- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Unification and Passive Inference Rules for Modal Logics
Journal of Applied Non-Classical Logics 10 (3-4):369-377 (2000)
Abstract
ABSTRACT We1 study unification of formulas in modal logics and consider logics which are equivalent w.r.t. unification of formulas. A criteria is given for equivalence w.r.t. unification via existence or persistent formulas. A complete syntactic description of all formulas which are non-unifiable in wide classes of modal logics is given. Passive inference rules are considered, it is shown that in any modal logic over D4 there is a finite basis for passive rulesOther Versions
No versions found
My notes
Similar books and articles
About the Unification Types of Modal Logics.Philippe Balbiani & Çiğdem Gencer - 2024 - In Nick Bezhanishvili, Rosalie Iemhoff & Fan Yang, Dick de Jongh on Intuitionistic and Provability Logics. Cham: Springer Verlag. pp. 175-202.
Unifiability and Structural Completeness in Relation Algebras and in Products of Modal Logic S5.Wojciech Dzik & Beniamin Wróbel - 2015 - Bulletin of the Section of Logic 44 (1/2):1-14.
Remarks about the unification type of several non-symmetric non-transitive modal logics.Philippe Balbiani - 2019 - Logic Journal of the IGPL 27 (5):639-658.
An essay on unification and inference rules for modal logics.V. V. Rybakov, M. Terziler & C. Gencer - 1999 - Bulletin of the Section of Logic 28 (3):145-157.
Independent bases for rules admissible in pretabular logics.V. Rybakov, V. Kiyatkin & M. Terziler - 1999 - Logic Journal of the IGPL 7 (2):253-266.
A Syntactic Approach to Unification in Transitive Reflexive Modal Logics.Rosalie Iemhoff - 2016 - Notre Dame Journal of Formal Logic 57 (2):233-247.
On unification and admissible rules in Gabbay–de Jongh logics.Jeroen P. Goudsmit & Rosalie Iemhoff - 2014 - Annals of Pure and Applied Logic 165 (2):652-672.
Metalogic of Intuitionistic Propositional Calculus.Alex Citkin - 2010 - Notre Dame Journal of Formal Logic 51 (4):485-502.
Best Unifiers in Transitive Modal Logics.Vladimir V. Rybakov - 2011 - Studia Logica 99 (1-3):321-336.
Unification and admissible rules for paraconsistent minimal Johanssonsʼ logic J and positive intuitionistic logic IPC.Sergei Odintsov & Vladimir Rybakov - 2013 - Annals of Pure and Applied Logic 164 (7-8):771-784.
Analytics
Added to PP
2013-11-24
Downloads
98 (#528,458)
6 months
14 (#869,043)
2013-11-24
Downloads
98 (#528,458)
6 months
14 (#869,043)
Historical graph of downloads
Citations of this work
Unifiability and Structural Completeness in Relation Algebras and in Products of Modal Logic S5.Wojciech Dzik & Beniamin Wróbel - 2015 - Bulletin of the Section of Logic 44 (1/2):1-14.
2004 Summer Meeting of the Association for Symbolic Logic.Wolfram Pohlers - 2005 - Bulletin of Symbolic Logic 11 (2):249-312.
References found in this work
Criteria for admissibility of inference rules. Modal and intermediate logics with the branching property.Vladimir V. Rybakov - 1994 - Studia Logica 53 (2):203 - 225.
Try MATCHA Writer if you're interested in citing directly from PhilPapers and certifying your authorship.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation