Abstract
In this paper we introduce Strategy Logic with
Simple Goals (SL[SG]), a fragment of Strategy
Logic that strictly extends Alternating-time Temporal Logic ATL by introducing arbitrary quantifi-
cation over the agents’ strategies. Our motivation
comes from game-theoretic applications, such as
expressing Stackelberg equilibria in games, coercion in voting protocols, as well as module checking for simple goals. We prove that model checking
SL[SG] is P-complete, the same as ATL. Thus, the
extra expressive power comes at no computational
cost as far as verification is concerned