2 research outputs found
Multi-Valued Verification of Strategic Ability
Some multi-agent scenarios call for the possibility of evaluating
specifications in a richer domain of truth values. Examples include runtime
monitoring of a temporal property over a growing prefix of an infinite path,
inconsistency analysis in distributed databases, and verification methods that
use incomplete anytime algorithms, such as bounded model checking. In this
paper, we present multi-valued alternating-time temporal logic (mv-ATL*), an
expressive logic to specify strategic abilities in multi-agent systems. It is
well known that, for branching-time logics, a general method for
model-independent translation from multi-valued to two-valued model checking
exists. We show that the method cannot be directly extended to mv-ATL*. We also
propose two ways of overcoming the problem. Firstly, we identify constraints on
formulas for which the model-independent translation can be suitably adapted.
Secondly, we present a model-dependent reduction that can be applied to all
formulas of mv-ATL*. We show that, in all cases, the complexity of verification
increases only linearly when new truth values are added to the evaluation
domain. We also consider several examples that show possible applications of
mv-ATL* and motivate its use for model checking multi-agent systems