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 (1842–1914)
“Incompatibility. In matrimony a similarity of tastes, particularly the taste for domination.”
—Ambrose Bierce (1842–1914)
“There is nothing intrinsically better about a child who happily bounces off to school the first day and a child who is wary, watchful, and takes a longer time to separate from his parents and join the group. Neither one nor the other is smarter, better adjusted, or destined for a better life.”
—Ellen Galinsky (20th century)
“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 (1672–1719)
“No civilization ... would ever have been possible without a framework of stability, to provide the wherein for the flux of change. Foremost among the stabilizing factors, more enduring than customs, manners and traditions, are the legal systems that regulate our life in the world and our daily affairs with each other.”
—Hannah Arendt (1906–1975)