Decision methods for linearly ordered Heyting algebras |
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Authors: | Roy Dyckhoff Sara Negri |
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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 |
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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. |
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Keywords: | lattice theory linear order Heyting algebra G?del algebra G?del-Dummett logic |
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