A Theory of Interactive Debugging of Knowledge Bases in Monotonic Logics

TL;DR

This paper introduces a theoretically grounded, complete, sound, and optimal interactive debugging method for knowledge bases in monotonic logics, involving user queries to precisely identify and correct faults.

Contribution

It presents a novel, theoretically rigorous approach to interactive KB debugging that guarantees minimal, accurate repairs based on user input, overcoming limitations of existing non-interactive methods.

Findings

Proposes a complete and sound debugging algorithm.

Ensures minimal, precise KB repairs.

Demonstrates effectiveness through theoretical analysis.

Abstract

A broad variety of knowledge-based applications such as recommender, expert, planning or configuration systems usually operate on the basis of knowledge represented by means of some logical language. Such a logical knowledge base (KB) enables intelligent behavior of such systems by allowing them to automatically reason, answer queries of interest or solve complex real-world problems. Nowadays, where information acquisition comes at low costs and often happens automatically, the applied KBs are continuously growing in terms of size, information content and complexity. These developments foster the emergence of errors in these KBs and thus pose a significant challenge on all people and tools involved in KB evolution, maintenance and application. If some minimal quality criteria such as logical consistency are not met by some KB, it becomes useless for knowledge-based applications. To guarantee the compliance of KBs with given requirements, (non-interactive) KB debuggers have been proposed. These however often cannot localize all potential faults, suggest too large or incorrect modifications of the faulty KB or suffer from poor scalability due to the inherent complexity of the KB debugging problem. As a remedy to these issues, based on a well-founded theoretical basis this work proposes complete, sound and optimal methods for the interactive debugging of KBs that suggest the one (minimally invasive) error correction of the faulty KB that yields a repaired KB with exactly the intended semantics. Users, e.g. domain experts, are involved in the debugging process by answering automatically generated queries whether some given statements must or must not hold in the domain that should be modeled by the problematic KB at hand.