MPI-INF/SWS Research Reports 1991-2021

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Translation methods for non-classical logics: an overview

Ohlbach, Hans Jürgen

June 1993, 18 pages.

Status: available - back from printing

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, 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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  AUTHOR = {Ohlbach, Hans J{\"u}rgen},
  TITLE = {Translation methods for non-classical logics: an overview},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-93-225},
  MONTH = {June},
  YEAR = {1993},
  ISSN = {0946-011X},