Crawley Completions of Residuated Lattices and Algebraic Completeness of Substructural Predicate Logics

Studia Logica 100 (1-2):339-359 (2012)
Abstract
This paper discusses Crawley completions of residuated lattices. While MacNeille completions have been studied recently in relation to logic, Crawley completions (i.e. complete ideal completions), which are another kind of regular completions, have not been discussed much in this relation while many important algebraic works on Crawley completions had been done until the end of the 70’s. In this paper, basic algebraic properties of ideal completions and Crawley completions of residuated lattices are studied first in their conncetion with the join infinite distributivity and Heyting implication. Then some results on algebraic completeness and conservativity of Heyting implication in substructural predicate logics are obtained as their consequences
Keywords regular completions  Crawley completions  infinite distributivities  residuated lattices  algebraic completeness  substructural predicate logics
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: 10,986
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

View all 7 references

Citations of this work BETA

No citations found.

Similar books and articles
Terrence Millar (1995). Model Completions and Omitting Types. Journal of Symbolic Logic 60 (2):654-672.
Analytics

Monthly downloads

Added to index

2012-02-08

Total downloads

7 ( #185,324 of 1,100,994 )

Recent downloads (6 months)

5 ( #58,870 of 1,100,994 )

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.