Artificial Intelligence
Generality in artificial intelligence
Communications of the ACM
AI Magazine
A guide to completeness and complexity for modal logics of knowledge and belief
Artificial Intelligence
Artificial intelligence and mathematical theory of computation
Contexts: a formalization and some applications
Contexts: a formalization and some applications
Formalizing Commonsense: Papers by John McCarthy
Formalizing Commonsense: Papers by John McCarthy
IJCAI'93 Proceedings of the 13th international joint conference on Artifical intelligence - Volume 1
The representation and use of focus in a system for understanding dialogs
IJCAI'77 Proceedings of the 5th international joint conference on Artificial intelligence - Volume 1
From abstract to concrete norms in agent institutions
FAABS'04 Proceedings of the Third international conference on Formal Approaches to Agent-Based Systems
A contextualized knowledge framework for semantic web
ESWC'10 Proceedings of the 7th international conference on The Semantic Web: research and Applications - Volume Part II
CLIMA'04 Proceedings of the 5th international conference on Computational Logic in Multi-Agent Systems
Counts-as: classification or constitution? an answer using modal logic
DEON'06 Proceedings of the 8th international conference on Deontic Logic and Artificial Normative Systems
MIWAI'11 Proceedings of the 5th international conference on Multi-Disciplinary Trends in Artificial Intelligence
Fundamenta Informaticae
Fundamenta Informaticae
Papers On Context: Theory And Practice
Fundamenta Informaticae
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In this paper we investigate the simple logical properties of contexts. We describe both the syntax and semantics of a general propositional language of context, and give a Hilbert style proof system for this language. A propositional logic of context extends classical propositional logic in two ways. Firstly, a new modality, ist(k, φ), is introduced. It is used to express that the sentence, φ, holds in the context k. Secondly, each context has its own vocabulary, i.e. a set of propositional atoms which are defined or meaningful in that context. The main results of this paper are the soundness and completeness of this Hilbert style proof system. We also provide soundness and completeness results (i.e. correspondence theory) for various extensions of the general system.