In:
South African Computer Journal, South African Institute of Computer Scientists and Information Technologists, Vol. 32, No. 2 ( 2020-12-08)
Abstract:
Datalog is a declarative logic programming language that uses classical logical reasoning as its basic form of reasoning. Defeasible reasoning is a form of non-classical reasoning that is able to deal with exceptions to general assertions in a formal manner. The KLM approach to defeasible reasoning is an axiomatic approach based on the concept of plausible inference. Since Datalog uses classical reasoning, it is currently not able to handle defeasible implications and exceptions. We aim to extend the expressivity of Datalog by incorporating KLM-style defeasible reasoning into classical Datalog. We present a systematic approach for extending the KLM properties and a well-known form of defeasible entailment: Rational Closure. We conclude by exploring Datalog extensions of less conservative forms of defeasible entailment: Relevant and Lexicographic Closure. We provide algorithmic definitions for these forms of defeasible entailment and prove that the definitions are LM-rational.
Type of Medium:
Online Resource
ISSN:
2313-7835
,
1015-7999
DOI:
10.18489/sacj.v32i2.846
Language:
Unknown
Publisher:
South African Institute of Computer Scientists and Information Technologists
Publication Date:
2020
detail.hit.zdb_id:
2121137-1
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