Verification of Inconsistency-Aware Knowledge and Action Bases (Extended Version)

TL;DR

This paper enhances Knowledge and Action Bases by integrating inconsistency-tolerant semantics using repairs, establishing decidability and complexity results for verification of temporal properties.

Contribution

It introduces a novel approach to handle inconsistencies in KABs through repairs, extending the existing framework with inconsistency-tolerant semantics.

Findings

Decidability of verification with inconsistency handling

Complexity results for the extended framework

Integration of repairs into KABs for inconsistency management

Abstract

Description Logic Knowledge and Action Bases (KABs) have been recently introduced as a mechanism that provides a semantically rich representation of the information on the domain of interest in terms of a DL KB and a set of actions to change such information over time, possibly introducing new objects. In this setting, decidability of verification of sophisticated temporal properties over KABs, expressed in a variant of first-order mu-calculus, has been shown. However, the established framework treats inconsistency in a simplistic way, by rejecting inconsistent states produced through action execution. We address this problem by showing how inconsistency handling based on the notion of repairs can be integrated into KABs, resorting to inconsistency-tolerant semantics. In this setting, we establish decidability and complexity of verification.