Abstract
This paper addresses the problem of automated deduction for Humberstone's inaccessible worlds logic. We exhibit a sound and complete translation into a normal bimodal logic for which efficient proof methods have been devised in the last years. By the way, our translation provides a sound, complete and finitary axiomatization of Humberstone's inaccessible worlds logic.
This work has been partially supported by the Esprit projects DRUMS II and MEDLAR II. Thanks to Philippe Balbiani, Luis Fariñas del Cerro, and Stephan Merz for their comments.
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© 1993 Springer-Verlag Berlin Heidelberg
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Gasquet, O., Herzig, A. (1993). Translating inaccessible worlds logic into bimodal logic. In: Clarke, M., Kruse, R., Moral, S. (eds) Symbolic and Quantitative Approaches to Reasoning and Uncertainty. ECSQARU 1993. Lecture Notes in Computer Science, vol 747. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0028194
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DOI: https://doi.org/10.1007/BFb0028194
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