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Journal of Logic and Computation 2005 15(4):489-506; doi:10.1093/logcom/exi031
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Vol. 15 No. 4, © The Author, 2005. Published by Oxford University Press. All rights reserved.

Original Articles

A Note on Linear Kripke Models

Rosalie Iemhoff

Institute for Discrete Mathematics and Geometry E104, Technical University Vienna, Wiedner Hauptstrasse 8-10, 1040 Vienna, Austria. Email: iemhoff{at}logic.at

Gödel logics correspond to linear models with constant domains. In this paper other truth value logics, Scott logics, are defined, that correspond to linear models with possibly non-constant domains. An extension of intuitionistic logic with an existence predicate is discussed, and it is shown that this provides a natural translation of Scott logics into Gödel logics extended by this predicate.

Keywords: Kripke models, Gödel logics, Scott logics, linear frames, cones, existence predicate, Kripke models, truth value sets

Received 12 April 2005.


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