A three-valued approach to default logic
- Anna Radzikowska
ABSTRACT In this paper we present a new, three-valued approach to default logic, DL3. We employ the Lukasiewicz three-valued logic as a basis. This proposal is in the spirit of a slightly modified Reiter's default formalism. The key feature of our system is its ability to express the possibility character of default conclusions. Technically, this is achieved by using the possibility operator definable in the Lukasiewicz logic. Our approach increases expressibility in comparison to the standard formalism and allows for greater flexibility from the standpoint of the knowledge representation. We investigate basic formal properties of DL3 and provide a model theoretic characterization of extensions. A proof theory is also studied. We present a method, based on the classical linear resolution, to find a default proof.
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- Journal series
- Journal of Applied Non-Classical Logics, ISSN 1166-3081
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- DOI:10.1080/11663081.1996.10510876 Opening in a new tab
- http://www.tandfonline.com/doi/abs/10.1080/11663081.1996.10510876 Opening in a new tab
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.