Game-Theoretic Semantics for ATL+ with Applications to Model Checking
نویسندگان
چکیده
We develop a game-theoretic semantics (GTS) for the fragment ATL of the Alternating-time Temporal Logic ATL∗, essentially extending a recently introduced GTS for ATL. We show that the new game-theoretic semantics is equivalent to the standard compositional semantics of ATL (with perfectrecall strategies). Based on the new semantics, we provide an analysis of the memory and time resources needed for model checking ATL and show that strategies of the verifier that use only a very limited amount of memory suffice. Furthermore, using the GTS we provide a new algorithm for model checking ATL and identify a natural hierarchy of tractable fragments of ATL that extend ATL.
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