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Three formats of prioritized adaptive logics: a comparative study

(2013) LOGIC JOURNAL OF THE IGPL. 21(2). p.127-159
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Abstract
A broad range of defeasible reasoning forms has been explicated by prioritized adaptive logics. However, the relative lack in meta-theory of many of these logics stands in sharp contrast to the frequency of their application. This article presents the first comparative study of a large group of prioritized adaptive logics. Three formats of such logics are discussed: superpositions of adaptive logics, hierarchic adaptive logics from F. Van De Putte (2011, Log. J. IGPL, doi:10.1093/jigpal/jzr025) and lexicographic adaptive logics from F. Van De Putte and C. Stra ss er (2012, Log. Anal., forthcoming). We restrict the scope to logics that use the strategy Minimal Abnormality. It is shown that the semantic characterizations of these systems are equivalent and that they are all sound with respect to either of these characterizations. Furthermore, sufficient conditions for the completeness and equivalence of the consequence relations of the three formats are established. Some attractive properties, including Fixed Point and the Deduction Theorem, are shown to hold whenever these conditions are obeyed.
Keywords
Prioritized defeasible reasoning, adaptive logics, lexicographic orders, selection semantics, combinations of logics

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Please use this url to cite or link to this publication:

MLA
Van De Putte, Frederik, and Christian Strasser. “Three Formats of Prioritized Adaptive Logics: a Comparative Study.” LOGIC JOURNAL OF THE IGPL 21.2 (2013): 127–159. Print.
APA
Van De Putte, Frederik, & Strasser, C. (2013). Three formats of prioritized adaptive logics: a comparative study. LOGIC JOURNAL OF THE IGPL, 21(2), 127–159.
Chicago author-date
Van De Putte, Frederik, and Christian Strasser. 2013. “Three Formats of Prioritized Adaptive Logics: a Comparative Study.” Logic Journal of the Igpl 21 (2): 127–159.
Chicago author-date (all authors)
Van De Putte, Frederik, and Christian Strasser. 2013. “Three Formats of Prioritized Adaptive Logics: a Comparative Study.” Logic Journal of the Igpl 21 (2): 127–159.
Vancouver
1.
Van De Putte F, Strasser C. Three formats of prioritized adaptive logics: a comparative study. LOGIC JOURNAL OF THE IGPL. 2013;21(2):127–59.
IEEE
[1]
F. Van De Putte and C. Strasser, “Three formats of prioritized adaptive logics: a comparative study,” LOGIC JOURNAL OF THE IGPL, vol. 21, no. 2, pp. 127–159, 2013.
@article{3152459,
  abstract     = {A broad range of defeasible reasoning forms has been explicated by prioritized adaptive logics. However, the relative lack in meta-theory of many of these logics stands in sharp contrast to the frequency of their application. This article presents the first comparative study of a large group of prioritized adaptive logics. Three formats of such logics are discussed: superpositions of adaptive logics, hierarchic adaptive logics from F. Van De Putte (2011, Log. J. IGPL, doi:10.1093/jigpal/jzr025) and lexicographic adaptive logics from F. Van De Putte and C. Stra ss er (2012, Log. Anal., forthcoming). We restrict the scope to logics that use the strategy Minimal Abnormality. It is shown that the semantic characterizations of these systems are equivalent and that they are all sound with respect to either of these characterizations. Furthermore, sufficient conditions for the completeness and equivalence of the consequence relations of the three formats are established. Some attractive properties, including Fixed Point and the Deduction Theorem, are shown to hold whenever these conditions are obeyed.},
  author       = {Van De Putte, Frederik and Strasser, Christian},
  issn         = {1367-0751},
  journal      = {LOGIC JOURNAL OF THE IGPL},
  keywords     = {Prioritized defeasible reasoning,adaptive logics,lexicographic orders,selection semantics,combinations of logics},
  language     = {eng},
  number       = {2},
  pages        = {127--159},
  title        = {Three formats of prioritized adaptive logics: a comparative study},
  url          = {http://dx.doi.org/10.1093/jigpal/jzs004},
  volume       = {21},
  year         = {2013},
}

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