Intuitionistic hybrid logic
نویسندگان
چکیده
منابع مشابه
Intuitionistic hybrid logic
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 hy...
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An intuitionistic, hybrid modal logic suitable for reasoning about distribution of resources was introduced in [14, 15]. The modalities of the logic allow us to validate properties in a particular place, in some place and in all places. We give a sound and complete Kripke semantics for the logic extended with disjunctive connectives. The extended logic can be seen as an instance of Hybrid IS5. ...
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This article shows how different functional interpretations can be combined into what we term hybrid functional interpretations. These hybrid interpretations work on the setting of a multi-modal linear logic. Functional interpretations of intuitionistic logic can be combined via Girard’s embedding of intuitionistic logic into linear logic. We first show how to combine the usual Kreisel’s modifi...
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There are basically two ways to view intuitionistic logic: (i) as a philosoph ical–foundational issue in mathematics, (ii) as a technical discipline within mathematical logic. Let us deal with the philosophical aspects first, they will provide the motivation for the subject. In doing so, we will follow L.E.J. Brouwer, the founding father of intuitionism. Brouwer did contribute little to intuiti...
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ژورنال
عنوان ژورنال: Journal of Applied Logic
سال: 2006
ISSN: 1570-8683
DOI: 10.1016/j.jal.2005.06.009