Authors
Matteo Pascucci
Slovak Academy of Sciences
Abstract
In their presentation of canonical models for normal systems of modal logic, Hughes and Cresswell observe that some of these models are based on a frame which can be also thought of as a collection of two or more isolated frames; they call such frames ‘non-cohesive’. The problem of checking whether the canonical model of a given system is cohesive is still rather unexplored and no general decision procedure is available. The main contribution of this article consists in introducing a method which is sufficient to show that canonical models of some relevant classes of normal monomodal and bimodal systems are always non-cohesive.
Keywords Canonical Models  Modal Logic
Categories (categorize this paper)
DOI 10.1007/s10849-019-09305-3
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: 62,481
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

Modal Logic.Yde Venema, Alexander Chagrov & Michael Zakharyaschev - 2000 - Philosophical Review 109 (2):286.
Semantic Analysis of Tense Logics.S. K. Thomason - 1972 - Journal of Symbolic Logic 37 (1):150-158.
Some Embedding Theorems for Modal Logic.David Makinson - 1971 - Notre Dame Journal of Formal Logic 12 (2):252-254.
The Power of a Propositional Constant.Robert Goldblatt & Tomasz Kowalski - 2012 - Journal of Philosophical Logic (1):1-20.

View all 11 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

K1.1 Is Not Canonical.G. Hughes & M. Cresswell - 1982 - Bulletin of the Section of Logic 11 (3-4):109-112.
Quasi-Modal Equivalence of Canonical Structures.Robert Goldblatt - 2001 - Journal of Symbolic Logic 66 (2):497-508.
A Non-Standard Injection Between Canonical Frames.Timothy Surendonk - 1996 - Logic Journal of the IGPL 4 (2):273-282.
Finite Models Constructed From Canonical Formulas.Lawrence S. Moss - 2007 - Journal of Philosophical Logic 36 (6):605 - 640.
Graded Modalities, II (Canonical Models).Francesco Caro - 1988 - Studia Logica 47 (1):1 - 10.
Quasi-Modal Equivalence of Canonical Structures.Robert Goldblatt - 2001 - Journal of Symbolic Logic 66 (2):497-508.
Partiality and Adjointness in Modal Logic.Wesley H. Holliday - 2014 - In Rajeev Goré, Barteld Kooi & Agi Kurucz (eds.), Advances in Modal Logic, Vol. 10. College Publications. pp. 313-332.
Action Emulation Between Canonical Models.Floor Sietsma & Jan van Eijck - 2013 - Journal of Philosophical Logic 42 (6):905-925.
Elementary Canonical Formulae: A Survey on Syntactic, Algorithmic, and Modeltheoretic Aspects.W. Conradie, V. Goranko & D. Vakarelov - 2005 - In Renate Schmidt, Ian Pratt-Hartmann, Mark Reynolds & Heinrich Wansing (eds.), Advances in Modal Logic, Volume 5. Kings College London Publ.. pp. 17-51.
Generalized Cohesiveness.Tamara Hummel & Carl G. Jockusch - 1999 - Journal of Symbolic Logic 64 (2):489-516.

Analytics

Added to PP index
2019-10-08

Total views
8 ( #974,747 of 2,446,240 )

Recent downloads (6 months)
1 ( #456,899 of 2,446,240 )

How can I increase my downloads?

Downloads

My notes