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Journal Article

Translation Methods for Non-Classical Logics: An Overview


Ohlbach,  Hans Jürgen
Programming Logics, MPI for Informatics, Max Planck Society;

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Ohlbach, H. J. (1993). Translation Methods for Non-Classical Logics: An Overview. Bulletin of the Interest Group in Propositional and Predicate Logics (IGPL), 1(1), 69-90.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-ADEB-D
This paper gives an overview on translation methods we have developed for non-classical 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.