Representation, reasoning, and relational structures: a hybrid logic manifesto

Logic Journal of the IGPL 8 (3):339-365 (2000)
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Abstract

This paper is about the good side of modal logic, the bad side of modal logic, and how hybrid logic takes the good and fixes the bad.In essence, modal logic is a simple formalism for working with relational structures . But modal logic has no mechanism for referring to or reasoning about the individual nodes in such structures, and this lessens its effectiveness as a representation formalism. In their simplest form, hybrid logics are upgraded modal logics in which reference to individual nodes is possible.But hybrid logic is a rather unusual modal upgrade. It pushes one simple idea as far as it will go: represent all information as formulas. This turns out to be the key needed to draw together a surprisingly diverse range of work . Moreover, it displays a number of knowledge representation issues in a new light, notably the importance of sorting

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Patrick Blackburn
Roskilde University

Citations of this work

Proof Analysis in Modal Logic.Sara Negri - 2005 - Journal of Philosophical Logic 34 (5-6):507-544.
Arthur Prior and Hybrid Logic.Patrick Blackburn - 2006 - Synthese 150 (3):329-372.
Reasoning About Preference Dynamics.Fenrong Liu - 2011 - Dordrecht, Netherland: Springer Verlag.
Proof Theory for Modal Logic.Sara Negri - 2011 - Philosophy Compass 6 (8):523-538.

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