Similarity of Separate Transition Systems
When comparing two different transition systems (S', Λ', →') and (S' ', Λ' ', →' '), the basic notions of simulation and similarity can be used by forming the disjoint composition of the two machines, (S, Λ, →) with S = S' ∐ S' ', Λ = Λ' ∪ Λ' ' and → = →' ∪ →' ', where ∐ is the disjoint union operator between sets.
Read more about this topic: Simulation Preorder
Famous quotes containing the words similarity of, similarity, separate, transition and/or systems:
“Incompatibility. In matrimony a similarity of tastes, particularly the taste for domination.”
—Ambrose Bierce (18421914)
“Incompatibility. In matrimony a similarity of tastes, particularly the taste for domination.”
—Ambrose Bierce (18421914)
“The chief assertion of religious morality is that white is a colour. Virtue is not the absence of vices or the avoidance of moral dangers; virtue is a vivid and separate thing, like pain or a particular smell.”
—Gilbert Keith Chesterton (18741936)
“There is not any present moment that is unconnected with some future one. The life of every man is a continued chain of incidents, each link of which hangs upon the former. The transition from cause to effect, from event to event, is often carried on by secret steps, which our foresight cannot divine, and our sagacity is unable to trace. Evil may at some future period bring forth good; and good may bring forth evil, both equally unexpected.”
—Joseph Addison (16721719)
“Not out of those, on whom systems of education have exhausted their culture, comes the helpful giant to destroy the old or to build the new, but out of unhandselled savage nature, out of terrible Druids and Berserkirs, come at last Alfred and Shakespeare.”
—Ralph Waldo Emerson (18031882)