Reasoning on Multirelational Contextual Hierarchies via Answer Set Programming with Algebraic Measures. Issue 5 (September 2021)
- Record Type:
- Journal Article
- Title:
- Reasoning on Multirelational Contextual Hierarchies via Answer Set Programming with Algebraic Measures. Issue 5 (September 2021)
- Main Title:
- Reasoning on Multirelational Contextual Hierarchies via Answer Set Programming with Algebraic Measures
- Authors:
- BOZZATO, LORIS
EITER, THOMAS
KIESEL, RAFAEL - Abstract:
- Abstract: Dealing with context-dependent knowledge has led to different formalizations of the notion of context. Among them is the Contextualized Knowledge Repository (CKR) framework, which is rooted in description logics but links on the reasoning side strongly to logic programs and Answer Set Programming (ASP) in particular. The CKR framework caters for reasoning with defeasible axioms and exceptions in contexts, which was extended to knowledge inheritance across contexts in a coverage (specificity) hierarchy. However, the approach supports only this single type of contextual relation and the reasoning procedures work only for restricted hierarchies, due to nontrivial issues with model preference under exceptions. In this paper, we overcome these limitations and present a generalization of CKR hierarchies to multiple contextual relations, along with their interpretation of defeasible axioms and preference. To support reasoning, we use ASP with algebraic measures, which is a recent extension of ASP with weighted formulas over semirings that allows one to associate quantities with interpretations depending on the truth values of propositional atoms. Notably, we show that for a relevant fragment of CKR hierarchies with multiple contextual relations, query answering can be realized with the popular asprin framework. The algebraic measures approach is more powerful and enables, for example, reasoning with epistemic queries over CKRs, which opens interesting perspectives for theAbstract: Dealing with context-dependent knowledge has led to different formalizations of the notion of context. Among them is the Contextualized Knowledge Repository (CKR) framework, which is rooted in description logics but links on the reasoning side strongly to logic programs and Answer Set Programming (ASP) in particular. The CKR framework caters for reasoning with defeasible axioms and exceptions in contexts, which was extended to knowledge inheritance across contexts in a coverage (specificity) hierarchy. However, the approach supports only this single type of contextual relation and the reasoning procedures work only for restricted hierarchies, due to nontrivial issues with model preference under exceptions. In this paper, we overcome these limitations and present a generalization of CKR hierarchies to multiple contextual relations, along with their interpretation of defeasible axioms and preference. To support reasoning, we use ASP with algebraic measures, which is a recent extension of ASP with weighted formulas over semirings that allows one to associate quantities with interpretations depending on the truth values of propositional atoms. Notably, we show that for a relevant fragment of CKR hierarchies with multiple contextual relations, query answering can be realized with the popular asprin framework. The algebraic measures approach is more powerful and enables, for example, reasoning with epistemic queries over CKRs, which opens interesting perspectives for the use of quantitative ASP extensions in other applications. … (more)
- Is Part Of:
- Theory and practice of logic programming. Volume 21:Issue 5(2021)
- Journal:
- Theory and practice of logic programming
- Issue:
- Volume 21:Issue 5(2021)
- Issue Display:
- Volume 21, Issue 5 (2021)
- Year:
- 2021
- Volume:
- 21
- Issue:
- 5
- Issue Sort Value:
- 2021-0021-0005-0000
- Page Start:
- 593
- Page End:
- 609
- Publication Date:
- 2021-09
- Subjects:
- defeasible knowledge -- description logics -- ASP -- algebraic measures -- justifiable exceptions
Logic programming -- Periodicals
Artificial intelligence -- Computer programs -- Periodicals
Constraint programming (Computer science) -- Periodicals
005.115 - Journal URLs:
- https://www.cambridge.org/core/journals/theory-and-practice-of-logic-programming ↗
- DOI:
- 10.1017/S1471068421000284 ↗
- Languages:
- English
- ISSNs:
- 1471-0684
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 19689.xml