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On rules of abduction

On rules of abduction We present a logical theory of abduction based on the idea of recognizing explanation, or abduction, as a separate reasoning activity. We describe a formalism for writing rules of abduction; furthermore, we define a validity criterion for such rules. The criterion is based on the concept of invariants. This idea allows us to link abduction with induction and deduction. We believe that the three types of inference rules can best be understood in terms of symmetry, i.e. types of relations they preserve, namely: explainability, falsifiability and truth. We also formulate a model theory of abduction and link it with a proof theory. We discuss a variety of rules of abduction and argue that logical forms of abduction do not have to be restricted to the reversemodus ponens. These rules are used to describe such tasks as word-sense disambiguation and anaphora resolution in natural language processing, as well as abduction-based diagnosis. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Mathematics and Artificial Intelligence Springer Journals

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References (54)

Publisher
Springer Journals
Copyright
Copyright
Subject
Computer Science; Artificial Intelligence; Mathematics, general; Computer Science, general; Complex Systems
ISSN
1012-2443
eISSN
1573-7470
DOI
10.1007/BF01530940
Publisher site
See Article on Publisher Site

Abstract

We present a logical theory of abduction based on the idea of recognizing explanation, or abduction, as a separate reasoning activity. We describe a formalism for writing rules of abduction; furthermore, we define a validity criterion for such rules. The criterion is based on the concept of invariants. This idea allows us to link abduction with induction and deduction. We believe that the three types of inference rules can best be understood in terms of symmetry, i.e. types of relations they preserve, namely: explainability, falsifiability and truth. We also formulate a model theory of abduction and link it with a proof theory. We discuss a variety of rules of abduction and argue that logical forms of abduction do not have to be restricted to the reversemodus ponens. These rules are used to describe such tasks as word-sense disambiguation and anaphora resolution in natural language processing, as well as abduction-based diagnosis.

Journal

Annals of Mathematics and Artificial IntelligenceSpringer Journals

Published: Apr 5, 2005

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