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)
ISBN(s)
DOI 10.1007/s11225-011-9354-y
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: 64,244
Through your library

References found in this work BETA

A Machine-Oriented Logic Based on the Resolution Principle.J. A. Robinson - 1966 - Journal of Symbolic Logic 31 (3):515-516.
Unification in Intuitionistic Logic.Silvio Ghilardi - 1999 - Journal of Symbolic Logic 64 (2):859-880.
Proof Theory for Admissible Rules.Rosalie Iemhoff & George Metcalfe - 2009 - Annals of Pure and Applied Logic 159 (1-2):171-186.

View all 18 references / Add more references

Citations of this work BETA

Unification in Pretabular Extensions of S4.Stepan I. Bashmakov - 2021 - Logica Universalis 15 (3):381-397.

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.

Analytics

Added to PP index
2011-09-22

Total views
26 ( #423,556 of 2,455,436 )

Recent downloads (6 months)
1 ( #449,205 of 2,455,436 )

How can I increase my downloads?

Downloads

My notes