras, faithful Basic algebras and linear faithful Basic algebras. We also show that a faithful theory has the interpolation property if and only if its correspondence class of algebras has the amalgamation property
Keywords Amalgamation  Basic algebra  Basic propositional logic  Heyting algebra  Faithful  Interpolation
Categories (categorize this paper)
DOI 10.1007/s00153-006-0018-y
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 72,634
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

Bounded Distributive Lattices with Strict Implication.Sergio Celani & Ramon Jansana - 2005 - Mathematical Logic Quarterly 51 (3):219-246.
Basic Propositional Calculus I.Mohammad Ardeshir & Wim Ruitenburg - 1998 - Mathematical Logic Quarterly 44 (3):317-343.
Speaking About Transitive Frames in Propositional Languages.Yasuhito Suzuki, Frank Wolter & Michael Zakharyaschev - 1998 - Journal of Logic, Language and Information 7 (3):317-339.

View all 8 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

On Löb Algebras.Majid Alizadeh & Mohammad Ardeshir - 2006 - Mathematical Logic Quarterly 52 (1):95-105.
On the Homogeneous Countable Boolean Contact Algebra.Ivo Düntsch & Sanjiang Li - 2013 - Logic and Logical Philosophy 22 (2):213-251.
Commutative Basic Algebras and Non-Associative Fuzzy Logics.Michal Botur & Radomír Halaš - 2009 - Archive for Mathematical Logic 48 (3-4):243-255.
N-Contractive BL-Logics.Matteo Bianchi & Franco Montagna - 2011 - Archive for Mathematical Logic 50 (3-4):257-285.

Analytics

Added to PP index
2013-11-23

Total views
12 ( #815,732 of 2,533,681 )

Recent downloads (6 months)
1 ( #389,210 of 2,533,681 )

How can I increase my downloads?

Downloads

My notes