Representation results for defeasible logic

@article{Antoniou2001RepresentationRF,
  title={Representation results for defeasible logic},
  author={Grigoris Antoniou and David Billington and Guido Governatori and Michael J. Maher},
  journal={ACM Trans. Comput. Log.},
  year={2001},
  volume={2},
  pages={255-287}
}
The importance of transformations and normal forms in logic programming, and generally in computer science, is well documented. This paper investigates transformations and normal forms in the context of Defeasible Logic, a simple but efficient formalism for nonmonotonic reasoning based on rules and priorities. The transformations described in this paper have two main benefits: on one hand they can be used as a theoretical tool that leads to a deeper understanding of the formalism, and on the… 

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References

SHOWING 1-10 OF 38 REFERENCES
A Study of Provability in Defeasible Logic
TLDR
It is shown that defeaters do not add to the expressiveness of defeasible logic, among other results, and the analysis supports the restriction ofdefeasible logic to admit only acyclic superiority relations.
Normal Forms for Defeasible Logic
TLDR
This paper derives some representation results for defeasible logic and shows that the superiority relation does not add to the expressive power of the logic, and can be simulated by other ingredients in a modular way.
Efficient defeasible reasoning systems
TLDR
It is believed that defeasible logic, with its efficiency and simplicity is a good candidate to be used as a modelling language for practical applications, including modelling of regulations and business rules.
Defeasible Logic is Stable
TLDR
This work defines, and gives some of the intuition behind the definition of, a nonmonotonic logic called defeasible logic, and shows how well the definition captures the authors' intuitions.
Modeling defeasible reasoning with multiple agents
TLDR
The authors present a proof theory and semantics for a logic that makes it possible to explicitly model internal perspectives or multiple agents and shows how it is possible to specify the relative superiority of some experts over others in a natural way using ordered logic.
On the analysis of regulations using defeasible rules
TLDR
This paper claims that automated support for reasoning with regulations can be provided on the basis of defeasible logical rules, and illustrates some aspects using examples from one specific domain: university regulations.
Defeasible Reasoning
TLDR
A general theory of warrant, based on defeasible reasons, is developed and used as guide in the construction of theory of defeosible reasoning, and a computer program implementing that theory is developed.
Deimos: Query answering defeasible logic system
TLDR
Deimos is a complete implementation of propositional Defeasible logic and some variants, which includes command-line-driven theorem provers and a web-accessible theorem prover.
...
...