Abstract
In this paper we give axiom systems for classical and intuitionistic hybrid logic. Our axiom systems can be extended with additional rules corresponding to conditions on the accessibility relation expressed by so-called geometric theories. In the classical case other axiomatisations than ours can be found in the literature but in the intuitionistic case no axiomatisations have been published. We consider plain intuitionistic hybrid logic as well as a hybridized version of the constructive and paraconsistent logic N4.
Keywords Hybrid logic  Modal logic  Intuitionistic logic  Constructive logic  Strong negation  Paraconsistent logic  Axiom systems
Categories (categorize this paper)
DOI 10.1007/s10849-006-9013-2
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: 53,617
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

Free Logics.Ermanno Bencivenga - 2002 - In D. M. Gabbay & F. Guenthner (eds.), Handbook of Philosophical Logic, 2nd Edition. Kluwer Academic Publishers. pp. 147--196.
Hybrid Languages and Temporal Logic.P. Blackburn & M. Tzakova - 1999 - Logic Journal of the IGPL 7 (1):27-54.

View all 10 references / Add more references

Citations of this work BETA

Why Does the Proof-Theory of Hybrid Logic Work so Well?Torben Braüner - 2007 - Journal of Applied Non-Classical Logics 17 (4):521-543.

Add more citations

Similar books and articles

Natural Deduction for First-Order Hybrid Logic.Torben BraÜner - 2005 - Journal of Logic, Language and Information 14 (2):173-198.
Models of Intuitionistic TT and N.Daniel Dzierzgowski - 1995 - Journal of Symbolic Logic 60 (2):640-653.
Intuitionistic Completeness for First Order Classical Logic.Stefano Berardi - 1999 - Journal of Symbolic Logic 64 (1):304-312.
Combining Possibilities and Negations.Greg Restall - 1997 - Studia Logica 59 (1):121-141.
From Classical to Intuitionistic Probability.Brian Weatherson - 2003 - Notre Dame Journal of Formal Logic 44 (2):111-123.

Analytics

Added to PP index
2009-01-28

Total views
62 ( #153,353 of 2,348,757 )

Recent downloads (6 months)
6 ( #120,371 of 2,348,757 )

How can I increase my downloads?

Downloads

My notes