On the rules of intermediate logics

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 admisisble 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.

• Type: Journal
• Year: 2006
• Where: AML
• Authors: Rosalie Iemhoff
• Keywords: AML 2006, Intermediate Logics, Logics, Visser Rule