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Logic Journal of IGPL 1993 1(1):69-89; doi:10.1093/jigpal/1.1.69
© 1993 by Oxford University Press
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Original Articles

Translation Methods for Non-Classical Logics: An Overview

HANS JURGEN OHLBACH

Max-Planck-Institut für Informatik, Im Stadtwald 66123 Saarbrucken F. R. GermanyE:mail: ohlbach{at}mpi-sb.mpg.de

This paper gives an overview on translation methods we have developed for nonclassical logics, in particular for modal logics. Optimized ‘functional’ and semi-functional translation into predicate logic is described. Using normal modal logic as an intermediate logic, other logics can be translated into predicate logic as well. As an example, the translation of modal logic of graded modalities is sketched. In the second part of the paper it is shown how to translate Hilbert axioms into properties of the semantic structure and vice versa., i.e. we can automate important parts of correspondence theory. The exact formalisms and the soundness and completeness proofs can be found in the original papers.


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