Tableau calculus for local cubic modal logic and it's implementation

Marx, M. and Mikulas, Szabolcs and Schlobach, S. (1999) Tableau calculus for local cubic modal logic and it's implementation. Logic Journal of the IGPL 7 (6), pp. 755-778. ISSN 1367-0751.

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Official URL: https://doi.org/10.1093/jigpal/7.6.755

Abstract

In this paper we investigate the two-variable fragment of modal logics of relations interpreted on local squares, LC2. A labelled tableau calculus is presented and its soundness and completeness are proven. Further, a termination proof enables us to use the calculus as a theorem prover. The prover has been implemented in Prolog, and we give a short system description. The paper also contains examples for how the system works including translations from other modal logics into LC2.

Metadata

Item Type:	Article
School:	School of Business, Economics & Informatics > Computer Science and Information Systems
Depositing User:	Sarah Hall
Date Deposited:	13 Jul 2021 14:53
Last Modified:	13 Jul 2021 14:53
URI:	https://eprints.bbk.ac.uk/id/eprint/45083

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