Twenty-Five Years of Preferred Subtheories

  • Jérôme Lang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9060)


In the seminal paper [6], Gerd Brewka argued that ranking a set of default rules without prerequisites, and selecting extensions according to a lexicographic refinement of the inclusion ordering proves to be a natural, simple and efficient way of dealing with the multiple extension (or “subtheories”) problem. This natural idea has been reused, discussed, revisited, reinvented, adapted many times in the AI community and beyond. Preferred subtheories do not only have an interest in default reasoning, but also in reasoning about time, reasoning by analogy, reasoning with compactly represented preferences, judgment aggregation, and voting. They have several variants (but arguably not so many). In this short paper I will say as much as I can about preferred subtheories in sixteen pages.


Belief Base Default Rule Default Theory Default Logic Judgment Aggregation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Jérôme Lang
    • 1
  1. 1.CNRS-LAMSADEUniversité Paris-DauphineFrance

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