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Resolution-Based Calculi for Modal and Temporal Logics

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons45132

Nonnengart,  Andreas
Programming Logics, MPI for Informatics, Max Planck Society;

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Zitation

Nonnengart, A. (1996). Resolution-Based Calculi for Modal and Temporal Logics. In M. A. McRobbie, & J. K. Slaney (Eds.), Proceedings of the 13th International Conference on Automated Deduction (CADE-13) (pp. 598-612). Berlin, Germany: Springer.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0014-AC08-4
Zusammenfassung
In this paper a technique is presented which provides us with a means to develop resolution-based calculi for (first-order) modal and temporal logics. The approach is based on three parts: A special translation technique from modal and temporal logic formulae into classical predicate logic, a certain kind of saturation technique which is to be applied to given background theories, and an extraction of either suitable ``simpler'' background theories or logic-specific inference rules. The former is interesting in case existing classical logic theorem provers are to be utilized; the latter gains importance if one is prepared to extend theorem provers that are already at hand.