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Decision methods for linearly ordered Heyting algebras
Authors:Roy Dyckhoff  Sara Negri
Institution:(1) School of Computer Science, St Andrews University, St Andrews, Fife, KY16 9SX, Scotland;(2) Department of Philosophy, University of Helsinki, PL 9, 00014, Finland
Abstract:The decision problem for positively quantified formulae in the theory of linearly ordered Heyting algebras is known, as a special case of work of Kreisel, to be solvable; a simple solution is here presented, inspired by related ideas in Gödel-Dummett logic.
Keywords:lattice theory  linear order  Heyting algebra  G?del algebra  G?del-Dummett logic
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