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Constructing Cut Free Sequent Systems with Context Restrictions Based on Classical or Intuitionistic Logic

Lellmann, Bjorn; Pattinson, Dirk


We consider a general format for sequent rules for not necessarily normal modal logics based on classical or intuitionistic propositional logic and provide relatively simple local conditions ensuring cut elimination for such rule sets. The rule format encompasses e.g. rules for the boolean connectives and transitive modal logics such as S4 or its constructive version. We also adapt the method of constructing suitable rule sets by saturation to the intuitionistic setting and provide a criterium...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Book chapter
DOI: 10.1007/978-3-642-36039-8-14


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