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Experiments in Theorem Proving for Topological Hybrid Logic

Dmitry Sustretov 1 Guillaume Hoffmann 1 Carlos Areces 1 Patrick Blackburn 1
1 TALARIS - Natural Language Processing: representation, inference and semantics
Inria Nancy - Grand Est, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : This paper discusses two experiments in theorem proving for hybrid logic under the topological interpre-tation. We begin by discussing the topological interpretation of hybrid logic and noting what it adds to the topological interpretation of orthodox modal logic. We then examine two implemented proof methods. The first makes use of HyLoBan, a terminating theorem prover that searches for a winning search strategy in certain topologically motivated games. The second is a translation-based approach that makes use of HyLoTab, a tableaux-based theorem prover for hybrid logic under the standard relational interpretation. We compare the two methods, and note a number of directions for further work.
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https://hal.inria.fr/inria-00187303
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Submitted on : Wednesday, November 14, 2007 - 11:47:32 AM
Last modification on : Friday, February 26, 2021 - 3:28:08 PM
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Dmitry Sustretov, Guillaume Hoffmann, Carlos Areces, Patrick Blackburn. Experiments in Theorem Proving for Topological Hybrid Logic. Methods for Modalities 5, Nov 2007, Cachan, France. ⟨inria-00187303⟩

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