A fibred tableau calculus for modal logics of agents

Authors:
Vineet Padmanabhan;Guido Governatori
Affiliations:
School of Information Technology & Electrical Engineering, The University of Queensland, Queensland, Australia;School of Information Technology & Electrical Engineering, The University of Queensland, Queensland, Australia
Venue:
DALT'06 Proceedings of the 4th international conference on Declarative Agent Languages and Technologies
Year:
2006

Citing 8
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Abstract

In [15,19] we showed how to combine propositional multimodal logics using Gabbay's fibring methodology. In this paper we extend the above mentioned works by providing a tableau-based proof technique for the combined/ fibred logics. To achieve this end we first make a comparison between two types of tableau proof systems, (graph & path), with the help of a scenario (The Friend's Puzzle). Having done that we show how to uniformly construct a tableau calculus for the combined logic using Governatori's labelled tableau system KEM. We conclude with a discussion on KEM's features.