Download PDFOpen PDF in browserTableau Calculus for Dummett Logic Based on Present and Next State of Knowledge16 pages•Published: May 15, 2012AbstractIn this paper we use the Kripke semantics characterization of Dummett logic to introduce a new way of handling non-forced formulas in tableau proof systems. We pursue the aim of reducing the search space by strictly increasing the number of forced propositional variables after the application of non-invertible rules. The focus of the paper is on a new tableau system for Dummett logic, for which we have an implementation. The ideas presented can be extended to intuitionistic logic and intermediate logics as well.Keyphrases: automated theorem proving, dummett logic, tableau calculi In: Geoff Sutcliffe, Stephan Schulz and Eugenia Ternovska (editors). IWIL 2010. The 8th International Workshop on the Implementation of Logics, vol 2, pages 17-32.
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