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Relative expressiveness of defeasible logics

Published online by Cambridge University Press:  05 September 2012

MICHAEL J. MAHER
MICHAEL J. MAHER*
Affiliation:
School of Engineering and Information TechnologyUniversity of New South Wales at the Australian Defence Forces AcademyACT 2600, Australia (e-mail: m.maher@adfa.edu.au)
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Abstract

We address the relative expressiveness of defeasible logics in the framework DL. Relative expressiveness is formulated as the ability to simulate the reasoning of one logic within another logic. We show that such simulations must be modular, in the sense that they also work if applied only to part of a theory, in order to achieve a useful notion of relative expressiveness. We present simulations showing that logics in DL with and without the capability of team defeat are equally expressive. We also show that logics that handle ambiguity differently – ambiguity blocking versus ambiguity propagating – have distinct expressiveness, with neither able to simulate the other under a different formulation of expressiveness.

Keywords

defeasible logicnon-monotonic reasoningrelative expressiveness
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 12 , Issue 4-5: 28th International Conference on Logic Programming , July 2012 , pp. 793 - 810
Copyright
Copyright © Cambridge University Press 2012

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