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Translation methods for non-classical logics: an overview

Ohlbach, Hans J├╝rgen

MPI-I-93-225. June 1993, 18 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
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.
References to related material:

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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},