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On an Automated Translation of Modal Proof Rules into Formulas of the Classical Logic
1994 (English)In: Journal of Applied Non-Classical Logics, ISSN 1166-3081, Vol. 4, no 2, 119-127Article in journal (Refereed) Published
Abstract [en]

 In this paper we study correspondences between modal proof rules and the classical logic. The method we apply is based on an Ackermann's technique of eliminating second-order quantifiers from formulas. We show that the process of finding suitable correspondences can be reduced to a few simple steps. Moreover, the whole technique can be fully mechanized. We thus provide the reader with a powerful tool, useful in automated translations between modal logics and the classical logic.

Keyword [en]
automated theorem proving, correspondence theory, modal logics
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-74979 (URN)oai:DiVA.org:liu-74979 (OAI)diva2:499789 (DiVA)
Available from2012-02-13 Created:2012-02-13 Last updated:2012-02-22

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Szalas, Andrzej
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