On the rules of intermediate logics

Archive for Mathematical Logic 45 (5):581-599 (2006)
  Copy   BIBTEX

Abstract

If the Visser rules are admissible for an intermediate logic, they form a basis for the admissible rules of the logic. How to characterize the admissible rules of intermediate logics for which not all of the Visser rules are admissible is not known. In this paper we give a brief overview of results on admissible rules in the context of intermediate logics. We apply these results to some well-known intermediate logics. We provide natural examples of logics for which the Visser rule are derivable, admissible but nonderivable, or not admissible

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,219

External links

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

Through your library

Similar books and articles

Intermediate Logics and Visser's Rules.Rosalie Iemhoff - 2005 - Notre Dame Journal of Formal Logic 46 (1):65-81.
Metalogic of Intuitionistic Propositional Calculus.Alex Citkin - 2010 - Notre Dame Journal of Formal Logic 51 (4):485-502.
Canonical Rules.Emil Jeřábek - 2009 - Journal of Symbolic Logic 74 (4):1171 - 1205.
Complexity of admissible rules.Emil Jeřábek - 2007 - Archive for Mathematical Logic 46 (2):73-92.
Rules and Arithmetics.Albert Visser - 1999 - Notre Dame Journal of Formal Logic 40 (1):116-140.
Admissibility of Ackermann's rule δ in relevant logics.Gemma Robles - 2013 - Logic and Logical Philosophy 22 (4):411-427.
Logical Consecutions in Discrete Linear Temporal Logic.V. V. Rybakov - 2005 - Journal of Symbolic Logic 70 (4):1137 - 1149.

Analytics

Added to PP
2013-11-23

Downloads
69 (#228,339)

6 months
8 (#292,366)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Rosalie Iemhoff
Utrecht University

Citations of this work

Proof analysis in intermediate logics.Roy Dyckhoff & Sara Negri - 2012 - Archive for Mathematical Logic 51 (1):71-92.
Complexity of admissible rules.Emil Jeřábek - 2007 - Archive for Mathematical Logic 46 (2):73-92.
Canonical Rules.Emil Jeřábek - 2009 - Journal of Symbolic Logic 74 (4):1171 - 1205.
Independent bases of admissible rules.Emil Jerábek - 2008 - Logic Journal of the IGPL 16 (3):249-267.

View all 11 citations / Add more citations

References found in this work

Modal Logic.Yde Venema, Alexander Chagrov & Michael Zakharyaschev - 2000 - Philosophical Review 109 (2):286.
Unification in intuitionistic logic.Silvio Ghilardi - 1999 - Journal of Symbolic Logic 64 (2):859-880.
Concerning formulas of the types a →b ∨c, a →(ex)b(X).Ronald Harrop - 1960 - Journal of Symbolic Logic 25 (1):27-32.

View all 17 references / Add more references