An Extension of ATL with Strategy Interaction

Abstract

We propose an extension to ATL ( alternating-time temporal logic ), called BSIL ( basic strategy-interaction logic ), for specifying collaboration among agents in a multiagent system. We show that BSIL is strictly more expressive than ATL + but incomparable with ATL * , GL ( game logic ), and AMC ( alternating μ-calculus ) in expressiveness. We show that a memoryful strategy is necessary for fulfilling a specification in BSIL. We establish that the BSIL model-checking problem is PSPACE-complete. However, BSIL model checking can be performed in time quadratic in the model for fixed formulas. The BSIL (and hence ATL + ) satisfiability is 2EXPTIME-complete. Finally, we report our experiment with a model checker for BSIL.