A general approach to reasoning with probabilities

Cerutti, Federico ORCID: https://orcid.org/0000-0003-0755-0358 and Thimm, Matthias 2019. A general approach to reasoning with probabilities. International Journal of Approximate Reasoning 111 , pp. 35-50. 10.1016/j.ijar.2019.05.003

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Abstract

We propose a general scheme for adding probabilistic reasoning capabilities to a wide variety of knowledge representation formalisms and we study its properties. Syntactically, we consider adding probabilities to the formulas of a given base logic. Semantically, we define a probability distribution over the subsets of a knowledge base by taking the probabilities of the formulas into account accordingly. This gives rise to a probabilistic entailment relation that can be used for uncertain reasoning. Our approach is a generalisation of many concrete probabilistic enrichments of existing approaches, such as ProbLog (an approach to probabilistic logic programming) and the constellation approach to abstract argumentation. We analyse general properties of our approach and provide some insights into novel instantiations that have not been investigated yet.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Computer Science & Informatics Crime and Security Research Institute (CSURI)
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Publisher:	Elsevier
ISSN:	0888-613X
Funders:	DAIS-ITA
Date of First Compliant Deposit:	14 May 2019
Date of Acceptance:	4 May 2019
Last Modified:	06 Nov 2023 13:43
URI:	https://orca.cardiff.ac.uk/id/eprint/122405

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