Journal of Applied Logic 4 (3):231-255 (2006)

Authors
Valeria Correa Vaz De Paiva
University of Birmingham
Abstract
Hybrid logics are a principled generalization of both modal logics and description logics, a standard formalism for knowledge representation. In this paper we give the first constructive version of hybrid logic, thereby showing that it is possible to hybridize constructive modal logics. Alternative systems are discussed, but we fix on a reasonable and well-motivated version of intuitionistic hybrid logic and prove essential proof-theoretical results for a natural deduction formulation of it. Our natural deduction system is also extended with additional inference rules corresponding to conditions on the accessibility relations expressed by so-called geometric theories. Thus, we give natural deduction systems in a uniform way for a wide class of constructive hybrid logics. This shows that constructive hybrid logics are a viable enterprise and opens up the way for future applications.
Keywords Hybrid logic  Modal logic  Intuitionistic logic
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DOI 10.1016/j.jal.2005.06.009
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References found in this work BETA

Basic Proof Theory.Roy Dyckhoff - 2001 - Bulletin of Symbolic Logic 7 (2):280-280.
Topology Via Logic.P. T. Johnstone & Steven Vickers - 1991 - Journal of Symbolic Logic 56 (3):1101.

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Citations of this work BETA

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A Family of Gödel Hybrid Logics.Didier Galmiche & Yakoub Salhi - 2010 - Journal of Applied Logic 8 (4):371-385.

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