Title
Exploiting Game Theory for Analysing Justifications
Abstract
Justification theory is a unifying semantic framework. While it has its roots in non-monotonic logics, it can be applied to various areas in computer science, especially in explainable reasoning; its most central concept is a justification: an explanation why a property holds (or does not hold) in a model. In this paper, we continue the study of justification theory by means of three major contributions. The first is studying the relation between justification theory and game theory. We show that justification frameworks can be seen as a special type of games. The established connection provides the theoretical foundations for our next two contributions. The second contribution is studying under which condition two different dialects of justification theory (graphs as explanations vs trees as explanations) coincide. The third contribution is establishing a precise criterion of when a semantics induced by justification theory yields consistent results. In the past proving that such semantics were consistent took cumbersome and elaborate proofs. We show that these criteria are indeed satisfied for all common semantics of logic programming.
Year
DOI
Venue
2020
10.1017/S1471068420000186
THEORY AND PRACTICE OF LOGIC PROGRAMMING
Keywords
DocType
Volume
justification theory,positional games,logic programming,non-monotonic logic
Journal
20
Issue
ISSN
Citations 
SP6
1471-0684
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Simon Marynissen101.01
Bart Bogaerts28316.49
Marc Denecker31626106.40