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

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.

Mots clés: hybrid logic; topological semantics; theorem proving

Domaines: Logique en informatique [cs.LO]

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⟩