@ARTICLE{2013:4IJAR,
  author = {Angelo Gilio and Giuseppe Sanfilippo},
  title = {Probabilistic entailment in the setting of coherence:The role of
	quasi conjunction and inclusion relation},
  journal = {International Journal of Approximate Reasoning},
  year = {2013},
  volume = {54},
  pages = {513--525},
  number = {4},
  note = {doi 10.1016/j.ijar.2012.11.001},
  abstract = {In this paper, by adopting a coherence-based probabilistic approach
	to default reasoning, we focus the study on the logical operation
	of quasi conjunction and the Goodman-Nguyen inclusion relation for
	conditional events. We recall that quasi conjunction is a basic notion
	for defining consistency of conditional knowledge bases. By deepening
	some results given in a previous paper we show that, given any finite
	family of conditional events F and any nonempty subset S of F, the
	family F p-entails the quasi conjunction C(S); then, given any conditional
	event E|H, we analyze the equivalence between p-entailment of E|H
	from F and p-entailment of E|H from C(S), where S is some nonempty
	subset of F. We also illustrate some alternative theorems related
	with p-consistency and p-entailment. Finally, we deepen the study
	of the connections between the notions of p-entailment and inclusion
	relation by introducing for a pair (F,E|H) the (possibly empty) class
	K of the subsets S of F such that C(S) implies E|H. We show that
	the class K satisfies many properties; in particular K is additive
	and has a greatest element which can be determined by applying a
	suitable algorithm.},
  comment = {
  <a href="https://www.researchgate.net/publication/234059990_Probabilistic_entailment_in_the_setting_of_coherence_The_role_of_quasiconjunction_and_inclusion_relation"  target="_blank"
  >[ResearchGate]</a>
   <a href="http://arxiv.org/abs/1301.0958" target="_blank">[Arxiv]</a>},
  doi = {10.1016/j.ijar.2012.11.001},
  issn = {0888-613X},
  mrclass = {68T37 (03B48)},
  mrnumber = {3041115},
  scopus = {{2-s2.0-84875225966}},
  url = {http://dx.doi.org/10.1016/j.ijar.2012.11.001},
  wos = {{WOS:000317379500007}}
}