Complexity and scalability of defeasible reasoning in 1 many-valued weighted knowledge bases

03/08/2023

∙

by   Mario Alviano, et al.

∙

0

∙

share

Weighted knowledge bases for description logics with typicality under a "concept-wise” multi-preferential semantics provide a logical interpretation of MultiLayer Perceptrons. In this context, Answer Set Programming (ASP) has been shown to be suitable for addressing defeasible reasoning in the finitely many-valued case, providing a Π^p_2 upper bound on the complexity of the problem, nonetheless leaving unknown the exact complexity and only providing a proof-of-concept implementation. This paper fulfils the lack by providing a P^NP[log]-completeness result and new ASP encodings that deal with weighted knowledge bases with large search spaces.