Modal translations in substructural logics

Journal of Philosophical Logic 21 (3):283 - 336 (1992)
Abstract
Substructural logics are logics obtained from a sequent formulation of intuitionistic or classical logic by rejecting some structural rules. The substructural logics considered here are linear logic, relevant logic and BCK logic. It is proved that first-order variants of these logics with an intuitionistic negation can be embedded by modal translations into S4-type extensions of these logics with a classical, involutive, negation. Related embeddings via translations like the double-negation translation are also considered. Embeddings into analogues of S4 are obtained with the help of cut elimination for sequent formulations of our substructural logics and their modal extensions. These results are proved for systems with equality too
Keywords No keywords specified (fix it)
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: 11,826
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
Ross T. Brady (1990). The Gentzenization and Decidability of RW. Journal of Philosophical Logic 19 (1):35 - 73.
R. A. Bull (1987). Survey of Generalizations of Urquhart Semantics. Notre Dame Journal of Formal Logic 28 (2):220-237.
Haskell B. Curry (1952). The System LD. Journal of Symbolic Logic 17 (1):35-42.

View all 25 references

Citations of this work BETA
Kosta Došen (1992). Modal Logic as Metalogic. Journal of Logic, Language and Information 1 (3):173-201.
Similar books and articles
Analytics

Monthly downloads

Added to index

2009-01-28

Total downloads

23 ( #78,769 of 1,100,123 )

Recent downloads (6 months)

9 ( #27,984 of 1,100,123 )

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.