Decidable properties for monadic Abstract State Machines (ASMs)

Beauquier Daniele (Univ. Paris XII)

We consider a class of Gurevich Abstract State Machines (ASM) that work over a finite parametric domain and make assignments only to unary predicates. We are interested in the decidability of timed properties of such machines with inputs. We prove that if the inputs are without parameters, i e. nullary dynamic predicates, the properties expressed in a two-sorted first-order logic (like safety, liveness with bounded waiting and others) are decidable.