Journal of Symbolic Logic 64 (2):790-802 (1999)

Authors
Abstract
Recently Lafont [6] showed the finite model property for the multiplicative additive fragment of linear logic and for affine logic, i.e., linear logic with weakening. In this paper, we shall prove the finite model property for intuitionistic versions of those, i.e. intuitionistic MALL, and intuitionistic LLW. In addition, we shall show the finite model property for contractive linear logic, i.e., linear logic with contraction, and for its intuitionistic version. The finite model property for related substructural logics also follow by our method. In particular, we shall show that the property holds for all of FL and GL$^-$-systems except FL$_c$ and GL$^-_c$ of Ono [11], that will settle the open problems stated in Ono [12].
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI http://projecteuclid.org/euclid.jsl/1183745810
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 58,834
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.

Add more references

Citations of this work BETA

Decision Methods for Linearly Ordered Heyting Algebras.Sara Negri & Roy Dyckhoff - 2006 - Archive for Mathematical Logic 45 (4):411-422.
Nikolaos Galatos.Hiroakira Ono - 2006 - Studia Logica 83 (1-3):1-32.

Add more citations

Similar books and articles

Finite Models of Some Substructural Logics.Wojciech Buszkowski - 2002 - Mathematical Logic Quarterly 48 (1):63-72.
On the Unity of Logic.Jean-Yves Girard - 1993 - Annals of Pure and Applied Logic 59 (3):201-217.
The Finite Model Property for Various Fragments of Linear Logic.Yves Lafont - 1997 - Journal of Symbolic Logic 62 (4):1202-1208.
The Finite Model Property for Various Fragments of Linear Logic.Yves Lafont - 1997 - Journal of Symbolic Logic 62 (4):1202-1208.
Substructural Logics in Natural Deduction.Ernst Zimmermann - 2007 - Logic Journal of the IGPL 15 (3):211-232.
Completeness Results for Linear Logic on Petri Nets.Uffe Engberg & Glynn Winskel - 1997 - Annals of Pure and Applied Logic 86 (2):101-135.
A Finite Model Property for RMImin.Ai-ni Hsieh & James G. Raftery - 2006 - Mathematical Logic Quarterly 52 (6):602-612.

Analytics

Added to PP index
2017-02-21

Total views
15 ( #657,308 of 2,426,000 )

Recent downloads (6 months)
1 ( #544,761 of 2,426,000 )

How can I increase my downloads?

Downloads

My notes