Eternity variables to prove simulation of specifications

Details Eternity variables to prove simulation of specifications Eternity variables to prove simulation of specifications

2002-07-29

arxiv.org/abs/cs/0207095v4

ACM Trans. on Computational Logic 6 (2005) 175-201.

Computer Science

Distributed, Parallel, and Cluster Computing

28 pages, to appear in ACM-TOCL

Scientific paper

Simulations of specifications are introduced as a unification and generalization of refinement mappings, history variables, forward simulations, prophecy variables, and backward simulations. A specification implements another specification if and only if there is a simulation from the first one to the second one that satisfies a certain condition. By adding stutterings, the formalism allows that the concrete behaviours take more (or possibly less) steps than the abstract ones. Eternity variables are introduced as a more powerful alternative for prophecy variables and backward simulations. This formalism is semantically complete: every simulation that preserves quiescence is a composition of a forward simulation, an extension with eternity variables, and a refinement mapping. This result does not need finite invisible nondeterminism and machine closure as in the Abadi-Lamport Theorem. Internal continuity is weakened to preservation of quiescence.

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