Embedding Alternating-time Temporal Logic in Strategic Logic of Agency

Abstract

Seeing To It That (⁠⁠) logic is a logic of agency, proposed in the 1990s in the domain of philosophy of action. It is the logic of constructions of the form ‘agent a sees to it that φ’. We believe that theory can contribute to the logical analysis of multiagent systems. To support this claim, we show that there is a close relationship with more recent logics for multiagent systems. This work extends Broersen et al. (2006, Electron Notes Theor. Comput. Sci., Vol. 157, pp. 23–35) where we presented a translation from Pauly's Coalition Logic to Chellas' logic. Here we focus on Alur, Henzinger and Kupferman's Alternating-time Temporal Logic ⁠, and the logic of the ‘fused’ ⋄s[_scstit : _] operator for strategic ability, as described by Horty. After a brief presentation of ATL and the definition of a discrete-time strategic framework slightly adapted from Horty, we give a translation from ATL to the framework, and prove that it determines correct embedding.