Tabular Logics with no Finite Bases for Inference Rules

Logic Journal of the IGPL 12 (4):301-311 (2004)
  Copy   BIBTEX

Abstract

We find an example of a rooted, finite, partially ordered set Q9 such that the superintuitionistic logic L generated by Q9 has no finite bases for admissible inference rules. The modal logic based on Q9 also has the same property

Categories

Keywords

Reprint years

DOI

10.1093/jigpal/12.4.301

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,349

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Intermediate logics preserving admissible inference rules of heyting calculus.Vladimir V. Rybakov - 1993 - Mathematical Logic Quarterly 39 (1):403-415.
Independent bases for rules admissible in pretabular logics.V. Rybakov, V. Kiyatkin & M. Terziler - 1999 - Logic Journal of the IGPL 7 (2):253-266.
On Finite Model Property for Admissible Rules.Vladimir V. Rybakov, Vladimir R. Kiyatkin & Tahsin Oner - 1999 - Mathematical Logic Quarterly 45 (4):505-520.
Unification and Passive Inference Rules for Modal Logics.V. V. Rybakov, M. Terziler & C. Gencer - 2000 - Journal of Applied Non-Classical Logics 10 (3-4):369-377.
Admissibility of logical inference rules.Vladimir Vladimir Rybakov - 1997 - New York: Elsevier.
Canonical Rules.Emil Jeřábek - 2009 - Journal of Symbolic Logic 74 (4):1171 - 1205.
A(nother) characterization of intuitionistic propositional logic.Rosalie Iemhoff - 2001 - Annals of Pure and Applied Logic 113 (1-3):161-173.
Axiomatizations with context rules of inference in modal logic.Valentin Goranko - 1998 - Studia Logica 61 (2):179-197.
Inference Rules in Nelson’s Logics, Admissibility and Weak Admissibility.Sergei Odintsov & Vladimir Rybakov - 2015 - Logica Universalis 9 (1):93-120.
Criteria for admissibility of inference rules. Modal and intermediate logics with the branching property.Vladimir V. Rybakov - 1994 - Studia Logica 53 (2):203 - 225.
Logical equations and admissible rules of inference with parameters in modal provability logics.V. V. Rybakov - 1990 - Studia Logica 49 (2):215 - 239.
On self-admissible quasi-characterizing inference rules.V. V. Rybakov, M. Terziler & C. Gencer - 2000 - Studia Logica 65 (3):417-428.
Characteristic Inference Rules.Alex Citkin - 2015 - Logica Universalis 9 (1):27-46.
A note on globally admissible inference rules for modal and superintuitionistic logics.V. V. Rimatski & V. V. Rybakov - 2005 - Bulletin of the Section of Logic 34 (2):93-99.
Logic of Visibility, Perception, and Knowledge and Admissible Inference Rules.M. Golovanov, A. Kosheleva & V. Rybakov - 2005 - Logic Journal of the IGPL 13 (2):201-209.

Analytics

Added to PP
2015-02-04

Downloads
6 (#1,430,516)

6 months
2 (#1,232,442)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

No references found.

Add more references