World Library  
Flag as Inappropriate
Email this Article

Preferential entailment

Article Id: WHEBN0003011353
Reproduction Date:

Title: Preferential entailment  
Author: World Heritage Encyclopedia
Language: English
Subject: Circumscription (logic), Non-classical logic, Logic in computer science, Index of logic articles
Collection: Knowledge Representation, Logic in Computer Science, Non-Classical Logic
Publisher: World Heritage Encyclopedia
Publication
Date:
 

Preferential entailment

Preferential entailment is a non-monotonic logic based on selecting only models that are considered the most plausible. The plausibility of models is expressed by an ordering among models called a preference relation, hence the name preference entailment.

Formally, given a propositional formula F and an ordering over propositional models \leq, preferential entailment selects only the models of F that are minimal according to \leq. This selection leads to a non-monotonic inference relation: F \models_\text{pref} G holds if and only if all minimal models of F according to \leq are also models of G.[1]

Circumscription can be seen as the particular case of preferential entailment when the ordering is based on containment of the sets of variables assigned to true (in the propositional case) or containment of the extensions of predicates (in the first-order logic case).[1]

See also

References

  1. ^ a b .
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and USA.gov, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for USA.gov and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
 
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
 
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.
 


Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.