Best Unifiers in Transitive Modal Logics

Studia Logica 99 (1-3):321-336 (2011)
Abstract
This paper offers a brief analysis of the unification problem in modal transitive logics related to the logic S4 : S4 itself, K4, Grz and Gödel-Löb provability logic GL . As a result, new, but not the first, algorithms for the construction of ‘best’ unifiers in these logics are being proposed. The proposed algorithms are based on our earlier approach to solve in an algorithmic way the admissibility problem of inference rules for S4 and Grz . The first algorithms for the construction of ‘best’ unifiers in the above mentioned logics have been given by S. Ghilardi in [ 16 ]. Both the algorithms in [ 16 ] and ours are not much computationally efficient. They have, however, an obvious significant theoretical value a portion of which seems to be the fact that they stem from two different methodological approaches
Keywords Modal logics  unification  best unifiers  admissible rules
Categories (categorize this paper)
DOI 10.1007/s11225-011-9354-y
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
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,824
Through your library
References found in this work BETA
Proof Theory for Admissible Rules.Rosalie Iemhoff & George Metcalfe - 2009 - Annals of Pure and Applied Logic 159 (1):171-186.
Unification in Modal and Description Logics.Franz Baader & Silvio Ghilardi - 2011 - Logic Journal of the IGPL 19 (6):705-730.
Unification in Intuitionistic Logic.Silvio Ghilardi - 1999 - Journal of Symbolic Logic 64 (2):859-880.
Best Solving Modal Equations.Silvio Ghilardi - 2000 - Annals of Pure and Applied Logic 102 (3):183-198.
Independent Bases of Admissible Rules.Emil Jerábek - 2008 - Logic Journal of the IGPL 16 (3):249-267.

View all 16 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Modal Incompleteness Revisited.Tadeusz Litak - 2004 - Studia Logica 76 (3):329 - 342.
Kripke Semantics for Modal Substructural Logics.Norihiro Kamide - 2002 - Journal of Logic, Language and Information 11 (4):453-470.
Hereditarily Structurally Complete Modal Logics.V. V. Rybakov - 1995 - Journal of Symbolic Logic 60 (1):266-288.
On the Completeness of First Degree Weakly Aggregative Modal Logics.Peter Apostoli - 1997 - Journal of Philosophical Logic 26 (2):169-180.

Monthly downloads

Added to index

2011-09-22

Total downloads

9 ( #466,484 of 2,178,178 )

Recent downloads (6 months)

1 ( #316,504 of 2,178,178 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums