English

A framework for a modular multi-concept lexicographic closure semantics

Artificial Intelligence 2020-09-07 v2

Abstract

We define a modular multi-concept extension of the lexicographic closure semantics for defeasible description logics with typicality. The idea is that of distributing the defeasible properties of concepts into different modules, according to their subject, and of defining a notion of preference for each module based on the lexicographic closure semantics. The preferential semantics of the knowledge base can then be defined as a combination of the preferences of the single modules. The range of possibilities, from fine grained to coarse grained modules, provides a spectrum of alternative semantics.

Keywords

Cite

@article{arxiv.2009.00964,
  title  = {A framework for a modular multi-concept lexicographic closure semantics},
  author = {Laura Giordano and Daniele Theseider Dupré},
  journal= {arXiv preprint arXiv:2009.00964},
  year   = {2020}
}

Comments

18 pages. Accepted for presentation at NMR2020 (18th International Workshop on Non-Monotonic Reasoning, September 12th - 14th - Rhodes, Greece

R2 v1 2026-06-23T18:15:50.217Z